Solving Multi-Step Equations

Proportions

100

x/60 = 5/15

x = 20

200

7/(x-8) = 3/x

x = -6

300

5/x-3 = 7/x-9

x = -12

400

5/6 = (x-10)/(3x+6)

x = -10

500

Solve for x.

(x - 9)/6 = (x + 7)/3

x = -23

Multistep Equations

100

2(x + 5) = 14

x = 2

200

-88 = -3(4m+5)-(1-3m)

m = 8

300

14w-2(1-w)=2(5w-1)

w = 0

400

9y-(2y-3)=5(y-2)+2y

No Solution

500

-4(x+5) = 5/3(3x-12)

x = 0

Literal Equations

100

Solve for r.

I = prt

r = I/pt

200

Solve for x.  

y = mx + b

(y-b)/m = x

300

Solve for x.

w = 9x + 5y

(w-5y)/9 = x

400

Solve for y.

w=(1/2)x²y

2w/x² = y

500

Solve for x.

w = x/y - z

y(w + z) = x

Absolute Value Equations

100

|x|=22

x={-22, 22}

200

|6m-6|=36

m={-5, 7}

300

|w+9| / 7 = 2

w = {-23, 5}

400

-5|6n+15|+2=-43

n= {-4, -1}

500

5|4p-4|=-50

No Solution

Word Problems

100

WRITE AN EQUATION & SOLVE: Julie is 3 years older than her sister. The sum of their ages is 31. How old are Julie and her sister?

14 and 17

200

Find three consecutive numbers whose sum is 84.

27, 28, 29

300

The larger of two numbers is 10 less than twice the smaller number.  If the sum of the two numbers is 38, find the two numbers.

Smaller: 16

Larger: 22

400

The length of a rectangle is 5 less than 3 times its width.  If the perimeter of the rectangle is 150, find its dimensions.

Width: 20

Length: 55

500

Find two consecutive odd numbers such that the sum of the larger number and twice the smaller number is 27 less than four times the smaller number.

29 & 31