Solving Equations

Single-Step Equations

100

g + 5 = 33

g = 28

200

r - (-19) = -77

r = -96

300

-^v⁄₅ = -45

v = 225

400

²⁄₅g = -14

g = -35

500

²⁄₃ + r = -1⁴⁄₉

-¹⁰⁄₉ OR -1¹⁄₉

Multi-Step Equations

100

5n + 6 = -4

n = -2

200

^c⁄_-3 + 5 = 7

c = -6

300

^m⁄_-5 + 6 = 31

m = -125

400

^(9z+4)⁄₅ - 8 = -6

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

all numbers

400

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

s = 3

500

¹⁄₆(a-4) = 1¹⁄₃(2a+4)

a = -4

Solving Formulas

100

Solve y=mx+b for m

m = ^(y-b)⁄_x

200

Solve 4b - 5 = -t for b

b = ^(5-t)⁄₄

300

Solve ^(6c-t)⁄₇ = b for c

c = ^(7b+t)⁄₆

400

Solve c = ³⁄₄y + b for y

y = ⁴⁄₃(c-b)

500

Solve ^(5x+y)⁄_a = 2 for a

a = ^(5x+y)⁄₂

Grab Bag

100

²⁄₃n + 7 = 21

n = 21

200

(-³⁄₅)t = -22

¹¹⁰⁄₃

300

Twenty-nine is thirteen added to four times a number. What is the number?

4

400

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

15 - 3n = -22

500

What is the solution of the equation?

7w + 6 - w = 8w -2 (w - 3)

Infinitely many solutions