Question 1

Find the solution to the system of equations by substitution.
-  x - y = -4

Accepted Answer

A)  (0, 6) 
B)  (-1, 6) 
C)  (1, 5) 
D)  no solution 
A)  (0, 6) 
B)  (-1, 6) 
C)  (1, 5) 
D)  no solution

Question 2

Solve the system using matrices.
-x + y + z = -2 x - y + 3z = -14
5x + 5y + 5z = 6

Accepted Answer

A)  (-5, 1, 2) 
B)  (-5, 2, 1) 
C)  dependent system 
D)  inconsistent system 
A)  (-5, 1, 2) 
B)  (-5, 2, 1) 
C)  dependent system 
D)  inconsistent system

Question 3

Solve the system of equations using determinants.
-4x + y = 12 16x + 4y = 48

Accepted Answer

A)  (0, 12) 
B)  (5, -8) 
C)  infinite number of solutions 
D)  no solution 
A)  (0, 12) 
B)  (5, -8) 
C)  infinite number of solutions 
D)  no solution

Question 4

Solve the problem.
-On a buying trip in Los Angeles, Rosaria Perez ordered 120 pieces of jewelry: a number of bracelets at $8 each and a number of necklaces at $10 each. She wrote a check for $1160 to pay for the order. How many bracelets
And how many necklaces did Rosaria purchase?

Accepted Answer

A)  30 bracelets and 90 necklaces 
B)  25 bracelets and 95 necklaces 
C)  20 bracelets and 100 necklaces 
D)  15 bracelets and 105 necklaces 
A)  30 bracelets and 90 necklaces 
B)  25 bracelets and 95 necklaces 
C)  20 bracelets and 100 necklaces 
D)  15 bracelets and 105 necklaces

Question 5

Solve the problem.
-Jarod is having a problem with rabbits getting into his vegetable garden, so he decides to fence it in. The length of the garden is 7 feet more than 3 times the width. He needs 46 feet of fencing to do the job. Find the length and
Width of the garden.

Accepted Answer

A)  length: 22 ft; width: 5 ft 
B)  length: 16 ft; width: 3 ft 
C)    
D)  length: 19 ft; width: 4 ft 
A)  length: 22 ft; width: 5 ft 
B)  length: 16 ft; width: 3 ft 
C)    
D)  length: 19 ft; width: 4 ft

Question 6

Determine if the following ordered pair satisfies the system of linear equations.
-

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 7

Solve the problem.
-Two planes are parallel to each other and the third plane intersects each of the other two planes as illustrated below. Is the system consistent, inconsistent, or dependent?

Accepted Answer

A)  inconsistent 
B)  consistent, dependent 
C)  consistent, not dependent 
A)  inconsistent 
B)  consistent, dependent 
C)  consistent, not dependent

Question 8

Identify the system of linear equations as consistent, inconsistent, or dependent. State whether the system has exactly one
solution, no solution, or an infinite number of solutions.
-

Accepted Answer

A)  consistent-one solution 
B)  dependent-infinite number of solutions 
C)  inconsistent-no solution 
A)  consistent-one solution 
B)  dependent-infinite number of solutions 
C)  inconsistent-no solution

Question 9

Solve the system using determinants.
-x - 7y - 5z = -18 x + 8y + 3z = 56
5x - 4y - 2z = 4

Accepted Answer

A)  (5, 0, 4) 
B)  (2, 4, 2) 
C)  (4, 2, 4) 
D)  (4, -2, -4) 
A)  (5, 0, 4) 
B)  (2, 4, 2) 
C)  (4, 2, 4) 
D)  (4, -2, -4)

Question 10

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

Accepted Answer

A)  (2, -3, 7) 
B)  (-2, -6, 3) 
C)  (-2, -4, 2) 
D)  (2, -27, 7) 
A)  (2, -3, 7) 
B)  (-2, -6, 3) 
C)  (-2, -4, 2) 
D)  (2, -27, 7)

Question 11

Find the solution to the system of equations by substitution.
-x + y = 0 2x + 3y = -7

Accepted Answer

A)  (-7, 7) 
B)  (6, -6) 
C)  (-6, 6) 
D)  (7, -7) 
A)  (-7, 7) 
B)  (6, -6) 
C)  (-6, 6) 
D)  (7, -7)

Question 12

Identify the system of linear equations as consistent, inconsistent, or dependent. State whether the system has exactly one
solution, no solution, or an infinite number of solutions.
-

Accepted Answer

A)  inconsistent-no solution 
B)  dependent-infinite number of solutions 
C)  consistent-one solution 
A)  inconsistent-no solution 
B)  dependent-infinite number of solutions 
C)  consistent-one solution

Question 13

Solve the system of equations using the addition method.
-x - y + 5z = 1 3x + z = 0
X + 4y + z = -4

Accepted Answer

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

Question 14

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

Accepted Answer

A)  (1, -8) 
B)  (-1, 8) 
C)  (-1, -8) 
D)  (1, 16) 
A)  (1, -8) 
B)  (-1, 8) 
C)  (-1, -8) 
D)  (1, 16)

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.
-2y = x + 24 2x + 4y = 0

Accepted Answer

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

Question 16

Solve the system of equations using the addition method.
-x + 8y = -53 -6x + 7y = -12

Accepted Answer

A)  (5, -5) 
B)  (-5, -6) 
C)  (-6, -5) 
D)  no solution 
A)  (5, -5) 
B)  (-5, -6) 
C)  (-6, -5) 
D)  no solution

Question 17

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

Accepted Answer

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

Question 18

Solve the system of equations using determinants.
-0.2x + 0.9y = -2.9 0.6x - 0.5y = 0.9

Accepted Answer

A)  (-1, -3) 
B)  (-1, +3) 
C)  (-1.9, -2.8) 
D)  (-1.9, -3) 
A)  (-1, -3) 
B)  (-1, +3) 
C)  (-1.9, -2.8) 
D)  (-1.9, -3)

Question 19

Solve the system using determinants.
-5x + 2y - z = 13 x - 2y + 3z = 17
4x + y + z = 20

Accepted Answer

A)  (3, 2, 6) 
B)  (3, -2, -6) 
C)  (4, 0, 6) 
D)  (2, 6, 2) 
A)  (3, 2, 6) 
B)  (3, -2, -6) 
C)  (4, 0, 6) 
D)  (2, 6, 2)

Question 20

Determine if the following ordered pair satisfies the system of linear equations.
-

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Find the solution to the system of equations by substitution. - x - y = -4

Solve the system using matrices. -x + y + z = -2 x - y + 3z = -14 5x + 5y + 5z = 6

Solve the system of equations using determinants. -4x + y = 12 16x + 4y = 48

Solve the problem. -On a buying trip in Los Angeles, Rosaria Perez ordered 120 pieces of jewelry: a number of bracelets at $8 each and a number of necklaces at $10 each. She wrote a check for $1160 to pay for the order. How many bracelets And how many necklaces did Rosaria purchase?

Solve the problem. -Jarod is having a problem with rabbits getting into his vegetable garden, so he decides to fence it in. The length of the garden is 7 feet more than 3 times the width. He needs 46 feet of fencing to do the job. Find the length and Width of the garden.

Determine if the following ordered pair satisfies the system of linear equations. -

Solve the problem. -Two planes are parallel to each other and the third plane intersects each of the other two planes as illustrated below. Is the system consistent, inconsistent, or dependent?

Identify the system of linear equations as consistent, inconsistent, or dependent. State whether the system has exactly one solution, no solution, or an infinite number of solutions. -

Solve the system using determinants. -x - 7y - 5z = -18 x + 8y + 3z = 56 5x - 4y - 2z = 4

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

Find the solution to the system of equations by substitution. -x + y = 0 2x + 3y = -7

Identify the system of linear equations as consistent, inconsistent, or dependent. State whether the system has exactly one solution, no solution, or an infinite number of solutions. -

Solve the system of equations using the addition method. -x - y + 5z = 1 3x + z = 0 X + 4y + z = -4

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

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. -2y = x + 24 2x + 4y = 0

Solve the system of equations using the addition method. -x + 8y = -53 -6x + 7y = -12

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

Solve the system of equations using determinants. -0.2x + 0.9y = -2.9 0.6x - 0.5y = 0.9

Solve the system using determinants. -5x + 2y - z = 13 x - 2y + 3z = 17 4x + y + z = 20

Determine if the following ordered pair satisfies the system of linear equations. -

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 = -4

Solve the system using matrices. -x + y + z = -2 x - y + 3z = -14 5x + 5y + 5z = 6

Solve the system of equations using determinants. -4x + y = 12 16x + 4y = 48

Solve the problem. -On a buying trip in Los Angeles, Rosaria Perez ordered 120 pieces of jewelry: a number of bracelets at $8 each and a number of necklaces at $10 each. She wrote a check for $1160 to pay for the order. How many bracelets And how many necklaces did Rosaria purchase?

Solve the problem. -Jarod is having a problem with rabbits getting into his vegetable garden, so he decides to fence it in. The length of the garden is 7 feet more than 3 times the width. He needs 46 feet of fencing to do the job. Find the length and Width of the garden.

Determine if the following ordered pair satisfies the system of linear equations. -

Solve the problem. -Two planes are parallel to each other and the third plane intersects each of the other two planes as illustrated below. Is the system consistent, inconsistent, or dependent?

Identify the system of linear equations as consistent, inconsistent, or dependent. State whether the system has exactly one solution, no solution, or an infinite number of solutions. -

Solve the system using determinants. -x - 7y - 5z = -18 x + 8y + 3z = 56 5x - 4y - 2z = 4

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

Find the solution to the system of equations by substitution. -x + y = 0 2x + 3y = -7

Identify the system of linear equations as consistent, inconsistent, or dependent. State whether the system has exactly one solution, no solution, or an infinite number of solutions. -

Solve the system of equations using the addition method. -x - y + 5z = 1 3x + z = 0 X + 4y + z = -4

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

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. -2y = x + 24 2x + 4y = 0

Solve the system of equations using the addition method. -x + 8y = -53 -6x + 7y = -12

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

Solve the system of equations using determinants. -0.2x + 0.9y = -2.9 0.6x - 0.5y = 0.9

Solve the system using determinants. -5x + 2y - z = 13 x - 2y + 3z = 17 4x + y + z = 20

Determine if the following ordered pair satisfies the system of linear equations. -

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