Solving Equations Review

Math Vocabulary

100

What is it called to simplify an expression by grouping numbers and variables?

Combining Like Terms

200

This type of math problem has an equal sign.

Equation

300

Another word for numbers used in expressions and equations.

Integers

400

Another word for the letters used in expressions and equations.

Variable

WILD CARD - BONUS 100 POINTS - IF CORRECT

500

Name of the type of math where numbers and symbols are used to formulate expressions and equations.

Algebra

600

In a two step equation what is your first step ? 

Add or Subtract.

One-Step Equations

100

4 = -8 + x

x= 12

200

x + 12 = 0

x= -12

300

122 = -2x

x= -61

400

-5x = -80

x= 16

500

-16 = x/2

x= -32

600

w/4 = -8

w = -32

Two-Step Equations

100

6x – 13 = 11

x= 4

200

3x + 5 = 14

x= 3

300

(x/2) +10=-8

x= -36

WILD CARD - BONUS 100 POINTS - IF CORRECT

400

(x/2)-4=10

x= 28

500

(x/3)+12=-3

x= -45

600

25 = 1/4n - 3

n = 112

Steps:

25 = 1/4n - 3
+ 3           +3

28 = 1/4n

now multiply by 4 or (4/1), combine like terms and simplify 4 * 1/4n.

4 * 28 = 4 * 1/4n

112 = n

Multi-Step Equations

100

(x+1)/5=10

x = 49

200

(3x+3)/2=9

x = 5

300

(x+5)/25 = 4

x = 95

400

172 = 2(2a + 3) 

BONUS QUESTION (PBIS POINTS)

a=7

500

-54 = (-8x - 52)/2

X =7

600

Solving Equations 

(4(6 + 5x))/4 = 31

x = 5

Multi-Step Equations w/ Variables on Both Sides

100

Solving Equations

5n - 2 = 8n - 14

n = 4

200

Solving Equations

32p + 1 = -79 - 8p

p = -2

300

Solving Equations

14n - 30 + 22n + 18 = 8n - 40

n = -1

400

Solving Equations

5x + 5 + 4x = 4 - 3x + 6

x= 5/12    or    x= 0.41667

WILD CARD - BONUS 100 POINTS - IF CORRECT

500

Solving Equations

-40n + 86 - n = - 22 - 5n

n = 3

600

 2x - 4 = 3x + 2(x - 3) 

x= 2/3