Solving Equations

Single-Step Equations

100

g + .5 = 33

g = 32.5

200

r - (-19) = -77

r = -96

300

1.2x=2.4

x=2

400

²⁄₅g = -14

g = -35

500

²⁄₃ + r = -1⁴⁄₉

-¹⁹⁄₉ OR -2¹⁄₉

Multi-Step Equations

100

5n + 6 = -4

n = -2

200

^c⁄_-3 + 5 = 7

c = -6

300

b/13+3b/13=28/13

b=7

400

(9w+4)/5- 8 = -6

w=2/3

500

If 2x + 1 = 5, what is the value of 3x - 4?

2

Variables on Both Sides

100

3k - 5 = 7k - 21

k = 4

200

7(m-3) = 7

m = 4

300

3(1+d) - 5 = 3d - 2

identity or no solution

identity

400

2[s + 3(s - 1)] = 18

s = 3

500

(2x)/3+5/12=x/4

x=-1

Literal Equations

100

Solve y=mx+b for m

m = ^(y-b)⁄_x

200

Solve pb - w = -t for b

(w-t)/p

300

Solve for c:  

(PVC)/Q=T

c = (TQ)/(PV)

400

Solve c = ³⁄₄y + b for y

y = ⁴⁄₃(c-b)

500

A=(BH)/2 solve for B

B=(2A)/H

Grab Bag

100

²⁄₃n + 7 = 21

n = 21

200

y=3x+6   if x=-3 what is the value of y

y=-3

300

2x+2y=4

Solve for y

y=2-x

400

Write an equation to represent the following problem: Fifteen minus three times a number equals negative twenty-two.

15 - 3n = -22

500

1.21x+0.3=1.51

x=1