Vocabulary
Combining Like Terms
Two-Step Equations
Multi-Step Equations
Equations with Variables on Both Sides
100

The letter in an equation that represents an unknown value

Variable 

100

Simplify by combining the like terms:

6x + 2x - 3x

5x

100

Solve for y. 

2y + 1 = 5

y= 2

100

Solve for b.

4b - 4 + 7 = 7

b = 1

100

Solve for n.

5n - 2 = 8n - 14

n = 4

200

The term for a number in an equation that does not have a variable

Constant

200

Simplify by combining the like terms:

4x + 4 + 8x - 5

12x -1

200

Solve for x. 

x/3 + 2 = -7

x= -27

200

Solve for x. 

4(6 + 5x) = 124

x = 5

200

Solve for p. 

-4(-8p + 1) = -4 - 8p

p = 0

300

Terms in an equation that have the same variable and exponent are called:  

Like Terms

300

Simplify by combining the like terms:

10x - 5y + 9 - 5x + 8y - 12

5x + 3y - 3

300

Solve for j. 

939.3 +256.08j = -465.01

j= -5.48

300

Solve for a. 

172 = 5(4a + 6) + 2

a = 7

300

Solve for g.

6(6g - 2) = 8g - 40

g = -1

400

When we solve equations, we use this to get the variable by itself

Inverse Operations

400

Simplify by combining the like terms:

2(x - 3) + 9x - 2

11x - 8

400

Solve for w. 

-1/2w + 31/16 = 75/48

w= 3/4

400

Solve for d. 

-108 = -8(d + 6) - 4

d = 7

400

Solve for k.

-5(8k - 4) - k = - 16 - 5k

k = 1

500

What is the term for a number in front of a variable?

Coefficient 

500

Simplify by combining the like terms:

3(x + 2) - (7x - 3) - 8x 

-12x + 9



500

Solve for f. 

-2/3f + 1.25 = -4/5

f = 3.075

500

Solve for k.

-42 - 51 = 7(-3k - 8) + 5

k = 2

500

Solve for h. 

-3(2h + 4) = 2(-4h + 5)

h = 11