Solving Equations

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= -18

Two-Step Equations

100

6x – 13 = 11

x= 4

200

3x + 5 = 14

x= 3

300

x/2 -3=-8

x= -10

400

x/2-50=10

x= 120

500

x/3+16=-3

x= -57

Distributive Property Equations

100

Solving Equations

-(-x + 2) = 6

x = 8

200

Solving Equations

-5(p + 4) = 6

p = -5.2

300

Solving Equations

2(n+5) = 4

n = -3

400

Solving Equations

5(m-3) = 4

m = 3.8

500

Solving Equations

3(𝑥 − 9) = −3

x = 8

Multi-Step Equations

100

Solving Equations

(3 + 4x)/3 = 7

x = 4.5

200

Solving Equations

(4 + 5x)/2 = 29

x = 10.8

300

Solving Equations

-45 = (2x - 4)/4

x = -88

400

Solving Equations

4 = (7a - 8)/12

a=8

500

Solving Equations

-21 = 7(5k - 8)

k = 1

Terminology

100

What is the result of a negative number being multiplied by another negative number?

The result is a positive number

200

What does "perform the inverse mean" when referring to solving equations?

Performing the opposite operation to both sides of the equals sign.

The opposite of addition is subtraction, the opposite of multiplication is division and vice versa

300

What does "solve" require as a solution in solving equations?

a variable on one side of the equals sign and a number on the other side

400

When rounding to two decimal places, what number would I look at if I was to round 23.83465831 and what would my answer be?

When rounding to two decimal places, I would look at the third number after the decimal point. It is the number "4". This requires my solution to be rounded to 23.83

500

When rounding to two decimal places, what would my solution be to 89.8999999

89.90