Question 1

Find the solution to the system of equations by substitution.
-x = -y y + x = 6

Accepted Answer

A)  (1, 1) 
B)  (1, 5) 
C)  infinite number of solutions 
D)  no solution 
A)  (1, 1) 
B)  (1, 5) 
C)  infinite number of solutions 
D)  no solution D

Question 2

Express each equation in slope-intercept form. Without graphing the equations, state whether the system of equations
has exactly one solution, no solution, or an infinite number of solutions.
-2x - 3y = 9 6x - 9y = 36

Accepted Answer

A)  infinite number of solutions 
B)  no solution 
C)  one solution 
A)  infinite number of solutions 
B)  no solution 
C)  one solution B

Question 3

Solve the system of equations using the addition method.
-7x + 7y + z = 1 x + 8y + 8z = 8
9x + y + 9z = 9

Accepted Answer

A)  (-1, 1, 1) 
B)  (0, 0, 1) 
C)  (0, 1, 0) 
D)  (1, -1, 1) 
A)  (-1, 1, 1) 
B)  (0, 0, 1) 
C)  (0, 1, 0) 
D)  (1, -1, 1) B

Question 4

Find the solution to the system of equations by substitution.
-

Accepted Answer

A)  (4, 0) 
B)  (0, 4) 
C)  (-4, 0) 
D)  (0, -4) 
A)  (4, 0) 
B)  (0, 4) 
C)  (-4, 0) 
D)  (0, -4)

Question 5

Solve the problem.
-A flat rectangular piece of aluminum has a perimeter of 58 inches. The length is 7 inches longer than the width. Find the width.

Accepted Answer

A)  18 in. 
B)  25 in. 
C)  29 in. 
D)  11 in. 
A)  18 in. 
B)  25 in. 
C)  29 in. 
D)  11 in.

Question 6

Find the solution to the system of equations by substitution.
-y - 5x = 3 2y = 10x + 6

Accepted Answer

A)  (-1.5, -1) 
B)  (1, 1) 
C)  infinite number of solutions 
D)  no solution 
A)  (-1.5, -1) 
B)  (1, 1) 
C)  infinite number of solutions 
D)  no solution

Question 7

Evaluate the determinant.
-

Accepted Answer

A)  5 
B)  -5 
C)  -7 
D)  -1 
A)  5 
B)  -5 
C)  -7 
D)  -1

Question 8

Find the solution to the system of equations by substitution.
-y = 3x + 3 y = 8x + 2

Accepted Answer

A)    
B)    
C)  infinite number of solutions 
D)  no solution 
A)    
B)    
C)  infinite number of solutions 
D)  no solution

Question 9

Solve the system of equations using the addition method.
-6x + 5y = -4 -6x - 11y = 16

Accepted Answer

A)  (6, 2) 
B)  (-6, -2) 
C)  (-1, 2) 
D)  (1, -2) 
A)  (6, 2) 
B)  (-6, -2) 
C)  (-1, 2) 
D)  (1, -2)

Question 10

Solve the problem.
-One number is 5 less than a second number. Twice the second number is 4 less than 4 times the first. Find the two numbers.

Accepted Answer

A)  7 and 12 
B)  6 and 11 
C)  -12 and -7 
D)  8 and 13 
A)  7 and 12 
B)  6 and 11 
C)  -12 and -7 
D)  8 and 13

Question 11

Solve the system of equations using the addition method.
-5x + 3y + z = -4 3x - 2y - z = -11
3x + y + 2z = 1

Accepted Answer

A)  (3, 1, -2) 
B)  (-2, 3, 1) 
C)  (-2, 1, 3) 
D)  (1, -2, 3) 
A)  (3, 1, -2) 
B)  (-2, 3, 1) 
C)  (-2, 1, 3) 
D)  (1, -2, 3)

Question 12

Express each equation in slope-intercept form. Without graphing the equations, state whether the system of equations
has exactly one solution, no solution, or an infinite number of solutions.
-4x - 2y = -18 x = -4y

Accepted Answer

A)  infinite number of solutions 
B)  one solution 
C)  no solution 
A)  infinite number of solutions 
B)  one solution 
C)  no solution

Question 13

Find the solution by graphing the system of equations.
-A shopkeeper ordered a total of 30 pounds of cashews and peanuts. He ordered 20 fewer pounds of cashews than peanuts. We can represent this situation with the system of equations
C + p = 30
P - c = 20
Where p represents the pounds of peanuts and c represents the pounds of cashews. How many pounds of peanuts did
He order?

Accepted Answer

A)  25 lb 
B)  15 lb 
C)  5 lb 
D)  10 lb 
A)  25 lb 
B)  15 lb 
C)  5 lb 
D)  10 lb

Question 14

Find the solution to the system of equations by substitution.
-x + y = -2 x - y = 12

Accepted Answer

A)  5, - 7 
B)  2, - 7 
C)  2, 5 
D)  5, 7 
A)  5, - 7 
B)  2, - 7 
C)  2, 5 
D)  5, 7

Question 15

Express each equation in slope-intercept form. Without graphing the equations, state whether the system of equations
has exactly one solution, no solution, or an infinite number of solutions.
-9x = 6y + 3 9x = 6y - 5

Accepted Answer

A)  infinite number of solutions 
B)  no solution 
C)  one solution 
A)  infinite number of solutions 
B)  no solution 
C)  one solution

Question 16

Solve the system of equations using determinants.
-3x + 2y = 26 3x - 3y = 6

Accepted Answer

A)  (-4, 6) 
B)  (-6, -4) 
C)  (6, 4) 
D)  (4, 6) 
A)  (-4, 6) 
B)  (-6, -4) 
C)  (6, 4) 
D)  (4, 6)

Question 17

Determine the solution to the system of linear equations graphically. If the system is dependent or inconsistent, so state.
-

Accepted Answer

A)  (3, 2) 
B)  (2, 3) 
C)  dependent 
D)  inconsistent 
A)  (3, 2) 
B)  (2, 3) 
C)  dependent 
D)  inconsistent

Question 18

Solve for the given letter.
-

Accepted Answer

A)  3 
B)  -3 
C)  -6 
D)  6 
A)  3 
B)  -3 
C)  -6 
D)  6

Question 19

Express each equation in slope-intercept form. Without graphing the equations, state whether the system of equations
has exactly one solution, no solution, or an infinite number of solutions.
-y - 4x = 5 5y = 20x + 25

Accepted Answer

A)  one solution 
B)  no solution 
C)  infinite number of solutions 
A)  one solution 
B)  no solution 
C)  infinite number of solutions

Question 20

Determine the solution to the system of linear equations graphically. If the system is dependent or inconsistent, so state.
-

Accepted Answer

A)  (0, 12) 
B)  (5, -3) 
C)  dependent 
D)  inconsistent 
A)  (0, 12) 
B)  (5, -3) 
C)  dependent 
D)  inconsistent

Find the solution to the system of equations by substitution. -x = -y y + x = 6

Express each equation in slope-intercept form. Without graphing the equations, state whether the system of equations has exactly one solution, no solution, or an infinite number of solutions. -2x - 3y = 9 6x - 9y = 36

Solve the system of equations using the addition method. -7x + 7y + z = 1 x + 8y + 8z = 8 9x + y + 9z = 9

Find the solution to the system of equations by substitution. -

Solve the problem. -A flat rectangular piece of aluminum has a perimeter of 58 inches. The length is 7 inches longer than the width. Find the width.

Find the solution to the system of equations by substitution. -y - 5x = 3 2y = 10x + 6

Evaluate the determinant. -

Find the solution to the system of equations by substitution. -y = 3x + 3 y = 8x + 2

Solve the system of equations using the addition method. -6x + 5y = -4 -6x - 11y = 16

Solve the problem. -One number is 5 less than a second number. Twice the second number is 4 less than 4 times the first. Find the two numbers.

Solve the system of equations using the addition method. -5x + 3y + z = -4 3x - 2y - z = -11 3x + y + 2z = 1

Express each equation in slope-intercept form. Without graphing the equations, state whether the system of equations has exactly one solution, no solution, or an infinite number of solutions. -4x - 2y = -18 x = -4y

Find the solution to the system of equations by substitution. -x + y = -2 x - y = 12

Express each equation in slope-intercept form. Without graphing the equations, state whether the system of equations has exactly one solution, no solution, or an infinite number of solutions. -9x = 6y + 3 9x = 6y - 5

Solve the system of equations using determinants. -3x + 2y = 26 3x - 3y = 6

Determine the solution to the system of linear equations graphically. If the system is dependent or inconsistent, so state. -

Solve for the given letter. -

Express each equation in slope-intercept form. Without graphing the equations, state whether the system of equations has exactly one solution, no solution, or an infinite number of solutions. -y - 4x = 5 5y = 20x + 25

Determine the solution to the system of linear equations graphically. If the system is dependent or inconsistent, so state. -

Real Numbers

Solving Linear Equations and Inequalities

Applications of Algebra

Graphing Linear Equations

Exponents and Polynomials

Factoring

Rational Expressions and Equations

Functions and Their Graphs

Inequalities in One and Two Variables

Roots, Radicals, and Complex Numbers

Quadratic Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Appendix Review of Decimals and Percent

Filters

Exam 9: Systems of Linear Equations

Find the solution to the system of equations by substitution. -x = -y y + x = 6

Express each equation in slope-intercept form. Without graphing the equations, state whether the system of equations has exactly one solution, no solution, or an infinite number of solutions. -2x - 3y = 9 6x - 9y = 36

Solve the system of equations using the addition method. -7x + 7y + z = 1 x + 8y + 8z = 8 9x + y + 9z = 9

Find the solution to the system of equations by substitution. -

Solve the problem. -A flat rectangular piece of aluminum has a perimeter of 58 inches. The length is 7 inches longer than the width. Find the width.

Find the solution to the system of equations by substitution. -y - 5x = 3 2y = 10x + 6

Evaluate the determinant. -

Find the solution to the system of equations by substitution. -y = 3x + 3 y = 8x + 2

Solve the system of equations using the addition method. -6x + 5y = -4 -6x - 11y = 16

Solve the problem. -One number is 5 less than a second number. Twice the second number is 4 less than 4 times the first. Find the two numbers.

Solve the system of equations using the addition method. -5x + 3y + z = -4 3x - 2y - z = -11 3x + y + 2z = 1

Express each equation in slope-intercept form. Without graphing the equations, state whether the system of equations has exactly one solution, no solution, or an infinite number of solutions. -4x - 2y = -18 x = -4y

Find the solution to the system of equations by substitution. -x + y = -2 x - y = 12

Express each equation in slope-intercept form. Without graphing the equations, state whether the system of equations has exactly one solution, no solution, or an infinite number of solutions. -9x = 6y + 3 9x = 6y - 5

Solve the system of equations using determinants. -3x + 2y = 26 3x - 3y = 6

Determine the solution to the system of linear equations graphically. If the system is dependent or inconsistent, so state. -

Solve for the given letter. -

Express each equation in slope-intercept form. Without graphing the equations, state whether the system of equations has exactly one solution, no solution, or an infinite number of solutions. -y - 4x = 5 5y = 20x + 25

Determine the solution to the system of linear equations graphically. If the system is dependent or inconsistent, so state. -

Real Numbers

Solving Linear Equations and Inequalities

Applications of Algebra

Graphing Linear Equations

Exponents and Polynomials

Factoring

Rational Expressions and Equations

Functions and Their Graphs

Inequalities in One and Two Variables

Roots, Radicals, and Complex Numbers

Quadratic Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Appendix Review of Decimals and Percent

Filters