Solving Multi-Step Equations

Solving by Combining Like Terms

100

5h + 2 + 2h = 23

h = 3

200

3b + b - 8 = 4

b = 3

300

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Claim it- Free Points 

400

-6 = -3y + 4 + 5y

y = -5

500

78 = 3c + 12 - c + 4

c = 31

Solving by Using the Distributive Property

100

2(x + 5) = 14

x = 2

200

5(d - 2) = 40

d = 10

300

7(4 - t) = -84

t = 16

400

-2(x - 9) = -24

x = 21

500

-13(4 + 2a) = 208

a = -10

Expressions

100

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200

Simplify. 19x - 24x

-5x

300

Simplify. 3 + 5(a + 4)

5a + 23

400

Simplify. - (2b - 4)

-2b + 4

500

Simplify. 7(t + 8.5) - 5t + 4

2t + 63.5

Equation Grab Bag

100

4x + 9 = 33

x = 6

200

x + 3x = -8

x = -2

300

4(y - 2) + y = -13

y = -1

400

-6(m + 1) + 18 = 24

m = -2

500

7k - 8 + 2(k + 12) = 52

k = 4

Word Problems

100

WRITE AN EQUATION & SOLVE: If the angles of a triangle are represented as 2x, 2(x -1) and 5x + 2 and the sum of the angle measures is 180 degrees, what is the value of x? 

 2x+ 2(x -1) + 5x + 2 = 180

x=20 

200

Your business needs to print brochures. You call two different print shops about prices. Company A charges a set-up fee of $50 for preparing the brochures and $1.50 per brochure to be printed. Company B charges a set-up fee of $75 for preparing the brochures and $1 per brochure to be printed.

1.5x+50=x+75

x=50

300

You are a contractor and charge $45 for a site visit plus an additional $24 per hour for each hour you spend working at the site. 

Create an equation to determine how many hours you have to work to earn $810.

45 + 24h = 810

400

Describe the value for c for which the equation 2(x + c) = 2x + 6 would have infinitely many solutions

c=3

500

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