Question 1

Solve the system of linear equations by elimination.

Accepted Answer

The answer of Solve the system of linear equations by...

Question 2

Solve the system using the substitution method.

Accepted Answer

A)  no solution 
B)  dependent 
C)    
D)    
E)    
A)  no solution 
B)  dependent 
C)    
D)    
E)    D

Question 3

Solve the system by solving one of the equations for x or y and then use the substitution method.

Accepted Answer

A)    
B)  dependent 
C)    
D)  no solution 
E)    
A)    
B)  dependent 
C)    
D)  no solution 
E)    C

Question 4

Solve the system by eliminating the y variable.

Accepted Answer

The answer of Solve the system by eliminating the y...

Question 5

Solve the system of linear equations by graphing.

Accepted Answer

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

Question 6

Solve the system using the substitution method.

Accepted Answer

The answer of Solve the system using the substitution method....

Question 7

Solve the system using the substitution method.

Accepted Answer

A)    
B)    
C)    
D)  dependent 
E)  no solution 
A)    
B)    
C)    
D)  dependent 
E)  no solution

Question 8

Two positive numbers have a difference of   The larger number is one more than twice the smaller. Find the two numbers.

Accepted Answer

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

Question 9

Kelly sells 76 shares of stock she owns for a total of $495. If the stock was in two different companies, one selling at $5.50 a share and the other at $7.25 a share, how many of each did she sell?

Accepted Answer

A)  29 at $5.50 and 47 at $7.25 
B)  36 at $5.50 and 40 at $7.25 
C)  28 at $5.50 and 48 at $7.25 
D)  35 at $5.50 and 41 at $7.25 
E)  32 at $5.50 and 44 at $7.25 
A)  29 at $5.50 and 47 at $7.25 
B)  36 at $5.50 and 40 at $7.25 
C)  28 at $5.50 and 48 at $7.25 
D)  35 at $5.50 and 41 at $7.25 
E)  32 at $5.50 and 44 at $7.25

Question 10

Ms. Hagan invested twice as much money in an account that pays   interest as she did in an account that pays   in interest. Her total investment pays her   a year in interest. How much did she invest at each rate?

Accepted Answer

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

Question 11

For a Saturday matinee, adult tickets cost $6.50 and kids under 12 pay only $3.00. If 60 tickets are sold for a total of $320. How many of the tickets were adult tickets and how many were sold to kids under 12?

Accepted Answer

A)  40 adults and 20 kids 
B)  50 adults and 10 kids 
C)  30 adults and 30 kids 
D)  45 adults and 15 kids 
E)  35 adults and 25 kids 
A)  40 adults and 20 kids 
B)  50 adults and 10 kids 
C)  30 adults and 30 kids 
D)  45 adults and 15 kids 
E)  35 adults and 25 kids

Question 12

Solve the system by eliminating the y variable.

Accepted Answer

A)  The lines coincide. 
B)  The lines are parallel.   
C)    
D)    
E)    
A)  The lines coincide. 
B)  The lines are parallel.   
C)    
D)    
E)

Question 13

The difference of two numbers is   Their sum is   Find the two numbers.

Accepted Answer

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

Question 14

Solve the system of linear equations by the elimination method.

Accepted Answer

A)    
B)  The lines coincide. 
C)    
D)  The lines are parallel.   
E)    
A)    
B)  The lines coincide. 
C)    
D)  The lines are parallel.   
E)

Question 15

Solve the system by substitution. Substitute the expression in the second equation into the first equation and solve.   If the lines coincide, answer dependent . If the lines are parallel, answer no solution .

Accepted Answer

A)    
B)    
C)    
D)  no solution 
E)  dependent 
A)    
B)    
C)    
D)  no solution 
E)  dependent

Question 16

Solve the system using the substitution method.

Accepted Answer

A)    
B)  no solution 
C)    
D)  dependent 
E)    
A)    
B)  no solution 
C)    
D)  dependent 
E)

Question 17

Solve the system of linear equations by graphing.

Accepted Answer

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

Question 18

Solve the system by substitution. Substitute the expression in the second equation into the first equation and solve.

Accepted Answer

The answer of Solve the system by substitution. Substitute the...

Question 19

A mixture of 10% disinfectant solution is to be made from 14% and 7% disinfectant solutions. How much of each solution should be used if 70 gallons of 10% solution are needed?

Accepted Answer

A)  40 gallons at 14% solution, 30 gallons at 7% solution 
B)  38 gallons at 14% solution, 32 gallons at 7% solution 
C)  25 gallons at 14% solution, 45 gallons at 7% solution 
D)  32 gallons at 14% solution, 38 gallons at 7% solution 
E)  30 gallons at 14% solution, 40 gallons at 7% solution 
A)  40 gallons at 14% solution, 30 gallons at 7% solution 
B)  38 gallons at 14% solution, 32 gallons at 7% solution 
C)  25 gallons at 14% solution, 45 gallons at 7% solution 
D)  32 gallons at 14% solution, 38 gallons at 7% solution 
E)  30 gallons at 14% solution, 40 gallons at 7% solution

Question 20

If a   -inch rope is to be cut into two pieces so that one piece is   inches longer than twice the other, how long is each piece?

Accepted Answer

A)    inches,   inches 
B)    inches,   inches 
C)    inches,   inches 
D)    inches,   inches 
E)    inches,   inches 
A)    inches,   inches 
B)    inches,   inches 
C)    inches,   inches 
D)    inches,   inches 
E)    inches,   inches

Solve the system of linear equations by elimination.

Solve the system using the substitution method.

Solve the system by solving one of the equations for x or y and then use the substitution method.

Solve the system by eliminating the y variable.

Solve the system of linear equations by graphing.

Solve the system using the substitution method.

Solve the system using the substitution method.

Two positive numbers have a difference of The larger number is one more than twice the smaller. Find the two numbers.

Kelly sells 76 shares of stock she owns for a total of $495. If the stock was in two different companies, one selling at $5.50 a share and the other at $7.25 a share, how many of each did she sell?

Ms. Hagan invested twice as much money in an account that pays interest as she did in an account that pays in interest. Her total investment pays her a year in interest. How much did she invest at each rate?

For a Saturday matinee, adult tickets cost $6.50 and kids under 12 pay only $3.00. If 60 tickets are sold for a total of $320. How many of the tickets were adult tickets and how many were sold to kids under 12?

Solve the system by eliminating the y variable.

The difference of two numbers is Their sum is Find the two numbers.

Solve the system of linear equations by the elimination method.

Solve the system by substitution. Substitute the expression in the second equation into the first equation and solve. If the lines coincide, answer dependent . If the lines are parallel, answer no solution .

Solve the system using the substitution method.

Solve the system of linear equations by graphing.

Solve the system by substitution. Substitute the expression in the second equation into the first equation and solve.

A mixture of 10% disinfectant solution is to be made from 14% and 7% disinfectant solutions. How much of each solution should be used if 70 gallons of 10% solution are needed?

If a -inch rope is to be cut into two pieces so that one piece is inches longer than twice the other, how long is each piece?

The Basics

Linear Equations and Inequalities

Linear Equations and Inequalities in Two Variables

Exponents and Polynomials

Factoring

Rational Expressions

Roots and Radicals

Quadratic Equations

Filters

Exam 4: Systems of Linear Equations

Solve the system of linear equations by elimination.

Solve the system using the substitution method.

Solve the system by solving one of the equations for x or y and then use the substitution method.

Solve the system by eliminating the y variable.

Solve the system of linear equations by graphing.

Solve the system using the substitution method.

Solve the system using the substitution method.

Two positive numbers have a difference of The larger number is one more than twice the smaller. Find the two numbers.

Kelly sells 76 shares of stock she owns for a total of $495. If the stock was in two different companies, one selling at $5.50 a share and the other at $7.25 a share, how many of each did she sell?

Ms. Hagan invested twice as much money in an account that pays interest as she did in an account that pays in interest. Her total investment pays her a year in interest. How much did she invest at each rate?

For a Saturday matinee, adult tickets cost $6.50 and kids under 12 pay only $3.00. If 60 tickets are sold for a total of $320. How many of the tickets were adult tickets and how many were sold to kids under 12?

Solve the system by eliminating the y variable.

The difference of two numbers is Their sum is Find the two numbers.

Solve the system of linear equations by the elimination method.

Solve the system by substitution. Substitute the expression in the second equation into the first equation and solve. If the lines coincide, answer dependent . If the lines are parallel, answer no solution .

Solve the system using the substitution method.

Solve the system of linear equations by graphing.

Solve the system by substitution. Substitute the expression in the second equation into the first equation and solve.

A mixture of 10% disinfectant solution is to be made from 14% and 7% disinfectant solutions. How much of each solution should be used if 70 gallons of 10% solution are needed?

If a -inch rope is to be cut into two pieces so that one piece is inches longer than twice the other, how long is each piece?

The Basics

Linear Equations and Inequalities

Linear Equations and Inequalities in Two Variables

Exponents and Polynomials

Factoring

Rational Expressions

Roots and Radicals

Quadratic Equations

Filters