Whitehall District Schools ► Pre-Calculus ► Pre-Calc

• Pre-Calc 639 
  • Area
  • Area and Perimeter
  • Calculated MC
  • Calculated Short Answer
  • Calculated Simple
  • Identify Movie
  • Most likely be become a princess......
  • Solve the problem.To measure the width of a river, a surveyor starts at point...
  • Vertex Form using a string substitution (difficult)
  • Vertex form using compound answers
  • Vertex Form with Cloze
  • Chapter 1: Functions and Graphs 54   
    • 1.1 Modeling and Equation Solving 5   
      • Match the equation with the appropriate graph.f(x) = 
      • Solve the equation algebraically.x(x - 2) = 35
      • Solve the equation graphically.3x - 2 = x3 - 5
      • Solve the problem.  The following data set gives the average home value, in...
      • Solve the problem.  Use the graph of f to estimate the local maximum and ...
    • 1.2 Functions and Their Properties 13   
      • Determine if the function is bounded above, bounded below, bounded on its ...
      • Determine if the function is bounded above, bounded below, bounded on its ...
      • Find horizontal asymptotes
      • Find horizontal asymptotes (none)
      • Find the asymptote(s) of the given function.f(x) =  horizontal asymptotes(s)
      • Find the asymptote(s) of the given function.g(x) =  horizontal asymptotes(s)
      • Find the asymptote(s) of the given function.h(x) =  vertical asymptotes(s)
      • Find the domain of the given function.f(x) = 
      • Find the domain of the given function.f(x) = 
      • Find the range of the function.f(x) = (x - 1)2 + 1
      • Find the range of the function.f(x) = 6x + 14
      • Graph the function and determine if it has a point of discontinuity at x = 0....
      • Identify intervals on which the function is increasing, decreasing, or ...
    • 1.3 Twelve Basic Functions 3   
      • Graph the function on your calculator to determine the domain and range from ...
      • Graph the function on your calculator to determine the domain and range from ...
      • Match the function with the graph.
    • 1.4 Building Functions from Functions 4   
      • Find functions f and g so that h(x) = f(g(x)).y = 
      • Perform the requested operation or operations.f(x) = 7x + 14; g(x) = 4x - 1F...
      • Perform the requested operation or operations.f(x) = x2 + 2; g(x) = Find ...
      • Solve the problem.  A satellite camera takes a rectangular - shaped picture...
    • 1.5 Parametric Relations and Inverses 6   
      • Determine if the function is one-to-one.
      • Find a direct relationship between x and y.x = 3t and y = 2t + 7
      • Find inverse of function
      • Find the (x,y) pair for the value of the parameter.x = 2t and y = t2 - 2 for ...
      • Find the inverse of the function.f(x) = x3 + 7
      • Graph the inverse of the function plotted, on the same set of axes. Use a ...
    • 1.6 Graphical Transformations 4   
      • Describe how the graph of y=x2 can be transformed to the graph of the given ...
      • Fill in the blanks to complete the statement.The graph of  can be obtained ...
      • Find equation for transformation
      • The graph is that of a function y = f(x) that can be obtained by transforming...
    • 1.7 Modeling with Functions 19   
      • Alcohol Mixture
      • Alloy Mixture
      • Investing in Two Accounts
      • Match situation with function
      • Max Volume of Box (needs work)
      • Rate Conversion
      • Silver Iodide Mixture
      • Silver Iodide Mixture (Simple Calculated)
      • Solve the problem.  Anne and Nancy use a metal alloy that is 24.34% copper ...
      • Solve the problem.  How many liters of a 10% alcohol solution must be mixed...
      • Solve the problem.  In a chemistry class, 9 liters of a 4% silver iodide ...
      • Solve the problem.  Sue invested $10,000, part at 5.1% annual interest and ...
      • Swimming Pool Dimensions
      • Use an equation to solve the problem.A tire of a moving bicycle has radius ...
      • Use an equation to solve the problem.A construction company builds a swimming...
      • Use an equation to solve the problem.A square of side x inches is cut out of ...
      • Write a mathematical expression for the quantity described verbally.A salary ...
      • Write a mathematical expression for the quantity described verbally.The ...
      • Write a mathematical expression for the quantity described verbally.The total...
  • Chapter 10: Intro to Calculus: Limits, Derivatives, and Integrals 15   
    • Matching Calculus Concepts
    • 10.1 Derivatives 4   
      • 10.1.1 Estimate Slope of Tangent Line from Graph 1   
        • Estimate slope of tangent line
      • 10.1.2 Find Derivative Using Definition 1   
        • Derivative of a Function
      • 10.1.3 Find Derivative of Function at Given Point 1   
        • Derivative of a Function at a Point
      • 10.1.4 Solve Apps: Velocity 1   
        • Find Instantaneous Velocity
    • 10.2 Integrals 4   
      • 10.2.1 Find Definite Integral by Computing Area 3   
        • Find the Definte Inegral (Rectangle)
        • Find the Definte Inegral (Trapezoid)
        • Find the Definte Inegral (Triangle)
      • 10.2.2 Find Definite Integral using Sin/Cos 1   
        • Find the Definte Inegral (Sin/Cos)
    • 10.3 Limits 3   
      • 10.3.1 Find Limit by Direct Substitution 1   
        • Direct Substitution
      • 10.3.2 Find Limit Algebraically 1   
        • Find Limit Algebraically
      • 10.3.3 Find Limit and Vertical Asymptotes 1   
        • Limit and Vertical Asymptote
    • 10.4 Numerical Derivatives/Integrals 3   
      • 10.4.1 Compute Numerical Derivative 1   
        • Numerical Derivative
      • 10.4.2 Compute Numerical Integral 1   
        • Numerical Integral
      • 10.4.3 Solve Apps: Numerical Derivatives/Integrals 1   
        • Solve Apps: Numerical Integral
  • Chapter 2: Polynomial, Power, and Rational Functions 143   
    • Describe the end behavior of the polynomial function by finding f and f = ...
    • Divide using synthetic division, and write a summary statement in fraction ...
    • Evaluate the limit based on the graph of f shown.f
    • Find the remainder when f(x) is divided by (x - k)  (Numeric ...
    • Find the requested function.Find the polynomial function with leading ...
    • Find the zeros of the polynomial function and state the multiplicity of each....
    • For the given function, find all asymptotes of the type indicated (if there ...
    • Match the polynomial function graph to the appropriate zeros and multiplicities.
    • Provide an appropriate response.Let f be a polynomial function with real ...
    • Solve the equation. -  = 
    • Solve the problem.  (Numeric Answer)The Cool Company determines that the ...
    • Solve the problem.An open-top rectangular box has a square base and it will ...
    • State how many total and real zeros the function has.f = x3 + 2x2 - 11x - 12
    • Use limits to describe the behavior of the rational function near the ...
    • 2.1 Linear/Quadratic Functions and Modeling 36   
      • 2.1.1 Linear Functions 13   
        • Describe the strength and direction of the linear correlation.
        • Describe the strength and direction of the linear correlation.
        • Describe the strength and direction of the linear correlation.
        • If the following is a polynomial function, then state its degree and leading ...
        • If the following is a polynomial function, then state its degree and leading ...
        • If the following is a polynomial function, then state its degree and leading ...
        • If the following is a polynomial function, then state its degree and leading ...
        • Solve the problem.  Bill Monotone sells used CDs for $9.75 each. Each used ...
        • Solve the problem.  Dan's long-distance phone carrier charges him $7.95 a ...
        • Use regression to solve the problem. Round numbers to the nearest hundredth.T...
        • Write an equation for the linear function f satisfying the given conditions....
        • Write an equation for the linear function f satisfying the given conditions.f...
        • Write an equation for the linear function f satisfying the given conditions.f...
      • 2.1.2 Quadratic Functions 23   
        • Complete the square
        • Find degree of polynomial
        • Find the axis of symmetry of the graph of the function.f(x) = 3x2 + 30x + 78
        • Find the axis of the graph of the function.f(x) = (x + 3)2 + 4
        • Find the axis of the graph of the function.f(x) = 2x2 + 20x + 51
        • Find the axis of the graph of the function.f(x) = 3x2 + 6x + 8
        • Find the vertex of the graph of the function.f(x) = -4x2 - 16x - 22
        • Find the vertex of the graph of the function.f(x) = (x - 2)2 + 3
        • Find the vertex of the graph of the function.f(x) = (x + 5)2 + 1
        • Find the vertex of the graph of the function.f(x) = 2(x - )2 + 2
        • Find the vertex of the graph of the function.f(x) = 3(x - 1)2 + 6
        • Find the vertex of the graph of the function.f(x) = 3x2 + 18x + 29
        • Maximum height of projectile
        • Solve the problem.  A projectile is thrown upward so that its distance ...
        • Solve the problem.  The number of mosquitoes M(x), in millions, in a ...
        • Solve the problem.  The perimeter of a rectangle is 82 m. If the width were...
        • Solve the problem.  The stadium vending company finds that sales of hot ...
        • Solve the problem.The profit made when t units are sold, t > 0, is given by 
        • Write an equation for the quadratic function whose graph contains the given ...
        • Write an equation for the quadratic function whose graph contains the given ...
        • Write an equation for the quadratic function whose graph contains the given ...
        • Write the quadratic function in vertex form.y = x2 - 10x + 18
        • Write the quadratic function in vertex form.y = x2 + 4x
    • 2.2 Power Functions and Modeling 10   
      • 2.2.1 Power Function Basics 6   
        • Degree and Leading Coefficient
        • Determine if the function is a monomial function (given that c and k ...
        • Determine whether the power function is even, odd, or neither.f = 6x1/3
        • Solve the problem.The table shows the population of a certain city in various...
        • Write the statement as a power function equation. Use k as the constant of ...
        • Write the statement as a power function equation. Use k as the constant of ...
      • 2.2.2 Power Function Applications 4   
        • Boyle's Gas Law
        • Data are given for y as a power function of x. Write an equation for the ...
        • Force between masses
        • Weight of liquid
    • 2.3 Polynomial Functions with Modeling 15   
      • 2.3.1 Describe End Behavior 3   
        • Describe the end behavior of the polynomial function by finding f and f = (x...
        • Describe the end behavior of the polynomial function by finding f and f = -x3...
        • Describe the end behavior of the polynomial function by finding f and f = x3 ...
      • 2.3.2 Find Zeros 6   
        • Find cubic function from zeros
        • Find real zeros by factoring
        • Find the zeros of the polynomial function and state the multiplicity of each....
        • Match the given graph with its polynomial function.
        • Use a graphing calculator to approximate the real zeros of the function ...
        • Use a graphing calculator to approximate the real zeros of the function ...
      • 2.3.3 Solve Applications 6   
        • Solve the problem.A piece of rectangular sheet metal is 25 inches wide. It is...
        • Solve the problem.A rectangular piece of cardboard measuring 15 inches by 42 ...
        • Solve the problem.A rectangular piece of cardboard measuring 30 inches by 43 ...
        • Solve the problem.The polynomial function I(t) = -.1t2 + 1.5t represents the ...
        • Solve the problem.The polynomial function L(p) = p3 - 5p2 + 20 gives the rate...
        • Use a cubic or quartic regression (as specified) to fit a curve through the ...
    • 2.4 Real Zeros of Polynomials 32   
      • 2.4.1 Long Division/Synthetic Division 14   
        • Divide f(x) by d(x), and write a summary statement in the form indicated.f =...
        • Divide f(x) by d(x), and write a summary statement in the form indicated.f =...
        • Divide f(x) by d(x), and write a summary statement in the form indicated.f =...
        • Divide f(x) by d(x), and write a summary statement in the form indicated.f =...
        • Divide f(x) by d(x), and write a summary statement in the form indicated.f =...
        • Divide using synthetic division, and write a summary statement in fraction form.
        • Divide using synthetic division, and write a summary statement in fraction form.
        • Divide using synthetic division, and write a summary statement in fraction form.
        • Find the remainder when f(x) is divided by (x - k)f(x) = 2x3 + 3x2 + 4x + 18;...
        • Find the remainder when f(x) is divided by (x - k)f(x) = 3x4 - 2x3 + 2x2 + 2x...
        • Find the remainder when f(x) is divided by (x - k)f(x) = x2 - 8x + 9; k = -8
        • Use the Factor Theorem to determine whether the first polynomial is a factor ...
        • Use the Factor Theorem to determine whether the first polynomial is a factor ...
        • Use the Factor Theorem to determine whether the first polynomial is a factor ...
      • 2.4.2 Finding Rational Zeros 18   
        • Find all of the real zeros of the function. Give exact values whenever ...
        • Find all of the real zeros of the function. Give exact values whenever ...
        • Find all of the real zeros of the function. Give exact values whenever ...
        • Find all rational zeros.f = x4 - 7x3 + 3x2 + 21x - 18
        • Find all rational zeros.f = x4 + 3x3 + 3x2 - 6x - 27
        • Find all rational zeros.f(x) = 4x3 - 12x2 - x + 3
        • Find all rational zeros.f(x) = x3 + 2x2 - 16x - 32
        • Find the requested function.Find the polynomial function with leading ...
        • Find the requested function.Find the polynomial function with leading ...
        • Find the requested function.Find the polynomial function with leading ...
        • Solve the problem.  Ariel, a marine biologist, models a population P of ...
        • Solve the problem.  Photon Lighting Company determines that the supply and ...
        • Solve the problem.  The Cool Company determines that the supply function ...
        • Use the Factor Theorem to determine whether the first polynomial is a factor ...
        • Use the graph to guess possible linear factors of f(x). Then completely ...
        • Use the Rational Zeros Theorem to write a list of all potential rational ...
        • Use the Rational Zeros Theorem to write a list of all potential rational ...
        • Use the Rational Zeros Theorem to write a list of all potential rational ...
    • 2.5 Complex Zeros of Polynomials 9   
      • 2.5.1 Fundamental Theorem of Algebra 3   
        • Match the polynomial function graph to the appropriate zeros and multiplicities.
        • State how many complex and real zeros the function has.f = x4 - 63x2 - 64
        • State how many complex and real zeros the function has.f = x5 - 9x4 + 2x3 - ...
      • 2.5.2 Finding Complex Zeros 6   
        • Using the given zero, find all other zeros of f(x).-2i is a zero of f(x) = x4...
        • Write a linear factorization of the function.f(x) = 4x3 + 4x
        • Write a linear factorization of the function.f(x) = x3 + 8x2 + 16x + 128
        • Write a polynomial function of minimum degree with real coefficients whose ...
        • Write the function as a product of linear and irreducible quadratic factors, ...
        • Write the polynomial in standard form and identify the zeros of the function....
    • 2.6 Graphs of Rational Functions 12   
      • 2.6.1 Asymptotes 6   
        • For the given function, find all asymptotes of the type indicated (if there ...
        • For the given function, find all asymptotes of the type indicated (if there ...
        • For the given function, find all asymptotes of the type indicated (if there ...
        • For the given function, find all asymptotes of the type indicated (if there ...
        • For the given function, find all asymptotes of the type indicated (if there ...
        • For the given function, find all asymptotes of the type indicated (if there ...
      • 2.6.2 Analyze 6   
        • Describe how the graph of the given function can be obtained by transforming ...
        • Evaluate the limit based on the graph of f shown.f
        • State the domain of the rational function.f(x) = 
        • State the domain of the rational function.f(x) = 
        • State the domain of the rational function.f(x) = 
        • Use limits to describe the behavior of the rational function near the ...
    • 2.7 Solving Equations in One Variable 7   
      • 2.7.1 Basic Solving 3   
        • Solve the equation. -  = 3
        • Solve the equation. +   =   
        • Solve the polynomial inequality.(x + 2)(x - 1)(x - 10) < 0
      • 2.7.2 Applications 4   
        • Solve the problem.A plane suddenly experiences turbulence while in flight. At...
        • Solve the problem.An open-top rectangular box has a square base and it will ...
        • Solve the problem.An open-top rectangular box has a square base and it will ...
        • Solve the problem.In the following formula, y is the minimum number of hours ...
    • 2.8 Solving Inequalities in One Variable 8   
      • 2.8.1 Polynomial Inequalities 1   
        • Solve the polynomial inequality.(x + 10)(x + 1)(x - 3) < 0
      • 2.8.2 Other Inequalities 1   
        • Solve the inequality.x  > 0
      • 2.8.3 Applications 6   
        • Solve the problem.A flare fired from the bottom of a gorge is visible only ...
        • Solve the problem.A retailer knows that n games can be sold in a month if the...
        • Solve the problem.If a rocket is propelled upward from ground level, its ...
        • Solve the problem.The cost of producing t units is C = 3t2 + 8t, and the ...
        • Solve the problem.The profit made when t units are sold, t > 0, is given by  ...
        • Solve the problem.The profit made when t units are sold, t > 0, is given by  ...
  • Chapter 3: Exponential and Log Functions 22   
    • Evaluate:
      when
    • State whether the function is an exponential growth function or exponential ...
    • The following equation is exponential:
      
    • What is the base of this exponential function?
      
      
    • 3.1 Exponential and Logistic Functions 3   
      • Amount of radioactive element remaining
      • Decide whether the function is an exponential growth or exponential decay ...
      • Solve the equation.3(10 - 2x) = 81
    • 3.2 Exponential and Logistic Modeling 4   
      • Find the exponential function that satisfies the given conditions.Initial ...
      • Solve the problem.The number of students infected with the flu on a college ...
      • Solve the problem.The population of wolves in a state park after t years is ...
      • Solve the problem.There are currently 73 million cars in a certain country, ...
    • 3.4 Properties of Log Functions 2   
      • Rewrite the expression as a sum or difference or multiple of logarithms.log19 
      • Use the product, quotient, and power rules of logarithms to rewrite the ...
    • 3.5 Equations Solving and Modeling 4   
      • Find the exact solution to the equation.log4(x - 2) = - 1
      • Solve the problem.If an earthquake has an intensity of x, then its ...
      • Solve the problem.If x is the hydrogen ion concentration of a sample of ...
      • Use a calculator to find an approximate solution to the equation.e-t = 0.03
    • 3.6 Mathematics of Finance 5   
      • Determine the doubling time of the investment.$14,500 at 7% compounded monthly
      • Find the amount accumulated after investing a principal P for t years at an ...
      • Solve the problem.Find the annual percentage yield if the interest rate is 6....
      • Solve the problem.Find the interest rate necessary for a present value of ...
      • Solve the problem.How long must $6000 be in a bank at 7% compounded annually ...
  • Chapter 7: Systems and Matrices 57   
    • 7.1 Solving Systems of Two Equations 19   
      • Solve Applications: Linear Systems 3   
        • Solve the problem.A theatre sells two types of tickets to their plays; ...
        • Solve the problem.A theatre sells two types of tickets to their plays; ...
        • Solve the problem.Find the market equilibrium for the given supply and ...
      • Solve Applications: Nonlinear Systems 2   
        • Solve.A rectangular plot has area 126 yd2 with a perimeter of   What is the ...
        • Solve.Find the dimensions of a rectangular garden with perimeter  and area 
      • Solve Linear System by Elimination 4   
        • Solve the system by elimination. 3x + 4y = 31 6x = 29 - 8y
        • Solve the system by elimination. 9x - 7y = 72-6x + 4y = -48
        • Solve the system by elimination. x - 3y = -10 6x - 4y = -18
        • Solve the system by elimination.-4x - 7y = -17 2x - 3y = -11
      • Solve Nonlinear System Algebraically 2   
        • Solve the system algebraically.y = 15x23x + y = 12
        • Solve the system algebraically.y = x3 - x2y = 5x2
      • Solve System by Substitution 5   
        • Solve the system by substitution.  x - 5y = 2-7x - 6y = 27
        • Solve the system by substitution. x - 4y = -312x - 4y = -34
        • Solve the system by substitution.x - y2 = 0x - 25 = 0
        • Solve the system by substitution.x + y = 17x - y = 1
        • Solve the system by substitution.y - x2 = -3xy = x + 5
      • Use Graph to Estimate Solutions of System 3   
        • Use the graph to estimate any solutions of the system.2x - 2y = 6-3x + y = ...
        • Use the graph to estimate any solutions of the system.x - 4y = 42x - 8y = 16
        • Use the graph to estimate any solutions of the system.y = 5 + x - x2y = 1 + ...
    • 7.2 Matrix Algebra 9   
      • Add/Subtract Matrices 1   
        • Perform the indicated operation, if possible. - 
      • Add/Subtract/Scalar Multiply Matrices 1   
        • Find the indicated matrix.Let A =  and B = . Find 2A + B.
      • Determining Order of a Matrix 1   
        • Determine the order of the matrix.
      • Find Determinant of Square Matrix 1   
        • Find the determinant of the given matrix.
      • Find Inverse of Matrix 1   
        • Find the inverse of A if it has one, or state that the inverse does not ...
      • Find Unknowns in Matrix Equation 1   
        • Determine the value of each variable. = 
      • Identify Specified Element of Matrix 1   
        • Identify the element specified for the matrix.a12
      • Multiply Matrices I 2   
        • Find the indicated matrix product or state that the product is undefined.A ...
        • Find the matrix product, if possible. 
    • 7.3 Solving Linear Systems with Matrices 6   
      • Solve Applications: Linear Systems in 3-Variables 2   
        • Solve the problem.A company makes 3 types of cable. Cable A requires 3 ...
        • Solve the problem.A grain dealer sold to one customer 6 bushels of wheat, 2 ...
      • Solve Linear System in 3 or 4-Variables 1   
        • Solve the system of equations.  x + y + z - w = 6 2x - y + 3z + 4w = ...
      • Solve System using RREF 3   
        • Solve the system of equations by finding the reduced row echelon form for ...
        • Solve the system of equations by finding the reduced row echelon form for ...
        • Solve the system of equations by finding the reduced row echelon form for ...
    • 7.4 Partial Fractions 8   
      • Divide and Find Partial Fraction Decomposition 1   
        • Use division to write the rational function in the form  where the degree of ...
      • Find Partial Fraction Decomposition (Linear) 1   
        • Find the partial fraction decomposition.
      • Find Partial Fraction Decomposition (Nonlinear) 1   
        • Decompose into partial fractions.
      • Find Partial Fraction Decomposition Given Linear Terms 2   
        • Find the partial fraction decomposition. =  + 
        • Find the partial fraction decomposition. =  + 
      • Find Partial Fraction Decomposition Given Nonlinear Terms 1   
        • Find the partial fraction decomposition. =  + 
      • Write Terms of Partial Fraction Decomposition 2   
        • Write the terms for the partial fraction decomposition of the rational ...
        • Write the terms for the partial fraction decomposition of the rational ...
    • 7.5 Systems of Inequalities in Two Variables 8   
      • Graph Linear Inequality 1   
        • Graph the linear inequality.2x + 4y ≤ 8
      • Graph Nonlinear Inequality 1   
        • Graph the inequality.y ≤ 4x - x2
      • Match Inequality with Graph 1   
        • Determine which inequality matches the graph.
      • Solve Applications: Linear Programming Problem 1   
        • Solve the problem.The Acme Class Ring Company designs and sells two types of ...
      • Solve Linear Programming Problem 1   
        • Solve the problem.Find the maximum value of P = 8x + 12y subject to the ...
      • Solve System of Linear Inequalities 1   
        • Solve the system of inequalities.2x + y ≥ 4 x - 1 ≥ 0
      • Solve System of Nonlinear Inequalities 1   
        • Graph the system of inequalities. Shade the region that represents the ...
      • Write System of Inequalities Given Graph 1   
        • Write a system of inequalities whose solution set is the region shown.
    • Is College Affordable 7   
      • #10
      • #3
      • #5
      • #9
      • Room and Board Trend
      • Total College Cost
      • Tuition and Fees Trend
  • Chapter 8: Analytic Geometry in Two- and Three-Dimensions 84   
    • 8.1 Conic Sections and Parabolas 29   
      • 8.1.1 Find Vertex, Fous, Directrix, and Focal Width 5   
        • Find the vertex, focus, directrix, and focal width of the parabola.- x2 = y
        • Find the vertex, focus, directrix, and focal width of the parabola.x = 7y2
        • Find the vertex, focus, directrix, and focal width of the parabola.x2 = 8y
        • Find the vertex, focus, directrix, and focal width of the parabola.y2 = -32x
        • Find the vertex, focus, directrix, and focal width of the parabola.y2 = 16x
      • 8.1.2 Find Equation of Parabola from Graph 6   
        • Find an equation that matches the parabola's graph.
        • Find an equation that matches the parabola's graph.
        • Find an equation that matches the parabola's graph.
        • Find an equation that matches the parabola's graph.
        • Find an equation that matches the parabola's graph.
        • Find an equation that matches the parabola's graph.
      • 8.1.3 Find Equation for Parabola Given Conditions 10   
        • Find the standard form of the equation of the parabola.Focus at (-4, 7), ...
        • Find the standard form of the equation of the parabola.Focus at (0, 3), ...
        • Find the standard form of the equation of the parabola.Focus at (4, -9), ...
        • Find the standard form of the equation of the parabola.Focus at (7, 0), ...
        • Find the standard form of the equation of the parabola.Vertex at (-9, 4), ...
        • Find the standard form of the equation of the parabola.Vertex at (7, -8), ...
        • Find the standard form of the equation of the parabola.Vertex at the origin, ...
        • Find the standard form of the equation of the parabola.Vertex at the origin, ...
        • Find the standard form of the equation of the parabola.Vertex at the origin, ...
        • Find the standard form of the equation of the parabola.Vertex at the origin, ...
      • 8.1.4 Graph Parabola Given Equation 3   
        • Graph the parabola.4y = x2
        • Graph the parabola.4y = -x2
        • Graph the parabola.x = y2
      • 8.1.6 Solve Apps: Parabolas 5   
        • Parabolic Focus
        • Solve the problem. 20 m 1 mA radio telescope has a parabolic surface. If it ...
        • Solve the problem. 39 m  10 mA tunnel is in the shape of a parabola. The ...
        • Solve the problem. 58 ft 28 ftA building has an entry the shape of a ...
        • Solve the problem.A domed ceiling is a parabolic surface. For the best ...
    • 8.2 Ellipses 29   
      • 8.2.1 Find Center, Vertices, Foci of Ellipse 6   
        • Find the center, vertices, and foci of the ellipse with the given equation.
        • Find the center, vertices, and foci of the ellipse with the given equation.
        • Find the center, vertices, and foci of the ellipse with the given equation.
        • Find the center, vertices, and foci of the ellipse with the given equation.
        • Find the center, vertices, and foci of the ellipse with the given equation....
        • Find the center, vertices, and foci of the ellipse with the given equation....
      • 8.2.2 Find Equation of Ellipse from Graph 4   
        • Match the given graph with its equation.
        • Match the given graph with its equation.
        • Match the given graph with its equation.
        • Match the given graph with its equation.
      • 8.2.3 Graph Ellipse from Equation 3   
        • Graph the ellipse. +  = 1
        • Graph the ellipse. +  = 1
        • Graph the ellipse.9x2 + 25y2  = 225
      • 8.2.4 Find Equation of Ellipse Given Conditions 10   
        • Find an equation in standard form for the ellipse that satisfies the given ...
        • Find an equation in standard form for the ellipse that satisfies the given ...
        • Find an equation in standard form for the ellipse that satisfies the given ...
        • Find an equation in standard form for the ellipse that satisfies the given ...
        • Find an equation in standard form for the ellipse that satisfies the given ...
        • Find an equation in standard form for the ellipse that satisfies the given ...
        • Find an equation in standard form for the ellipse that satisfies the given ...
        • Find an equation in standard form for the ellipse that satisfies the given ...
        • Find an equation in standard form for the ellipse that satisfies the given ...
        • Find an equation in standard form for the ellipse that satisfies the given ...
      • 8.2.5 Find Eccentricity of Ellipse 3   
        • Find the eccentricity of the ellipse.35x2 + y2 = 35
        • Find the eccentricity of the ellipse.x2 + 3y2 = 15
        • Find the eccentricity of the ellipse.x2 + 7y2 = 7
      • 8.2.6 Solve Apps: Ellipses 3   
        • Solve the problem.A railroad tunnel is shaped like a semiellipse. The height ...
        • Solve the problem.A satellite is to be put into an elliptical orbit around a ...
        • Solve the problem.An elliptical riding path is to be built on a rectangular ...
    • 8.3 Hyperbolas 26   
      • 8.3.1 Find Vertices, Foci of Hyperbola from Equation 3   
        • Find the vertices and foci of the hyperbola. -  = 1
        • Find the vertices and foci of the hyperbola. -  = 1
        • Find the vertices and foci of the hyperbola. -  = 1
      • 8.3.2 Find Equation of Hyperbola from Graph 5   
        • Match the given graph with its equation.
        • Match the given graph with its equation.
        • Match the given graph with its equation.
        • Match the given graph with its equation.
        • Match the given graph with its equation.
      • 8.3.3 Graph Hyperbola from Equation 3   
        • Graph the hyperbola. -  = 1
        • Graph the hyperbola. -  = 1
        • Graph the hyperbola. -  = 1
      • 8.3.4 Find Equation of Hyperbola Given Conditions 7   
        • Find an equation in standard form for the hyperbola that satisfies the given ...
        • Find an equation in standard form for the hyperbola that satisfies the given ...
        • Find an equation in standard form for the hyperbola that satisfies the given ...
        • Find an equation in standard form for the hyperbola that satisfies the given ...
        • Find an equation in standard form for the hyperbola that satisfies the given ...
        • Find an equation in standard form for the hyperbola that satisfies the given ...
        • Find an equation in standard form for the hyperbola that satisfies the given ...
      • 8.3.5 Find Eccentricity of Hyperbola 5   
        • Find the eccentricity of the hyperbola.16x2 - y2 = 1
        • Find the eccentricity of the hyperbola.8x2 - 9y2 = 72
        • Find the eccentricity of the hyperbola.x2 - 16y2 = 1
        • Find the eccentricity of the hyperbola.x2 - 2y2 = 6
        • Find the eccentricity of the hyperbola.x2 - y2 = 49
      • 8.3.6 Solve Apps: Hyperbolas 3   
        • Solve the problem.A comet follows the hyperbolic path described by  -   = 1, ...
        • Solve the problem.The roof of a building is in the shape of the hyperbola 
        • Solve the problem.The roof of a building is in the shape of the hyperbola 
  • Chapter 9: Discrete Mathematics 21   
    • 9.1 Basic Combinatorics 8   
      • 9.1.1 Solve Apps: Multiplication Principle 2   
        • Auto Accessories
        • License Plates
      • 9.1.2 Evaluate Factorial, Combination, or Permulations 3   
        • Evaluating Combinations
        • Evaluating Factorials
        • Evaluating Permutations
      • 9.1.3 Decide between Permutations and Combinations 1   
        • Permutations vs. Combinations
      • 9.1.4 Solve Apps: Combinations 1   
        • How many committees?
      • 9.1.5 Solve Apps: Permutations 1   
        • Baseball Lineups
    • 9.2 The Binomial Theorem 3   
      • 9.2.1 Expand Binomial Expression 1   
        • Expand the Binomial
      • 9.2.2 Evaluate a Binomial Coefficient 1   
        • Evaluating Combinations
      • 9.2.3 Find Coefficient of Given Term in Expansion 1   
        • Find coefficient of a given term
    • 9.3 Probability 4   
      • 9.3.1 Calculate Probability (Dice) 1   
        • Probability of sum of two dice
      • 9.3.4 Calculate Probability of Card Hand 2   
        • Probability of Card Hand (one condition)
        • Probability of Card Hand (two conditions)
      • 9.3.5 Solve Apps: Probability 1   
        • Probability: Multiple Slips of Paper
    • Binomial Probability 6   
      • Boys and Girls
      • Boys and Girls (2)
      • Defective Batteries
      • Free Throws
      • Medical Treatment
      • Renting Cars
  • Monopoly Quiz 5   
    • Appropriate cost of Boardwalk
    • Bosco Blvd
    • Dore Drive
    • Equation of Linear Model
    • McWhinnie Lane
  • Trig Unit 1: Trig Functions 76   
    • 1.1 Angles 11   
      • Complement of an Angle
      • Convert DMS to Degrees
      • Convert the angle to degrees, minutes, and seconds.28.34°
      • Converting Revolutions per Minute
      • Find the angle of smallest possible positive measure coterminal with the ...
      • Find the measure of each angle in the problem.
      • Find the measure of each angle in the problem.
      • Perform the calculation.90° - 30°19'58"
      • Provide an appropriate response.Find the complement of an angle whose ...
      • Provide an appropriate response.Find the supplement of an angle whose ...
      • Supplement of an Angle
    • 1.2 Angle Relationships 4   
      • Corresponding Sides of Triangles
      • Find third angle of a triangle
      • The triangles are similar. Find the missing side, angle or value of the ...
      • Use the properties of angle measures to find the measure of each marked ...
    • 1.3 Trig Functions 13   
      • Evaluate Cos from random ordered pair
      • Evaluate Csc from random ordered pair
      • Evaluate Sin from random ordered pair
      • Evaluate Tan from random ordered pair
      • Evaluate the expression.sec 270°
      • Evaluate the expression.sin2 270° + cos2 270°
      • If n is an integer, n ∙ 180° represents an integer multiple of 180°, and 
      • If r is a positive number and the point (x, y) is in the indicated quadrant, ...
      • Place your graphing calculator in parametric and degree modes. Set the ...
      • Sketch an angle θ in standard position such that θ has the smallest positive ...
      • Suppose that θ is in standard position and the given point is on the ...
      • Suppose that θ is in standard position and the given point is on the ...
      • Trig Function Given Equation
    • 1.4 Using Trig Functions 10   
      • Cos function given ordered pair
      • Identify the quadrant for the angle θ satisfying the following conditions....
      • Sin function given ordered pair
      • Tan function given ordered pair
      • Trig Values given quadrant II
      • Trig Values given quadrant III
      • Trig Values given quadrant IV
      • Trig Values given sign of cofunction
      • Use Reciprocal Identities (Fractions)
      • Use Reciprocal Identity (Decimal)
    • 2.1 Trig Functions: Acute Angles 10   
      • Evaluate the function requested. Write your answer as a fraction in lowest ...
      • Find a solution for the equation. Assume that all angles are acute angles....
      • Give exact function value
      • Solve cofunctions equation for an angle
      • Suppose ABC is a right triangle with sides of lengths a, b, and c and right ...
      • Trig function given 2 sides of right triangle
      • Trig function given 2 sides of right triangle (II)
      • Write function in terms of cofunction (II)
      • Write the function in terms of its cofunction. Assume that any angle in ...
      • Write the function in terms of its cofunction. Assume that any angle in ...
    • 2.2 Trig Functions: Non-Acute Angles 4   
      • Find all values of θ, if θ is in the interval [0, 360°) and has the given ...
      • Find Reference Angle
      • Find the exact trigonometric function value.sec (-135°)
      • Give the exact value.cos 210°
    • 2.3 Find Trig Values: Calculator 10   
      • Evaluate Csc (degree/minutes)
      • Evaluate Tan (degree/minutes)
      • Find a value of θ in [0°, 90°] that satisfies the statement. Leave answer in ...
      • Find a value of θ in [0°, 90°] that satisfies the statement. Leave answer in ...
      • Grade Resistance (solve for F)
      • Grade Resistance (solve for W)
      • Inverse Cos (degrees) (calculator)
      • Inverse Cos (radians) (calculator)
      • Inverse Tan (radians) (calculator)
      • Solve the problem.A formula used by an engineer to determine the safe radius ...
    • 2.4 Solving Right Triangles 7   
      • Find distance to ranger station (Angle of Depression)
      • Find distance to tower (Angle of Depression)
      • Find height of building (Angle of Elevation)
      • Find height of cliff (Angle of Elevation)
      • Find length of shadow (Pythagorean Theorem)
      • Solve the right triangle. If two sides are given, give angles in degrees ...
      • Solve the right triangle.B = 42.1°, c = 4.2 mm, C = 90°
    • 2.5 Apps of Right Triangles 7   
      • Bearing and distrance traveled (Pythagorean Theorem)
      • Describe bearing
      • Distance to fire (bearing)
      • Radio direction finders
      • Solve the problem.The angle of elevation from a point on the ground to the ...
      • Use bearing to find distance traveled (Cos)
      • Use bearing to find distance traveled (Sin)
  • Trig Unit 2: Circular Functions 70   
    • 3.1 Radian Measure 9   
      • Circular pulley rotating about its center
      • Circular pulley rotating about its center (answer not given)
      • Convert degrees to radians (decimals)
      • Convert degrees to radians (multiple of pi)
      • Convert radians to degrees (decimals)
      • Find exact value (quadrantal angle)
      • Find exact value with radians (cos)
      • Find exact value with radians (sin)
      • Find exact value with radians (tan)
    • 3.2 Apps of Radian Measure 9   
      • Angle that wheel turns
      • Area from motion detector
      • Difference in wiper coverage
      • Find arc length
      • Find area of sector
      • Find distance between cities, given latitudes
      • Find latitude, given distance between cities
      • Length of pendulum
      • Rotations of a pulley
    • 3.3 Unit Circle 12   
      • Angle for exact value (Cos-3rd quadrant)
      • Angle for exact value (Sin-2nd quadrant) *issue w/decimals
      • Angle for exact value (Tan-3rd quadrant)
      • Evaluate sin w/calculator
      • Exact value-radians (Cos)
      • Exact value-radians (Sin)
      • Exact value-radians (Tan)
      • Find the exact value of s in the given interval that has the given circular ...
      • Find the exact value of s in the given interval that has the given circular ...
      • Inverse sec (decimal) ***Wrong
      • Inverse tan (decimal)
      • Solve the problem.The maximum afternoon temperature in Granderson is modeled ...
    • 3.4 Linear and Angular Speed 6   
      • Angular speed of pulley
      • RPM of tire
      • Solve for missing variable
      • Solve for missing variable (II)
      • Solve for missing variable (III)
      • Speed of point on rim of tire
    • 4.1 Graphs of Sin/Cos 8   
      • Determine amplitude from equation
      • Determine period from equation
      • Equation for weight attached to a spring
      • Find frequency of electrical circuit
      • Find period of electrical circuit
      • Graph cos function
      • The function graphed is of the form y = a sin bx or y = a cos bx, where b > ...
      • The function graphed is of the form y = a sin bx or y = a cos bx, where b > ...
    • 4.2 Translations of Sin/Cos 12   
      • Estimate temperature in Fairbanks
      • Find amplitude from equation
      • Find period from equation
      • Find phase shift
      • Find phase shift from equation
      • Find smallest time in alternating current
      • Find vertical shift
      • Graph the function over a one-period interval.y = 3cos 
      • Graph the function over a one-period interval.y = 4 + 2 sin(x - π)
      • Matching phase shifts with equations
      • Solve the problem.Use regression to find constants a, b, c, and d so that ...
      • The function graphed is of the form    or where d is the least possible ...
    • 4.3 Graphs of Tan/Cot 5   
      • Graph cot function
      • Graph tan function
      • Graph the function.y =  cot x 
      • Graph the function.y = tan 2x
      • The function graphed is of the form y = a tan bx or y = a cot bx, where b > ...
    • 4.4 Graphs of Sec/Csc 4   
      • Determine the equation of the graph.
      • Graph csc function
      • Graph sec function
      • Rotating beacon
    • 4.5 Harmonic Motion 5   
      • Find frequency and period
      • Maximum distance from equilibrium
      • Solve the problem.A guitar string is plucked so that it vibrates with a ...
      • Solve the problem.A weight attached to a spring is pulled down 5 inches ...
      • Solve the problem.The formula for the up and down motion of a weight on a ...
  • Trig Unit 3: Analytic Trig and Applications 70   
    • 5.1 Fundamental Identities 4   
      • Use the fundamental identities to find the value of the trigonometric ...
      • Use the fundamental identities to find the value of the trigonometric ...
      • Write the expression in terms of sine and cosine, and simplify so that no ...
      • Write the expression in terms of sine and cosine, and simplify so that no ...
    • 5.2 Verifying Trig Identities 6   
      • Perform the indicated operations and simplify the result.tan θ(cot θ - cos θ)
      • Simplify the expression.sin θ cos θ sec θ csc θ
      • Simplify the expression.sin2 x(cot2 x + 1)
      • Solve the problem.A wooden block sitting at rest on a flat, level board will ...
      • Use the fundamental identities to simplify the expression.
      • Use the fundamental identities to simplify the expression.tan2θ csc2θ
    • 5.3 and 5.4 Sum/Difference Identities 11   
      • Find the exact value by using a sum or difference identity.sin 15°
      • Find the exact value by using a sum or difference identity.tan 75°
      • Solve the problem.When a person bends at the waist with a straight back, the ...
      • Use a sum or difference identity to find the exact value.tan 
      • Use Identities to find the exact value.cos -75°
      • Use Identities to find the exact value.cos 165°
      • Use Identities to find the exact value.cos 36° cos 24° - sin 36° sin 24°
      • Use identities to write each expression as a function of θ.cos (θ + 90°)
      • Use the cofunction identities to find an angle θ that makes the statement ...
      • Use trigonometric identities to find the exact value.sin 20° cos 100° + cos ...
      • Write in terms of the cofunction of a complementary angle.sec 68° 28'
    • 5.5 Double Angle Identities 4   
      • Solve the problem.Suppose that for an electrical appliance, voltage is given ...
      • Use an identity to write the expression as a single trigonometric function ...
      • Use identities to find the indicated value for each angle measure.cos θ = , ...
      • Write the product as a sum or difference of trigonometric functions.cos 44° ...
    • 5.6 Half-Angle Identities 2   
      • Find the exact value by using a half-angle identity.cos 22.5°
      • Use an identity to write the expression as a single trigonometric function ...
    • 7.1 and 7.2 Law of Sines and Area of Triangle 10   
      • Area of painted triangle
      • Area of triangle
      • Distance of ship from port
      • Find the missing parts of the triangle.
      • Find the missing parts of the triangle.B = 11.4°b = 10.38a = 26.26
      • Find the missing parts of the triangle.B = 42°30'b = 8.67a = 21.01
      • Height of airplane
      • Length of guy wire
      • Solve the triangle.B = 34.4°C = 114.2°b = 29.50
      • Tracking Station
    • 7.3 Law of Cosines and Heron's Formula 10   
      • Cans of paint needed
      • Cost to carpet room
      • Distance between Two Towns
      • Find area using Heron's Formula
      • Find the indicated angle or side.Find the length of side a.
      • Find the indicated angle or side.Find the measure of angle A.
      • Find the missing parts of the triangle. (Find angles to the nearest ...
      • Find the missing parts of the triangle.B = 63°30'a = 12.20 ftc = 7.80 ft
      • Two planes leave airport at same time
      • Two ships leave port at same time
    • 7.4 Vectors 11   
      • Angle between vectors
      • Find component form of vector
      • Find dot product
      • Find dot product (i/j format)
      • Find magnitude and direction angle
      • Find scalar multiple
      • Find the angle between the pair of vectors to the nearest tenth of a degree., 
      • Find the magnitude and direction angle (to the nearest tenth) for each ...
      • Find vertical component of vector
      • Two forces act at a point in the plane. The angle between the two forces is ...
      • Write the vector in the form <a, b>.
    • 7.5 Apps of Vectors 12   
      • Airspeed of aircraft
      • Angle between forces
      • Angle rope makes with vertical (needs more work)
      • Find magnitude of norther and eastern vectors
      • Solve the problem.A box weighing 80 lb is hanging from the end of a rope. ...
      • Solve the problem.A fishing boat leaves port on a bearing of 35° and travels ...
      • Solve the problem.A hot-air balloon is rising vertically 12 ft/sec while the ...
      • Solve the problem.A plane is heading due south with an airspeed of 264 mph. ...
      • Solve the problem.A ship leaves point A and travels directly north to point ...
      • Solve the problem.Two people are carrying a box. One person exerts a force ...
      • Solve the problem.What is the minimum force required to prevent a ball ...
      • Weight of boat being pulled up ramp
  • WIRIS examples 11   
    • Decimal check
    • Random Ordered Pairs
    • WIRIS Compound Question
    • WIRIS Matching (Degree of equations)
    • WIRIS Matching (Degree of equations)
    • WIRIS Matching Question
    • WIRIS Matching with Graphs
    • WIRIS MC (Variables)
    • WIRIS MC question (no variables)
    • WIRIS MC w/variables in answers
    • WIRIS Short Answer (variables)