Solving One-Variable Equations

One-Step Equations

100

x = 3 - 9

x = -6

200

3 + g = -17

g = -20

300

19 - w = 13

w = 32

400

7x = 126

x = 18

500

p/3 = -9

p = -27

Multi-step Equations

100

2p + 1 = 21

p = 10

200

7p - 9 = -30

p = -3

300

2(x + 1) = 18

x = 8

400

6(t - 3) = -60

t = -7

500

5y + 14 = 99

y = 17

More Equations

100

x/2 = 18

x = 36

200

In a cranberry punch recipe, four cups of cranberry juice and one quart of pineapple juice make up half of the punch. How many cups of punch does the recipe make?

16 cups

300

A teacher tells 36 students to form 4 equal groups. Write and solve a multiplication equation to find how many students s there should be in each group.

9 students

400

A jacket is on sale for $10 off. You have a coupon worth $5.80 that brings the cost of the jacket down to $33.19. Write and solve an equation to find the original cost c of the jacket.

a = 48.99

500

DOUBLE POINTS! 

x + 1 + 3x - 5 = 8

x = 3

Problem Solving

100

63 = r + 31

r = 32

200

Aria is making waffles. 3 out of every 10 waffles are cinnamon and the rest are plain. If she makes 90 waffles, how many are cinnamon?

Using the following equation, solve to figure out how many cinnamon waffles Aria made. 

c - cinnamon waffles & w - total waffles 

c = (3/10)w

27 cinnamon waffles

300

One elephant runs 10 mph for 45 minutes. How many miles does the elephant run?

7.5 miles

400

Joseph is building a rectangular garden. He has 30 feet of fencing. The width of the garden must be 8 feet. What is the length of the garden?

L = 14 ft

500

What is an inverse operation? List the inverse operation for each of the following!

- Addition

-Subtraction

- Multiplication 

- Division

The opposite operation - aka the operation you use to work backwards or undo another operation.

- Addition ---> subtraction

-Subtraction ---> addition

- Multiplication ---> division

- Division ---> multiplication

RANDOM

100

3x/20=12

x = 80

200

15x/5 = 27

x = 9

300

87x - 67x = 100

x = 5

400

2.1x = 4.2

x = 2

500

What is the difference between an independent and a dependent variable?

Independent - happens 1st, is the cause, is the determining factor

Dependent - happens 2nd, is the effect, is determined by what happens with the independent variable.