Equivalent Expressions

Expressions in Words

100

1. Which of the following word phrases describe the expression 𝑤 ÷ 8? Circle all that apply. 

A. the quotient of w and 8 

B. w divided by 8 

C. the sum of w and 8 

D. the product of w and 8 

E. eight less than w

A & B

200

Part 2:

4. Write a phrase for each algebraic expression.

6k  + 1

Answers may vary

300

Part 2:

3.  Write a phrase for each algebraic expression. 

5x

5 times x (answers may vary)

400

Part 2:

2. The quotient of m and 2 increased by nine

(m/2) + 9

500

Part 2:

1. Four less than the product of 3 and p

3p - 4

Evaluating Expressions

100

3. What is the value of 6𝑥 − 4 when 𝑥 = −5?

-34

200

4. What is the value of the expression below when 𝑎 = 4, 𝑏 = 12 and 𝑐 = −1? 

(5a + b) / (-2*a*c)

4

300

5. Evaluate each expression. 9ℎ − 4 when ℎ = 3

23

400

6. Evaluate each expression. 

3(𝑎 − 6) when 𝑎 = 8 

6

500

7. Evaluate each expression. 

−10𝑤 + (n/w) when 𝑛 = 60 and 𝑤 = −4

25

Distributing

100

5. What value correctly fills in the blank in the equation below? 5(3𝑥 − 2) = _______𝑥 − 10

15

200

6. Which expressions are equivalent to 5(𝑡 − 2)? Circle all that apply

B D F

300

11.Simplify each expression 

 9(𝑎 + 6)

9a+54

400

12. Simplify each expression. 

2(5𝑘 − 3) − 10

10k -16

500

13. Simplify each expression. 

12 + (3/4) (𝑥 + 12) + (1/4)x 

x+21

Factoring

100

7. Which of the following expressions is the factored form of 8𝑥 − 28 using the greatest  

4(2x-7)

200

14. Factor each expression using the greatest common factor. 

a. 6𝑥 + 24 

6(x+4)

300

14. Factor each expression using the greatest common factor. 

b. 8𝑥 − 20 

4(2x -5)

400

2. Jonah charges $12 per hour plus $4 for each painting. If Wilkie charges twice as much as Jonah, what expression represents how much Wilkie charges? Circle all that apply.

B C E

500

8. Which of the following are equivalent to the expression 6𝑚 + 4 − 2𝑚 + 9? Circle all that apply

D F