Whitehall District Schools ► Pre-Calculus ► Pre-Calc ► Chapter 7: Systems and Matrices

• 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.
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