Solving Equations Review

Math Vocabulary

100

This type of math problem has no equal sign.

Expression

200

This type of math problem has an equal sign.

Equation

300

Another word for numbers used in expressions and equations.

Constant

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

A numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. the '4' in 4x or 4y).

Coefficient

One-Step Equations

100

4 = -8 + x

x= 12

200

x + 12 = 0

x= -12

300

3 = -2 – x

x= -5

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

Solving Equations

4x + 3 = 7

x = 1

200

Solving Equations

4(6 + 5x) = 124

x = 5

300

Solving Equations

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

x = 7

400

Solving Equations

172 = 5(4a + 6) + 2

a=7

500

Solving Equations

-93 = 7(-3k - 8) + 5

k = 2

600

Write the equation:
You buy 3 books that each cost the same amount and a magazine, totaling $55.99. The magazine cost $1.99. How much does each book cost?

Solve for 100 BONUS points.  

3b + 1.99 = 55.99

BONUS: 3b + 1.99 = 55.99
                  -1.99       -1.99

3b = 54.00

3b/3 = 54.00/3

b = 18   Each book costs $18.00.

CHALLENGE: Multi-Step Equations w/ Variables on Both Sides

100

Solving Equations

5n - 2 - 8n = - 14

n = 4

200

Solving Equations

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

p = 0

300

Solving Equations

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

n = -1

400

Solving Equations

5 = 4 - 3x + 6 - 9x

x= 5/12    or    x= 0.41667

WILD CARD - BONUS 100 POINTS - IF CORRECT

500

Solving Equations

-5(8n - 4) + 4n = - 16 

n = 1

600

  - 4 = 3x + 2(x - 3) - 2x

x= 2/3