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 (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 (1, 2) (–1, –2) y = 2x x = 6y – 11 3x – 2y = –1 2y = x – 3 x = 4y + 5 x = 3y – 2 (-23, -7)

Solve each system by elimination (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 y ˃ –1 x ˂ 2 y ˃ – 2x + 2 y ≤ 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 = R D = Adult Tickets = $28 Children Tickets = $17 h = 1 hour 9 Roses and 4 Daisies