Summer Institute Review

Choose the correct order of steps that you would use to solve the following equation: $\frac{2x}{8}=12$  

• Divide by 2, multiply by 8

• Add 8, subtract 2

• Multiply by 8, divide by 2

• Subtract 2, add 8

Tags

CCSS.6.EE.B.7

 $\frac{x\ -8}{-2}=9$  

Solve for x:

• -18

• 10

• -10

• 18

Tags

CCSS.7.EE.B.4A

If l = 4, w = 8, and h = 5, what is the value of 2lw+2lh+2wh?

• 184

• 160

• 100

• 17

Tags

CCSS.6.G.A.4

Solve for m: $\frac{m}{4}-20=-50$  

Type your answer in the blank without any spaces

Tags

CCSS.7.EE.B.4A

Which verbal expression best represent the algebraic expression shown below:

3(x + 9)

• Three more than a number times nine

• Three times the sum of a number and nine

• The sum of three and a number plus nine

• Three times a number plus nine

Tags

CCSS.7.EE.A.2

CCSS.HSA.SSE.A.2

Solve: -8b + 4 < 20

• b < -2

• b > -2

• b < 2

• b > 2

Tags

CCSS.7.EE.B.4B

Which inequality below can be solved to represent the graph:

• $-5x\le10$

• $-5x\ge10$

• -5x > 10

• -5x < 10

Tags

CCSS.6.EE.B.8

You are saving up for a Playstation 5. You already have $40 in your savings account. Every time you mow a lawn you make $30. In order to buy the phone you will need at least $300.
Given the inequality  $40+30m\ \ge300$  where m represents the number of lawns you mow, which solution inequality shows the number of lawns you must mow to afford the Playstation.

•  $m\ge30$  

•  $m\ge12$  

•  $m\le30$  

•  $m\le12$  

Identify all the possible solutions for

h - 9 < 3

• 14

• 12

• 10

• 7

• -4

Which graph represents the inequality y + 11 < 7?

• A

• B

• C

• D

Tags

CCSS.7.EE.B.4B