6th Grade Expressions and Equations

Distributive Property

100

Distribute the following:

3(x+3) 

3x+9

200

Distributive the following:

5(3x + 2)

15x + 10

300

Distribute the following:

6(2x + 3y) 

12x + 18y

400

Distribute the following:

5(2x - 4) + 2x

12x - 20

500

Distribute the following: 

6(2x + 3) + 7(4 + 2x)

26x + 46

Factoring

100

Factor the following:

15x + 3

3(5x + 1)

200

Factor the following: 

21x + 7 

7(3x + 1)

300

Factor the following:

44x + 60

4(11x + 15)

400

Factor the following:

30x + 90y

30(x + 3y)

500

Factor the following:

80x - 22y

2(40x - 11y)

One-step equations

100

Solve the following:

x + 3 = 15

x = 12 

200

Solve the following:

x - 20 = 8

x = 28

300

Solve the following:

5x = 30

x = 6

400

Solve the following:

x/11 = 5

 x = 55

500

Solve the following: 

1/3x = 4/7

x = 12/7

One-step inequalities

100

Solve the following (including a number line):

x + 2 < 15

x < 13

200

Solve the following (including a number line):

x - 7 ≥ 22

x ≥ 29

300

Solve the following:

5x ≤ 20

x ≤ 4

400

Solve the following: 

x/2 > 14

x > 42

500

Solve the following (round to hundredths): 

1.3x > 40

x > 30.769

Parts of an expression

100

In the expression 

4x + 3

What is the variable?  

x

200

In the expression

2x + 9 

What is the constant? 

9

300

In the expression

7x + 2y + 5z

What are the coefficients? 

7, 2, 5

400

In the expression 

15x - 5y + 22 - 7t

How many terms are there? 

4

500

In the expression

5(x+3) 

5 is the ________ 

and (x+3) is the _____________

5 is the greatest common factor

and (x+3) is a sum or factor