Equations

Absolute Value

100

Solve:

l x + 8 l = 12

x = {-20, 4}

200

l x-3 l + 8 = 3

No solution

300

3 l x -4 l + 1 = 19

x = {-2, 10}

Literal

100

Solve for P:

E = Prt

P = E / rt

200

Solve for h.

V = pi r^2h

h = V / pi r^2

300

Solve the equation for a.

w = 7a + 4b

a = w - 4b / 7

Real World

100

The larger of two numbers is 15 more than three times the smaller number. If the sum of the two numbers is 63, find the numbers.

12, 51

200

The length of a rectangle is five inches less than twice its width.  If the rectangle has a perimeter of 80 inches, find the length and width.

15 in, 25 in

300

The sum of two consecutive odd numbers is 72.  Find the numbers.

35, 37

Proportions

100

6 / y-5 = 18 / y

y = 7.5

Multi-Step

100

-12x + 8 + 5x = 36

x = -4

200

8k - (6k - 4) = 10

k = 3

300

9(m + 5) - 3(m - 2) = 8m + 31

m = 10

400

-5(x-3) - 2x = 46 - 4(x+1)

x = -9