# Systems Of Equations

10 Questions

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• 1.
Solve the linear system: 1. . Ace Rent a Car charges a flat fee of \$15 and \$0.24 a mile for their cars. Acme Rent a Car charges a flat fee of \$23 and \$0.12 a mile for their cars. Use the following model to find out after how many miles Ace Rent a Car becomes more expensive than Acme Rent a Car.
• A.

After 77 miles

• B.

After 67 miles

• C.

After 78 miles

• 2.
Tickets to a local movie were sold at \$4.00 for adults and \$2.50 for students. If 420 tickets were sold for a total of \$1155.00, how many student tickets were sold?
• A.

350

• B.

70

• C.

85

• 3.
Tickets to a local movie were sold at \$5.00 for adults and \$3.50 for students. If 290 tickets were sold for a total of \$1225.00, how many adult tickets were sold?
• A.

155

• B.

150

• C.

140

• 4.
Mr. Simon invests a total of \$11,375 in two savings accounts. One account yields 9% simple interest and the other 9.5% simple interest. He would like to find the amount placed in each account if a total of \$1064.44 in interest is received after one year. Which system of linear equations below expresses this problem?
• A.

X+y=11375 .09x+.095y=1064.44

• B.

X+y=1064.44 .09x+.095y=11375

• C.

X+y=1098.44 .09y+.09=1064.44

• 5.
Mrs. Garcia invests a total of \$12,647 in two savings accounts. One account yields 7.5% simple interest and the other 8.5% simple interest. She would like to find the amount placed in each account if a total of \$988.88 in interest is received after one year. Which system of linear equations below expresses this problem?
• A.

X+y=988.88 .085x+.075y=12647

• B.

X+y=12647 .075x+.085y=988.88

• C.

X+y=988.88 .75+.85y=12647

• 6.
Mr. Frankel bought 5 tickets to a puppet show and spent \$27. He bought a combination of child tickets for \$3 each and adult tickets for \$7 each. Which system of equations below will determine the number of adult tickets, a, and the number of child tickets, c, he bought?
• A.

7a+3c=27 a+c=5

• B.

3a+7c=27 a+c=5

• C.

3a+5c=27 a+c=7

• 7.
Mr. Frankel bought 6 tickets to a puppet show and spent \$26. He bought a combination of child tickets for \$3 each and adult tickets for \$5 each. Which system of equations below will determine the number of adult tickets, a, and the number of child tickets, c, he bought?
• A.

63c+2a=6 a+b=5

• B.

3a+5c=26 a+c=6

• C.

5a+3c=26 a+c=6

• 8.
Solve the linear system: 4x+4y=-1 y=-x
• A.

No solution

• B.

(-5,5)

• C.

(1,4)

• 9.
Solve the linear system 3x+3y=5 y=-x
• A.

(3,5)

• B.

(-5,3)

• C.

No solution

• 10.
Solve the linear system 4x+y=-11 x-y=1
• A.

(19,-30)

• B.

(-2,-3)

• C.

No solution