Addition & Subtraction Properties of Equality
Presentation
•
Mathematics
•
5th - 8th Grade
•
Medium
+3
Standards-aligned
Zaheer Sattar
Used 31+ times
FREE Resource
8 Slides • 13 Questions
1
Addition & Subtraction Properties of Equality
2
What is an Equation?
An Equation is a mathematical sentence that uses an equal sign (=) to show that two expressions are equal
3
Multiple Choice
Which expressions are equal (the same) on both sides of the equals sign?
5 x 3 = 15
3 + 2 = 9
10 - 2 = 15
4
Multiple Choice
Which expressions are equal (the same) on both sides of the equals sign?
5 x 4 = 9
17 + 5 = 22
18 - 9 = 1
5
Multiple Choice
When is an equation true?
When both sides have different numbers
They are always false
When both sides are the same
6
What is a Variable?
- A variable is an unknown value
- A solution of an equation is a value for the variable that makes the equation true
7
Tell which value of the variable is the solution of the equation
d + 9 = 16 d = 5 , 7 , 9 , 11
Use substitution and replace d with the given options
If d = 5, 5 + 9 = 16 ----> 14 = 16
as we can see there is no balance and it is not equal on both sides.
If d = 7, 7 + 9 = 16, ----> 16 = 16
there is balance and it is equal on both sides, so d = 7
8
Multiple Choice
Tell which value of the variable is the solution of the equation.
8a = 56
a = 4 , 5 , 6 , 7
4
5
6
7
9
Multiple Choice
Tell which value of the variable is the solution of the equation.
72 ÷ k = 8
k = 7 , 8 , 9, 10
7
8
9
10
10
Properties of Equality (POE)
The property of Equality states that when you perform the same operation on both sides of the equal sign the two sides stay equal
11
Properties of Equality (POE)
12
Multiple Choice
What property of equality is shown below?
25 + d = 36
25 + d - 25 = 36 - 25
addition property of equality
subtraction property of equality
division property of equality
multiplication property of equality
13
Multiple Choice
What property of equality is shown below?
y - 12 = 30
y -12 + 12 = 30 +12
addition property of equality
subtraction property of equality
multiplication property of equality
division property of equality
14
Multiple Choice
What property of equality is shown below?
7n=28
7n ÷ 7 = 28 ÷ 7
addition property of equality
subtraction property of equality
multiplication property of equality
division property of equality
15
Using POE you can now solve equations to find the unknown variable
Remember!! We want the variable by itself!!
g - 8 = 25
+ 8 +8
g = 33
16
Multiple Choice
Solve the following equation
x - 4 = 14
17
Solve the following equation
x - 4 = 14
+ 4 + 4
x = 18
18
Multiple Choice
Solve the following equation
8 + n = 16
19
Multiple Choice
Solve the following equation
d + 5 = 10
20
Multiple Choice
Solve the following equation
z - 33 = 234
z = 267
z = 231
z = 317
z = 281
21
Multiple Choice
Solve the following equation
y + 65 = 182
y = 107
y = 117
y = 247
y = 123
Addition & Subtraction Properties of Equality
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