Question 1

Solve the problem.
-One number is 5 less than a second number. Twice the second number is 52 more than 5 times the first. Find the two numbers.

Accepted Answer

A)  -13 and -8 
B)  -14 and -9 
C)  9 and 14 
D)  -15 and -10 
A)  -13 and -8 
B)  -14 and -9 
C)  9 and 14 
D)  -15 and -10

Question 2

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 3

Solve the system of equations using the addition method.
-

Accepted Answer

A)  (-2, -4) 
B)  (2, -3) 
C)  (3, -4) 
D)  no solution 
A)  (-2, -4) 
B)  (2, -3) 
C)  (3, -4) 
D)  no solution

Question 4

Solve the problem.
-The Little Town Arts Center charges $24 for adults, $13 for senior citizens, and $5 for children under 12 for their live performances on Sunday afternoon. This past Sunday, the paid revenue was $12,328 for 907 tickets sold.
There were 45 more children than adults. How many children attended?

Accepted Answer

A)  264 children 
B)  299 children 
C)  334 children 
D)  344 children 
A)  264 children 
B)  299 children 
C)  334 children 
D)  344 children

Question 5

Solve the problem.
-One number is four more than a second number. Two times the first number is 4 more than four times the second number.

Accepted Answer

A)  - 6 and - 10 
B)  6 and 2 
C)  5 and 1 
D)  7 and 3 
A)  - 6 and - 10 
B)  6 and 2 
C)  5 and 1 
D)  7 and 3

Question 6

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

Accepted Answer

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

Question 7

Solve the problem.
-Ms. Adams received a bonus check for $18,000. She decided to divide the money among three different investments. With some of the money, she purchased a municipal bond paying 5.6% simple interest. She
Invested twice the amount she paid for the municipal bond in a certificate of deposit paying 4.9% simple
Interest. Ms. Adams placed the balance of the money in a money market account paying 3.3% simple interest. If
Ms) Adams' total interest for one year was $759, how much was placed in each account?

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 8

Find the solution to the system of equations by substitution.
-x - 5y = -28 x - 4y = -30

Accepted Answer

A)  (1, 9) 
B)  (-2, 9) 
C)  (2, 8) 
D)  no solution 
A)  (1, 9) 
B)  (-2, 9) 
C)  (2, 8) 
D)  no solution

Question 9

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.
-x + y = -1 x - y = 11

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 10

Solve the problem.
-The manager of a candy shop sells chocolate covered peanuts for $6 per pound and chocolate covered cashews for $14 per pound. The manager wishes to make a 120-pound cashew-peanut mixture that will sell for $12 per
Pound. How many pounds of each should be used?

Accepted Answer

A)  30 pounds of peanuts 
B)  60 pounds of peanuts 90 pounds of cashews 60 pounds of cashews 
C)  105 pounds of peanuts 
D)  90 pounds of peanuts 15 pounds of cashews 30 pounds of cashews 
A)  30 pounds of peanuts 
B)  60 pounds of peanuts 90 pounds of cashews 60 pounds of cashews 
C)  105 pounds of peanuts 
D)  90 pounds of peanuts 15 pounds of cashews 30 pounds of cashews

Question 11

Solve the system of equations using the addition method.
-6x + 4y = 48 6x + 2y = 60

Accepted Answer

A)  (12, -6) 
B)  (-6, 12) 
C)  (-12, 4) 
D)  (-12, 6) 
A)  (12, -6) 
B)  (-6, 12) 
C)  (-12, 4) 
D)  (-12, 6)

Question 12

Solve the system using determinants.
-3x - 4y + 4z = 14 -3y - 4z = -45
3x + 4z = 42

Accepted Answer

A)  (7, 6, 7) 
B)  (6, -7, -6) 
C)  (6, 7, 6) 
D)  (7, 5, 6) 
A)  (7, 6, 7) 
B)  (6, -7, -6) 
C)  (6, 7, 6) 
D)  (7, 5, 6)

Question 13

Evaluate the determinant.
-

Accepted Answer

A)  -2 
B)  2 
C)    
D)  0 
A)  -2 
B)  2 
C)    
D)  0

Question 14

Solve the system of equations using the addition method.
-2x + 24y = -110 8x + 6y = 10

Accepted Answer

A)  (-6, 5) 
B)  (8, -8) 
C)  (-5, 5) 
D)  (5, -5) 
A)  (-6, 5) 
B)  (8, -8) 
C)  (-5, 5) 
D)  (5, -5)

Question 15

Perform the indicated row transformation and write the new matrix.
-  Multiply the first row by

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 16

Solve the system of equations using determinants.
-7x + 8y = 4 2x + 3y = 2

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 17

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.
--3x - 9y = -10 5x + 15y = 0

Accepted Answer

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

Question 18

Solve the problem.
-A bank teller has both $10 and $20 bills in her cash drawer. There are 31 $20 bills, and the total amount of all the bills is $740. How many $10 bills are there?

Accepted Answer

A)  12 $10 bills 
B)  14 $10 bills 
C)  31 $10 bills 
D)  29 $10 bills 
A)  12 $10 bills 
B)  14 $10 bills 
C)  31 $10 bills 
D)  29 $10 bills

Question 19

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

Accepted Answer

A)  (2, 0) 
B)  12 , 0 
C)  dependent 
D)  inconsistent 
A)  (2, 0) 
B)  12 , 0 
C)  dependent 
D)  inconsistent

Question 20

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

Accepted Answer

A)  (6, 1) 
B)  (6, 0) 
C)  6, 56 
D)  (0, 6) 
A)  (6, 1) 
B)  (6, 0) 
C)  6, 56 
D)  (0, 6)

Solve the problem. -One number is 5 less than a second number. Twice the second number is 52 more than 5 times the first. Find the two numbers.

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. -

Solve the problem. -One number is four more than a second number. Two times the first number is 4 more than four times the second number.

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

Find the solution to the system of equations by substitution. -x - 5y = -28 x - 4y = -30

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. -x + y = -1 x - y = 11

Solve the problem. -The manager of a candy shop sells chocolate covered peanuts for $6 per pound and chocolate covered cashews for $14 per pound. The manager wishes to make a 120-pound cashew-peanut mixture that will sell for $12 per Pound. How many pounds of each should be used?

Solve the system of equations using the addition method. -6x + 4y = 48 6x + 2y = 60

Solve the system using determinants. -3x - 4y + 4z = 14 -3y - 4z = -45 3x + 4z = 42

Evaluate the determinant. -

Solve the system of equations using the addition method. -2x + 24y = -110 8x + 6y = 10

Perform the indicated row transformation and write the new matrix. - Multiply the first row by

Solve the system of equations using determinants. -7x + 8y = 4 2x + 3y = 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. --3x - 9y = -10 5x + 15y = 0

Solve the problem. -A bank teller has both $10 and $20 bills in her cash drawer. There are 31 $20 bills, and the total amount of all the bills is $740. How many $10 bills are there?

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

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

Solve the problem. -One number is 5 less than a second number. Twice the second number is 52 more than 5 times the first. Find the two numbers.

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. -

Solve the problem. -One number is four more than a second number. Two times the first number is 4 more than four times the second number.

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

Find the solution to the system of equations by substitution. -x - 5y = -28 x - 4y = -30

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. -x + y = -1 x - y = 11

Solve the problem. -The manager of a candy shop sells chocolate covered peanuts for $6 per pound and chocolate covered cashews for $14 per pound. The manager wishes to make a 120-pound cashew-peanut mixture that will sell for $12 per Pound. How many pounds of each should be used?

Solve the system of equations using the addition method. -6x + 4y = 48 6x + 2y = 60

Solve the system using determinants. -3x - 4y + 4z = 14 -3y - 4z = -45 3x + 4z = 42

Evaluate the determinant. -

Solve the system of equations using the addition method. -2x + 24y = -110 8x + 6y = 10

Perform the indicated row transformation and write the new matrix. - Multiply the first row by

Solve the system of equations using determinants. -7x + 8y = 4 2x + 3y = 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. --3x - 9y = -10 5x + 15y = 0

Solve the problem. -A bank teller has both $10 and $20 bills in her cash drawer. There are 31 $20 bills, and the total amount of all the bills is $740. How many $10 bills are there?

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

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