Solving
Equations

ADDITION PROPERTY OF EQUALITY
 What is the definition?
 Give an example.

A pet store has 45 mice. The number of mice is
22 more than the number of cats. Which equation can be solved to find the number of cats c ?
A. 22 c = 45 C. c + 22 = 45
B. 45 c = 22 D. c – 22 = 45

What is this?

Tulia bought 9 new golf balls. If she now has a total of 22 golf balls, how many did she start with? Write an equation and solve to find how many she started with.

 j + 5 = 12  9 + w = 14

 7.8
x = 23.4

Chad earned $30 for raking leaves. He has also earned money by doing chores.
Altogether, he has earned $120. How much did he earn doing chores?

What is this saying?

The height reached by Amal’s rocket was one fourth the height reached by Min’s rocket.
Amal’s rocket reached a height of 15 meters.
Write a division equation could be used to find the height reached by Min’s rocket?

 k – 25 = 99
 f – 32 = 13

Samantha brought a bucket of shells home from the beach. She gave 12 shells to her brother. If she now has 47 shells, how many shells did she bring home from the beach?
Write an equation and solve.

ANDREW’S CAT WEIGHS
10.4 POUNDS.
THIS IS
25.9 POUNDS LESS THAN
THE WEIGHT OF HIS DOG.
WRITE AND SOLVE A
SUBTRACTION EQUATION
TO FIND THE WEIGHT OF
ANDREW’S DOG.

𝑤
.3
= 9.5

 𝑐
20
= .2

Four friends bought tickets to the school play. If it cost them a total of $28, which equation could be used to find how much each friend paid?
A. X ÷ 4= 28 C. x + 4 = 28
B. 28 x = 4 D. 4 x = 28

Tina noticed that she had taken notes on
25 pages of her notebook. Ninety-five pages were still blank. Write and solve a subtraction equation to find the total number of pages in the notebook.

.8H = 48

7.3p = 29.2

The difference between the high and low temperatures one day was 26°F. The low was 64°F. Write and solve a subtraction equation to find the high temperature.

Mallory needs to go to the airport. It takes her 120 minutes to get there by car. This is 3 times the time it takes by train. Write and solve a multiplication equation to find how long it takes Mallory to get to the airport by train.

2
3
4
+ p = 6
1
2
3 3/4

Jackie and Chelsey have $842.90 together. If
Chelsey has $345.23, how much does Jackie have? Write and solve an addition equation to find how much money belongs to Jackie?

 A store is selling blank CDs in packages of 30 for $6.00. Write and solve a multiplication equation to find the cost of one blank cd.

ELLIE IS BAKING
LASAGNA AND THE
PREP TIME IS 12
MINUTES, WHICH IS ONE
FOURTH OF THE BAKING
TIME. WRITE AND
SOLVE A DIVISION
EQUATION TO FIND THE
BAKING TIME.