Writing Equivalent Equations
Presentation
•
Mathematics
•
9th Grade
•
Hard
Joseph Anderson
FREE Resource
6 Slides • 5 Questions
1
Equivalent Equations
Objective: create and identify equivalent equations.
2
Vocabulary
Equivalent: to two meanings, numbers, or quantities that are the same.
Examples:
NOTE: look at each side of the equal sign like it's own seperate entity. NOT like a sentence
3
Are the following expressions equivalent?
4 + 2 x 3 - 2 = 44 ÷ 2
2(x + 9) = 24 + 2x - 15
?
?
EXAMPLE
4
Multiple Select
Choose all the equivalent expressions.
56 ÷ 7 = 4 + 3
3x + 12 = 6 + 3x + 6
4(x - 5) = 3x - 20 + x
6 + 2 x 4 - 7 = 30 - 5
5
ADDITION PROPERTY OF EQUALITY
Adding the same number to both sides of an equal sign makes an equivalent equation.
8x + 5 = 13
is equivalent to
8x + 5 + 4 = 13 + 4
8x + 9 = 17
6
EXAMPLE
If 5 is added to both sides what is the result?
3x - 15 = 32
7
Multiple Choice
What is the equation after you ADD 3 to both sides and simplify it?
3x - 5 = -2
3x - 8 = -5
6x - 8 = -5
3x - 2 = 1
6x - 1 = 1
3x - 1 = -5
8
Fill in the Blanks
Type answer...
9
SUBTRACTION PROPERTY OF EQUALITY
Subtracting the same number from both sides of an equal sign makes an equivalent equation.
8x + 5 = 13
is equivalent to
8x + 5 - 4 = 13 - 4
8x + 1 = 9
10
Multiple Choice
What is the equation after you SUBTRACT 4 from both sides and simplify it?
9x + 8 = -4
5x - 4 = 0
5x - 4 = -8
9x - 4 = 0
9x + 4 = -8
11
Fill in the Blanks
Type answer...
Equivalent Equations
Objective: create and identify equivalent equations.
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