Unit 4 Review

Solving by Elimination

100

-2x - y = -6

2x + 4y = -12

(6,-6)

200

x - 2y = -13

4x + 2y = 18

(1,7)

300

4x + 2y = 10

x - y = 13

(6,-7)

400

-4x + 9y = 9

x - 3y = -6

(9,5)

500

3x + y = 9

2x + 8y = -16

(4,-3)

Solving by Substitution

100

y = -5

5x + 4y = -20

(0,-5)

200

6x - 12y = -24

x = -6y + 4

(-2, 1)

300

x = y - 4

-2x + 3y = 6

(-6,-2)

400

y = -3x + 4

y = 3x - 2 

(1,1)

500

x = -3y

x = 6y - 9

(1,-3)

Choose Your Method

100

8x + y = -16

-3x + y = -5

(-1,-8)

200

y = 3x + 13 

y = -2x - 22 

(-7,-8)

300

y = -8x + 19

-x + 6y = 16

(2,3)

400

-x - 7y = 14

-4x - 14y = 28

(0,-2)

500

5x + 4y = -30

3x - 9y = -18

(-6,0)

Word Problems

100

Eva and Nicole went shopping at Aviator Nation. Eva bought two shirts and five hats for $154. Nicole bought 3 shirts and 4 hats for $168. What was the price of each shirt?

$32

200

A farm recently took in animals to shelter. Some were pigs, some were ducks. In total they took in 10 animals. Altogether there were 36 legs. How many pigs were there?

8 pigs

300

High School A and High School B planned separate trips to Newport Beach for the day. High School A filled 1 van and 6 buses with 372 students. High School B filled 4 vans and 12 buses with 780 students. How many students can fit on each van and bus?

Van: 18 students
Bus: 59 students

400

Mr. Spurgin is performing in the school musical. He is selling tickets to his first show. He sold 3 senior citizen tickets and 9 child tickets for $75. The second day he sold 8 senior citizen tickets and 5 child tickets for $67. What is the price of one senior citizen ticket and one child ticket? 

Senior citizen ticket: $4
Child ticket: $7

500

Palmer and Georgia are selling oranges for the Algebra class. Customers can buy small or large boxes. Palmer sold 3 small boxes and 14 large boxes for $203. Georgia sold 11 small boxes and 11 large boxes for $220. Find the cost of each small and large boxes of oranges. 

Small boxes: $7
Large boxes: $13