Solving Multi-Step Equations

Equations with Combining Like Terms

100

5h + 2 + 2h = 23

h = 3

200

3b + b - 8 = 4

b = 3

300

3a + 12 - 6a = -9

a = 7

400

-6 = -3y + 4 + 5y

y = -5

500

78 = 3c + 12 - c + 4

c = 31

Equations with 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

Multi Step Equation

100

6x+6=3(2x+7)

No Solutions

200

7-2(x+8)=4x+3-x

x=-12/5 or -2.4

300

8x+2-4x+10=2(2x+6)

All Solutions

400

Given a rectangle with the length of 4 and a width of 3x+6, if the perimeter is 50. What does x equal?

x=5

500

Given a rectangle with the length of 4 and a width of 3x+6, if the area is 36. What does x equal?

x=1

Mixed Review

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

Literal Equations

100

Solve for x:

ax+b=c

x=(c-b)/a

200

Solve for a:

m=(a+b)/c

a=cm-b

300

Solve for y:

4y-a=b

y=(b+a)/4

400

Solve for y:

(xy)/m +b =c

y=m(c-b)/x

500

Solve for w:

m=2wh+2wl

w = m/(2h+2l)