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One step equations

100

9 = 3a. Solve for a.

a = 3

200

25x = 500

x = 20

300

k - 11 = 33

k = 44

400

-v + 7 = 25

v = -18

500

3 = m/4

m = 12

Two step equations

100

8 = 2t + 6

t = 1

200

5 + 3z = 26

z = 7

300

9b - 2.4 = 5.16

b = 6

400

1/2 + 3x - 2 = 10

x = 3.8333

500

29x - 11 = 22

x = 29/33

Word Problems

100

Write the sentence as an equation: z less than 274 is the same as 87

274 - z = 87

200

Write the sentence as an equation: q subtracted from 330 is the same as 116

330 - q = 116

300

You earn $22 an hour as a life guard and you get an end of the summer bonus of $100. If you work 50 hours one summer, how much money do you make? 

$1200

400

You petsit for $10 an hour and get an added $25 as a one time bonus for gas. Write an equation that matches this real world situation. y = how much you make and x = how many hours you work. 

y = 10x + 25

500

You start a hike at 3,722 feet elevation and you gain 14 feet per minute while hiking. What is your elevation in feet after walking for two hours (assuming a constant pace)? Write an equation to represent this real world situation AND answer the question. 

y = 14x + 3722, after two hours = 5402 feet

Like terms

100

7a + 4b - 2a = ?

5a + 4b or 4b + 5a

200

5q - 4q = 9

q = 9

300

17r - 13r = 20

r = 5

400

3x² + 7x - 2x³ - x = ?

3x² + 6x - 2x³

500

9x² - x² + x²² - 7x² =

x² + x²²

Distributive property

100

2(x + 5) = 20

x = 5

200

5(x-3) = 2x + 7

x = 22/3

300

-5(-d + 5) - 7d = 13

d = -19

400

2(x-4) = 4x - 6

x = -1

500

5(3k + 11) = 6(1+k)

k = -49/9 or -5.4