Solving Linear Equations Review

Math Vocabulary

100

A term used to describe a "math phrase" that does not have an equal sign.

Expression

200

A term used to describe a "math statement" that has an equal sign.

Equation

300

A term used to describe a "fixed and unchanging number" used in expressions and equations.

Constant

400

A term used to describe what is "unknown" in algebraic expressions and equations.

Variable

WILD CARD - BONUS 100 POINTS - IF CORRECT

500

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

Algebra

600

A numerical constant multiplied by the variable in an algebraic expression (e.g. the "4" in 4x).

Coefficient

One-Step Equations

100

x - 8 = 4

x= 12

200

12 + x = 0

x= -12

300

3 = -2 – m

m= -5

400

-5x = -80

x= 16

500

x/2=-16

x= -32

600

8 = w/4

w = -32

Two-Step Equations

100

6x – 13 = 11

x= 4

200

14 = 3x + 5 

x= 3

300

p/2 +10=-8

p= -36

WILD CARD - BONUS 100 POINTS - IF CORRECT

400

(x+2)/4=10

x= 38

500

12 + k/3 = -3

k= -45

600

25= 1/4n-3

n = 112

Multi-Step Equations

100

4x + 3 = 7

x = 1

200

4(6 + 5q) = 124

q = 5

300

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

x = 7

400

172 = 5(4a + 6) + 2

a=7

500

-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.  

EQUATION: 3b + 1.99 = 55.99

BONUS: Each book costs $18.00.

Multi-Step Equations w/ Variables on Both Sides

100

5n - 2 - 8n = - 14

n = 4

200

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

p = 0

300

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

n = -1

400

5 = 4 - 3d + 6 - 9d

d= 5/12

WILD CARD - BONUS 100 POINTS - IF CORRECT

500

-5(8n - 4) + 4n = - 16 

n = 1

600

  - 4 = 3x + 2(x - 3) - 2x

x= 2/3