6th Grade - Expressions Review

Associative, Commutative or Distributive?

100

Which property is being used: 6 + 7 = 7 + 6?

Commutative

200

Which property is being used in 7(6x5) = 6(7x5)?

Associative

300

Use the Distributive Property: 5(4x - 12)

20x - 60

400

Use the Distributive Property to simplify:

(7+6x)(9)

63 + 54x

500

Which property is used to group different numbers?

Associative, bruh

Writing Expressions

100

Write an algebraic expression for the product of 8 and g.

8g

200

Write an algebraic expression for twenty two doubled, then decreased by w.

22(2)-w

300

Write an expression for t less than 19

19 - t

400

The ice skating rink charges $2 for a skate rental and $5 per hour of skating. Write an expression that shows how much you would pay with h hours of skating time. 

5h + 2

500

Each book at the book fair costs $8. Write an expression for the situation where b represents the amount of books you buy.

8b

Combining Like Terms

100

Combine like terms to simplify: 2x + 9 + 4y + 4 + 7x

9x + 4y + 13

200

Simplify by using the distributive property: 

3(2x - 8) - x

What is 5x - 24

300

Combine like terms to simplify: 4y + 3 + 2x - 2y - 1

What is 2y + 2 +2x

400

Combine like terms to simplify: 

18x + 6(5x - 4) - 10x

38x - 24

500

Simplify the following expression: 2(5x -4) +3x - 2x

What is 11x - 8

Fun with Exponents

100

8² = ?

64

200

7² - 17 + 2³ =

40

300

Solve for 4x³ when x = 3

108

400

Write the expression for fifty b cubed

50b³

500

9² + 4(3x + 12²)

12x + 657

Solving Expressions

100

What is the value of y in the algebraic expression: 20/y = 4

5

200

v² / 3 - 12 when v = 6

0

300

25c - 40 when c = 3

35

400

Find the value of the expression if x = 8.

 x + 3(x + 4)

44

500

Solve 2.75n when n = 4.5

12.375