7th Grade - Expressions and Equations

One and Two Step Equations

100

Solve for x: 

3x = 18

x = 6

200

Solve for n: 

n/7 = 7

x = 49

300

Solve for k:

-18k - 25 = -277

k = 14

400

Solve for p:

(-p)/14 - (-19) = 12

p = 98

500

Solve for w:

-10 - (-w)/23 = -2

w = 184

Equations with Variables on Both Sides

100

Solve for x:

3x - 9 = 2x 

x = 9

200

Solve for n: 

6n + 16 = 12n - 62

n = 13

300

Solve for k: 

4k - 3k + 25 = 2k + 8

k = 17

400

Solve for p: 

32 + 15p - 8 = 8p - 4

p = -4

500

Solve for w: 

10w + 90 - 7w = 8w + 43 + 5w - 97

w = 14.4

Multi-step

100

What does DCII stand for?

Distribute

Combine Like Terms

Inverse of Addition or Subtraction

Inverse of Multiplication or Division

200

Solve for n: 

3n + 4n = 9(7)

n = 9

300

Solve for k: 

2 + 4(k - 2) = 38

k = 11

400

Solve for p: 

-202 = 8(2p - 7) - 18

p = -8

500

Solve for w: 

28w - 7(4w + 3) = 19

No solution

Distributing / Factoring

100

Simplify the expression:

2(x + 3)

2x + 6

200

Factor the expression:

20x + 50

10(2x + 5)

300

Simplify the expression:

2 + 3(2x - 4)

6x - 10

400

Factor the following:

-72x - 27

-9(8x + 3) or 9(-x - 3)

500

Simplify the expression:

10 - 4(3x - 5) + x

-11x + 30

Vocab and Consecutive Integers

100

What is a variable? 

A letter that represents an unknown number.

200

What are the coefficients in the following expression:

2x - 4y + 6

2, -4

300

Write an expression that has a constant and state what the constant is. 

Answers may vary. 

400

The sum of three consecutive integers is 84. What are the three integers?

27, 28, 29

500

The sum of three consecutive even integers is 48. What are the three integers? 

16, 17, 18