How do you use properties of equality to solve equations?
X + 7 = 22
In this lesson you will learn to solve equations… by using
additive inverses
Let’s Review
Properties of numbers
4 = 44 + 2= 4+ 2 4 -3 = 4-3
Let’s Review
When we use the term solution, we mean a value that makes the equation
true x-1=0
1 is our solution
Let’s Review
Additive Inverse
1 + -1 = 0
A Common Mistake
Thinking additive inverses must be negative
Core Lesson
x+5 = 10
x+5 -5 = 10-5
X = 5
+ - 5 is the same as - 5
Core LessonX – 2 = 7
x – 2 + 2= 7+ 2
x = 9
Here we’re looking at -
2 as “a”
In this lesson you have learned how to solve an equation… by
using additive inverses.
Guided Practice
Solve the following equations for x; show your work
x + 3 =13
x – 6 = 20
Extension Activities
Why do we use substitution to check our answers when we solve an equation? Provide an example.
Extension Activities
Define “additive inverse” in your own words. How would you use additive inverses to solve x + 4 = -5 ?
Quick Quiz
Solve for x, show your workx – 7 = 8
Solve for x, show your workx + 2 = 19