Expressions Review

Factor the expression:

-8x + 24

• -8(x - 3)

• -4(x - 6)

• -2(4x - 12)

• 2(-4x + 12)

You have 10 pc games. Your friend has x fewer games than you. Which expression shows this situation?

• 10x

• x - 10

• 10 - x

• 10 + x

Simplify this expression:
 $5x-8+\frac{1}{3}\left(12x-9\right)$  

• 17x -17 + 1/3

• 9x - 11

• 105x - 75

• 9x + 11

The cost of renting a Uhaul truck for the day is $19.99 plus $0.99 per mile. Which expression can be used to show this?

• 0.99 - 19.99m

• 19.99m + 0.99

• 19.99 + 0.99m

• 19.99m - 0.99

Which algebraic expression represents one-fourth of x less than 8.3?

•  $8.3x$  
  

•  $\frac{1}{4}x\ -\ 8.3$  
  

•  $\left(8.3\ -\ x\right)0.2$  

•  $8.3-\ \frac{1}{4}x\$  

 $\left(2x\ -6\right)-4\left(x+7\right)$  

Which procedure correctly simplifies this expression?

• Step 1:   2x - 4x - 6 + 7
  Step 2:  -2x + 1

• Step 1:  2x - 6 - 4x + 7
  Step 2:  -2x + 1

• Step 1:  2x - 6 - 4x + 28
  Step 2:  -2x + 22

• Step 1:  2x - 6 - 4x -28
  Step 2:  -2x - 34

Ethan was asked to factor the expression:

24x + 16y - 8z

Here is his work:

4(6x + 4y - 2z)

Which statement is true about his work?

• Ethan correctly factored the expression because 4 is the GCF of 24, 16, and 8.

• Ethan should have factored an 8 from each term because 8 is the GCF of 24, 16, and 8.

• Ethan did not use the correct operations.

• Ethan should not have used parentheses in his answer.

The table shows the number of cars in a parking lot on various days.

Which expression can be used for the total number of cars in the parking lot on Monday and Tuesday?

• 2(3x) + 2(x - 5)

• 3x - x - 5

• 4x - 5

• 4x + 5

Which expression could be used for the total number of cars in the parking lot on all 5 days?

• 9x + 4

• 8x - 3

• 7x + 26

• 9x + 26

Which expression shows the perimeter of the shape in simplest form?

• 17x + 4

• 16x + 7

• 17x - 7

• 15x + 4