Chapter 7 Review

Tell whether the ordered pair is a solution of the given system.

1. (–3, 1);

2. (2, –4);

yes

no

Determine the solution to the system of equations whose graph is shown:

(2, 1)

3.

Solve the system by graphing.

4.

5.

6.

(2, 5)2x + 1 = y y = 4x – 3

x + 2y = 5 x = 5

x – 2y = 4

2y = x + 2

(5, 0)

No solution

Solve each system by substitution.

7.

8.

9.

(1, 2)

(–1, –2)y = 2x

x = 6y – 11

3x – 2y = –1

2y = x – 3

x = 4y + 5x = 3y – 2

(-23, -7)

Solve each system by elimination.

10.

11.

12.

(2, –3)

(11, 3)

(5, -2)

2x + y = 25

-2x + 3y = –13

2x + 4y = –8–3x + 4y = –18

x + y = 3

2x – 3y = 16

Solve the system by graphing.

13.

14.

15.

y ˃ –1 x ˂ 2

y ˃ –2x + 2y ≤ x + 1

y ≥ x – 4

y ≤ x

16. The Miller and Benson families went to a theme park. The Millers bought 6 adult and 15 children tickets for $423. The Bensons bought 5 adult and 9 children tickets for $293. Find the cost of each ticket.

17. City Park Golf Course charges $25 to rent golf clubs plus $55 per hour for golf cart rental. Sea Vista Golf Course charges $35 to rent clubs plus $45 per hour to rent a cart. For what number of hours is the cost of renting clubs and a cart the same for each course?

18. Sally spent $14.85 to buy 13 flowers. She bought roses, which cost $1.25 each, and daisies, which cost $0.90 each. How many of each flower did Sally buy?

Write a system of equations for each word problem.

Then solve the system.

6a + 15c = 423

5a + 9c = 293

C =55h + 25

C = 45h + 35

R + D = 13

1.25R + 0.90D = 14.85

Adult Tickets = $28

Children Tickets = $17

h = 1 hour

9 Roses and 4 Daisies