Unit 7 Test Review Show All work on another sheet of paper Name: _______

A.) Solve by Graphing:

1.) Y= 6x + 4 Solution: Y= 4x - 2

3.) Y = 3x + 7 Solution : 2 Y = 6x + 14

2.) Y = -x + 16 Solution: Y= -7x – 8

4.) Y= 17x – 6 Solution: Y= 12x + 44

B.) Solve by Substitution

1.) 3x + 4y = 9 Solution: Y = x- 3

3.) 8x – 14y = 5 Solution : x= 3y

2.) Y = 2x – 1 Solution: 4x + 6y = 10

4.) X = 7y – 10 Solution: 3x – 2y = 8

C.) Solve by Elimination

1.) 3x – 2y = 12 Solution: - 3x + 8y = -6

3.) 1x – 2y = -8 Solution : 5x – 10y = -40

2.) 2x – 5y = -7 Solution: 4x + 2y = 22

4.) 2x + 4y = -12 Solution: 3x + 5y = -16

D.) Pick a method:

1.) x + 2y = 5 Solution: 2x + 4y = 1

3.) 3x – 2y = 4 Solution: 12x – 8y = 6

2.) x – 2y = 8 Solution: -x + 4y = -20

4.) 2x + y = 13 Solution: Y = x + 5

F.) Solve the following word problems:

1.) At the store, Craig bought 2 staplers and 4 pads of paper for $24. On another day, he bought 3 staplers and 3 pads of paper for $21. How much does each a stapler and a pad of paper cost?

2.) The perimeter of a rectangle is 14cm. The length of the rectangle is 4 cm more than twice the width. Find the dimensions of the rectangle.

3.) Kara sells glasses of Kool-Aid for $1 each, and she sells lemonade for $3 each. One day she sold 10 more lemonades than Kool-Aid’s, and she made a total of $190. How many glasses of Kool-Aid and lemonade did she sell?

4.) Steve weighs 10 pounds more than twice what Alan weighs. Together, they weigh 220 pounds. How much does each, Steve and Alan, weigh?

9.)Suppose you have a job in an ice cream shop that pays $6 per hour. You also have a babysitting job that pays $3 per hour. You want to earn at least $30 per week, but work like to work no more than 12 hours per week.

a). Write a system of linear inequalities that describes this situation.

b). Graph a system of linear inequalities that describes this situation.

G.) Systems of Inequalities

1.) y > 2 x < 2

3.) y > 2x X + 2y ≤ 4

2.) 2x – 2y < 6 X – y < 9

4.) x + y ≤ 6 - 2x + 3y > 12

Match the following graphs to the appropriate system of inequalities:

5.) 6.) 7.)