Pre-Calc
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Chapter 7: Systems and Matrices
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7.4 Partial Fractions
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Find Partial Fraction Decomposition Given Linear Terms
Chapter 7: Systems and Matrices
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7.1 Solving Systems of Two Equations
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Solve Applications: Linear Systems
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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
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Add/Subtract Matrices
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Perform the indicated operation, if possible. -
Add/Subtract/Scalar Multiply Matrices
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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
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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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