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One Step Equations

100

Solve 3x=-27

x=-9

200

x+12=20

x=8

300

12x=62.4

x=62.4

400

x/8=40

320

500

6/x=24

x=4

Two Step Equations

100

2x+12=45

16.5=x

200

3x+10=64

18

300

7x-14=35

7

400

5x-7=63

14

500

-14+(1/2)x=12

13

Multi-Step Equations

100

2x+14=4x-6

10

200

25-x=3.5x+7

4

300

4x-13=10x-7

1

400

0.5x+10=1.5x - 8

18

500

3x-7=2(2x-2)

-3

Writing Equations

100

Ms. Schiller's business sells custom artwork. A regulars canvas cost $27. Every color added adds $0.35 and every personalized addition cost $5.50. Write an equation to represent the situation.

t=27+0.35c+5.50p

200

Linda's business sells water 40 oz water bottles. The water bottles come already filled. Linda's straw allows you to drink 0.5 oz per second. Write an equation to represent the situation.

40-0.5s=t

300

Grace has multiple businesses that sell custom clothing. A black or white t-shirt cost $9. Writing cost $2 per word. Pictures cost $7. A colored t shirt cost $12 with the same per word and picture prices.  Write an equation to represent each situation.

t=9+2w+7p

t=12+2w+7p

400

Eden's business sells music instruments. Small instruments cost $140 and large instruments cost $230.All instruments come with a tuning that cost $12. Write an equation to represent the situation. 

140s+230b+12=t

500

Daniel's business sells custom sports balls. A basketball cost $29.99. A soccer ball cost $23.98, a volleyball cost 14.98 and a golf ball cost $1.76. Each order comes with a bag that cost $2.12. Write an equation to represent the situation.

29.99b+23.98s+14.98v+1.76g+2.12=t

Solve using substitution

100

y=6x-11

-2x-3y=-7

x=2 y=1

200

y=-2

4x-3y=18

x=3

y=-2

300

-4x+y=6

-5x-y=21

x=-3

y=-6

400

-5x+y=-3

3x-8y=24

x=0

y=-3

500

-7x-2y=-13

x-2y=11

x=3

y=-4