Solving Linear Equations

Simplifying Expressions

100

4x - 2x - 20x + x

-17x

200

-2.4x + 3.8x - x

.4x

300

8(2g - 9)

16g - 72

400

12.5(3 + 2w) 

37.5 + 25w

500

13 - 0.25(4g + 6)

11.5 - g

One and Two Step Equations

100

t - 4.25 = -4

t = .25

200

6/7e = 12

6/7 = six sevenths (fraction)

e = 14

300

d/1.6 + 31 = 4-

d/1.6 = d over 1.6 (fraction)

d = 14.4

400

2/3x + 19 = 35

2/3x = two thirds x (fraction)

x = 24

500

Formulate and Equation & Solve

Mrs. Hays is scuba diving and is 3.5 feet below sea level. She is descending at a rate of 0.5 feet per minute. If Paul is now at 12 feet below sea level, how many minutes has he been diving?

Equation: -3.5 - .5f = -12 

Solution: 17 minutes

Multi-Step Equations

100

8x - 28 - 2x = -10

x = 3

200

8.6x + 4.4x - 11 = 54

x = 5

300

-3(2p - 3) + 10p = 39

p = 7.5

400

-2.5(3x - 4) + 5x = 32.5

x = -9

500

8 + 2/3(6x + 30) = 80

x = 13

Equations with Variables on Both Sides

100

8x - 7 = 4x + 21

x = 7

200

13x + 9 = 6x - 12

x = -3

300

1/4x + 17 = x - 4

1/4x = one fourths x (fraction)

x = 28

400

6 + 12(x + 3) = 7x + 30 + 6x

x = 12

500

5 + 1/3(6x + 9) = -(x - 4)

x = - 1 1/3

How Well Do You Know Your Math Teachers?

100

How tall is Ms. Dittemore? 

5'5

200

How many letters are in Ms. Weston's fiance's name?

6

300

How many dogs does Ms. Weston have?

5

400

What is the product of the years we graduated high school?

Weston - 2017

Dittemore - 2022

4,078,374

500

What is the sum of Ms. Weston and Ms. Dittemore's ages?

48