Multi-Step Equations

Expand/factor

100

3(x+6)

3x+18

200

 4(3+4x-2)

16x+4

300

2(2x+5x - 3 +7)

14x+8

400

Factor 5x + 55

5(x + 11)

500

Factor 8x + 12xy

4x(2 + 3y)

Two-Step Equations

100

3m + 15 = 85

Draw a tape diagram

85

m m m 15

200

-10p - 90 = 10

Solve for p

p = -10

300

-3a + 11 -7a = -9

What is the value of a?

a = 2

400

5(10x + 25) = 250

Draw a tape diagram

                                250

10x +25 ]  10x +25]10x +25 ]10x +25] 10x =25 

500

9t - 6 - 6t = 6

What is the value of t?

t = 4

Multi-Step Equations

100

8b + 3b = 22

What is b?

b = 2

200

19x -5 - 24x = 10

What is the value of x?

x = -3

300

-6(m + 1) + 18 = 24

What is the value of m?

m = -2

400

6(2y + 5) = 4y + 30

What is the value of y?

y = 0

500

5(a - 4) = -2a + 8

What is the value of a?

a = 4

Distribution Multi-Step Equations

100

64 = 8(r + 2)

What is r?

r = 6

200

7(f - 1) = 49

What is f?

f = 8

300

5(d - 2) = 40

What is d?

d = 10

400

72 = 5(4x + 10) +2

x = 1

500

9(y - 4) - 7y = 5(3y - 2)

What is y?

y = -2

More Multi-Step Equations

100

x/3 +6 = 10

x=12

200

r/5 -12 = -10

r=10

300

8x-7=5(x-2)

x=-1

400

6(x-3)=3(x+6)+x

x=18

500

3(x-1)-2(3x-1)=12

x=-13/3

or

x=-4.33