Question 1

Use the system of inequalities. 
-Use an algebraic method to find the vertices.

Accepted Answer

A)   
B)   
C)   
D)   
E)   none of these C

Question 2

Graph the system of linear inequalities. Label the solution region.
-

Accepted Answer

A)   
B)   
C)   
D)   
E)   none of these B

Question 3

Solve the system of equations By graphing.

Accepted Answer

A)   {0 , 2}
B)   {0 , -2}
C)   {-2 , 0}
D)   infinitely many solutions
E)   no solution B

Question 4

Use the system of inequalities. 
-Graph the system.

Accepted Answer

A)   
B)   
C)   
D)   
E)   none of these

Question 5

Use an algebraic method to determine which of the ordered triples is a solution to the system.

Accepted Answer

A)   
B)   
C)   
D)   
E)   none of these

Question 6

Solve the system using any method.
-

Accepted Answer

A)   {2 , -4}
B)   {-2 , 10}
C)   {  }
D)   infinitely many solutions
E)   no solution

Question 7

Morgan is keeping track of her calcium intake from three sources for three days. The first day she had a glass of milk, a serving of cottage cheesem and 1 calcium supplement pill totaling 1090 mg of calcium. The second day she had 2 glasses of milk, 1 serving of cottage cheese, and 1 calcium supplement totaling 1450 mg of calcium. The third day she had 1 glass of milk, 2 servings of cottage cheese, and 1 calcium supplement totaling 1310 mg of calcium. Find the amount of calcium in each of the three sources.

Accepted Answer

A)   
B)   
C)   
D)   
E)   none of these

Question 8

The graph represents the system of equations  
. Solve by graphing.

Accepted Answer

A)   {-3 , 0}
B)   {0 , -3}
C)   {1 , -1}
D)   {-3 , 0}.
E)   no solution

Question 9

Solve the system of equations by substitution.
-

Accepted Answer

A)   {-3 ,5}
B)   {3 , -5}
C)   {0 , 4}
D)   infinitely many solutions
E)   no solution

Question 10

Find Chloe's revenue at the break-even point.

Accepted Answer

A)   $175
B)   $70
C)   $24.80
D)   $49.20
E)   none of these

Question 11

Chloe decides to open a lemonade stand to earn money for the summer. She is able to build a lemonade stand for $49. To make each cup of lemonade, including the cost of the cup, costs $0.12. She decides to sell each cup for $0.40. How many cups of lemonade must Chloe sell to break even?

Accepted Answer

A)   123
B)   62
C)   175
D)   70
E)   none of these

Question 12

Use an algebraic method to find the vertices of the system of linear inequalities.

Accepted Answer

A)   
B)   
C)   
D)   
E)   none of these

Question 13

Use row operations to change the first entry in the first row to 1. Rewrite the matrix.

Accepted Answer

A)   
B)   
C)   
D)   
E)   none of these

Question 14

Use elimination to solve the system of equations.
-

Accepted Answer

A)   {1 ,3}
B)   {-1 ,3}
C)   {8 ,3}
D)   infinitely many solutions
E)   no solution

Question 15

In the Storms baseball stadium, there are three levels of seats available. Box seats are sold for $10 each, reserved seats are sold for $7 each, and bleacher seats are sold for $4 each. The stadium capacity is 4500. Total revenue is $27,900 when all seats are sold. If half the box seats, half the reserved seats, and all of the bleacher seats are sold, the revenue is $18,150. Find how many of each type of seat are there.

Accepted Answer

A)   
B)   
C)   
D)   
E)   none of these

Question 16

Use elimination to solve the system of equations.
-

Accepted Answer

A)   {272 , 84}
B)   {544 , -840}
C)   {84 , 272}
D)   infinitely many solutions
E)   no solution

Question 17

One cell phone plan charges $35.99 per month, including 400 minutes of out-of-network calls each month. Each additional minute outside the network costs $0.25. Another plan charges $59.99 per month, including 1000 minutes of out-of-network calls per month. This plan charges $0.40 for each additional minute out of the network. Find the number of total minutes outside the network a customer must use for the plans to cost the same in a month.

Accepted Answer

A)   1840
B)   1400
C)   1000
D)   400
E)   none of these

Question 18

Graph the system of linear inequalities. Label the solution region.
-

Accepted Answer

A)   
B)   
C)   
D)   
E)   none of these

Question 19

Nancy just inherited $83,000. She decides to diversify her investment by putting the money into three different accounts: tax-free bonds which pay 5% annual interest, a certificate of deposit which pays 7% annual interest, and a mutual stock fund which has an average annual rate of return of 12%. The amount she invests in the certificate of deposit is double the amount she invests in bonds. Her goal for total return per year from these three investments is $7720. How much should Nancy put into each account?

Accepted Answer

A)   
B)   
C)   
D)   
E)   none of these

Question 20

The graph represents the system of equations  
. Solve by graphing.

Accepted Answer

A)   {-1 , -2}
B)   {2 , -1}
C)   {-2, -1}
D)   {-1 , 2}
E)   no solution

Exam 4: Systems of Linear Equations

Use the system of inequalities. -Use an algebraic method to find the vertices.

Graph the system of linear inequalities. Label the solution region. -

Solve the system of equations By graphing.

Use the system of inequalities. -Graph the system.

Use an algebraic method to determine which of the ordered triples is a solution to the system.

Solve the system using any method. -

The graph represents the system of equations . Solve by graphing.

Solve the system of equations by substitution. -

Find Chloe's revenue at the break-even point.

Chloe decides to open a lemonade stand to earn money for the summer. She is able to build a lemonade stand for $49. To make each cup of lemonade, including the cost of the cup, costs $0.12. She decides to sell each cup for $0.40. How many cups of lemonade must Chloe sell to break even?

Use an algebraic method to find the vertices of the system of linear inequalities.

Use row operations to change the first entry in the first row to 1. Rewrite the matrix.

Use elimination to solve the system of equations. -

Use elimination to solve the system of equations. -

Graph the system of linear inequalities. Label the solution region. -

The graph represents the system of equations . Solve by graphing.