1. Grade 6 Patterning and Algebra Unit
Solving Equations
Grade 6 Patterning and Algebra Unit

2. What is an equation???

3. Equation Definition
An equation is a statement that two things are equal, where the left side equals the right side.
Which of these are equations?
5+8=13
7x3=21
4+9-7
19=25-6
63/7=3x3

4. Equations
5+8=13
7x3=21
19=25-6
63/7=3x3
What makes these equations? How do you know?

5. Solving Equations
The goal to solve an equation is to find the missing number.
Example #1:
163=?+49
How can we solve this?

6. Example #2
How would we solve this equation?
?/6=44

7. Inverse Operations
To solve equations, we can use inverse operations, this means to do the opposite of what operation is in the equation.
Example #3
?/5=7 The inverse operation of division is multiplication, so to solve this equation we would multiple 5x7, this will find the missing number of 35.

8. Example #4 To solve this equation you must:
1. Look at what operation is being used
2. Use the inverse operation to solve, which means it’s opposite
?-26=15

9. Task
In groups, solve the following equations. After you solved the equations, write the steps you took to reach your answer.
Group 1: ___+14=18 19x___=76
Group 2:
95=____-44
345/___=15
Group 3:
22-___=14
480=8x____
Group 4 84=107-____ 13x_____=39
Group 5
100=33+____ ; 7=___/7