10 Questions

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Questions and Answers

- 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