Elimination/Word Problems (EXTRA CREDIT OPPORTUNITY)

Solve each system by elimination.

-x + 4y = 15

-x - 4y = -9

• (-3, -3)

• (-2, -3)

• (-3, 3)

• (-2, 3)

Solve each system by elimination.

2x + 3y = -1

-2x - 3y = 7

• (6, 2)

• No solution

• (6, -2)

• (-2, -6)

Solve each system by elimination.

-20x + 8y = -28

-10x - 3y = -7

• (4, 1)

• (-4, 1)

• (1, 1)

• (1, -1)

Solve each system by elimination.

10x + 12y = -22

x - 4y = 29

• (6, 5)

• (5, 6)

• (5, -6)

• (-3, -6)

Solve each system by elimination. -7x + 4y = 3 -3x + 6y = 27

• (3, 5)

• (3, -6)

• (3, 6)

• Infinite number of solutions

Solve each system by elimination.

6x - 7y = 12

9x + 8y = 18

• (0, -2)

• (0, 1)

• (-2, 0)

• (2, 0)

The senior classes at High School A and High School B planned separate trips to the indoor climbing gym. The senior class at High School A rented and filled 5 vans and 5 buses with 355 students. High School B rented and filled 10 vans and 5 buses with 420 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.

• Van: 7, Bus: 66

• Van: 58, Bus: 13

• Van: 13, Bus: 58

• Van: 10, Bus: 92

Jill and Krystal are selling fruit for a school fundraiser. Customers can buy small boxes of

tangerines and large boxes of tangerines. Jill sold 5 small boxes of tangerines and 4 large boxes

of tangerines for a total of $94. Krystal sold 6 small boxes of tangerines and 4 large boxes of

tangerines for a total of $100. What is the cost each of one small box of tangerines and one large

box of tangerines?

• small box of tangerines: $6, large box of tangerines $16

• small box of tangerines: $16, large box of tangerines $6

• small box of tangerines: $7, large box of tangerines $11

• small box of tangerines: $8, large box of tangerines $22

Eugene's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 8 adult tickets and 12 student tickets for a total of $128. The school took $34 on the second day by selling 1 adult ticket and 6 student tickets. What is the price each of one adult ticket and one student ticket?

• adult ticket: $14, student ticket: $5

• adult ticket: $16, student ticket: $3

• adult ticket: $10, student ticket: $4

• adult ticket: $4, student ticket: $10

Jose and DeShawn each improved their yards by planting daylilies and ivy. They bought their supplies from the same store. Jose spent $130 on 8 daylilies and 6 pots of ivy. DeShawn spent $113 on 10 daylilies and 3 pots of ivy. Find the cost of one daylily and the cost of one pot of ivy.

• daylily: $5, pot of ivy: $14

• daylily: $8, pot of ivy: $11

• daylily: $13, pot of ivy: $4

• daylily: 8daylily: $10, pot of ivy: $8