One-Step Equations
Two-Step Equations
Multi-Step Equations
Equations with Variables on Both Sides
Consecutive Integers
100

v - 15 = -27

v = -12

100

-4 = (r/20) - 5

r = 20

100

20 = -4j - 6j

j = 2

100

-2e - 1 = 5e - 8

e = 1

100

Write and solve an equation to find two consecutive integers whose sum is 45.

22 and 23

200
m + 4 = -12

m = -16

200

9y - 7 = -7

y = 0

200

-8 = -(d + 4)

d = 4

200

o - 4 = -9 + o

No solution

200

Write and solve an equation to find three consecutive odd integers whose sum is 369.

121, 123, and 125

300

-143 = -11x

x = 13

300

-1 = (5 + k)/6

k = -11

300

12 = -4(-6g - 3)

g = 0

300

5w + 34 = -2(1 - 7w)

w = 4

300

The lengths of the sides of a triangle are consecutive odd integers. What is the length of the longest side if the perimeter is 45 centimeters?

17 centimeters

400

-6 = b/18

b = -108

400

(t + 9)/3 = 8

t = 15

400

14 = -(p-8)

p = -6

400

2(4q - 3) - 8 = -14 + 8q

Infinitely many solutions

400

Write and solve an equation to find three consecutive even integers whose sum is -48.

-18, -16, and -14

500

-15 + n = -9

n = 6

500

-15 = -4s + 5

s = 5

500

1 - 2z + 5 = 8

z = -1

500

-18 - 6i = 6(1 + 3i)

i = -1

500

Three consecutive integers are such that three times the smallest is 14 more than the largest. Find the integers.

8, 9, and 10