
Equivalent Equations
Presentation
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
Standards-aligned
Christopher Gassler
Used 23+ times
FREE Resource
11 Slides • 9 Questions
1
Objective: create and identify equivalent equations.
2
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
4 + 2 x 3 - 2 = 44 ÷ 2
2(x + 9) = 24 + 2x - 15
4
Multiple Select
Choose all the equivalent expressions.
12+12−3x=3(x+8)
8−3×3+5=10−12÷2
4x+12=4x+6+6
56÷7=4+3
5
Open Ended
Are these equivalent? 4x+12=4x+6+6 ...YES
Are they still equaivalent? 4x+12+3=4x+6+6+3 ...YES
Why?
6
Adding the same number to both sides of an equal sign makes an equivalent equation.
8 + 5 = 13
is equivalent to
8 + 5 + 4 = 13 + 4
7
Subtracting the same number from both sides of an equal sign makes an equivalent equation.
8 + 5 = 13
is equivalent to
8 + 5 - 4 = 13 - 4
8
If 5 is added to both sides what is the result?
3x - 15 = 32
9
Fill in the Blanks
If 7 is subtracted from both sides, what is the result?
4x+12=24
Type answer...
10
Fill in the Blanks
If 7 is subtracted from both sides, what is the result?
4x−12=−24
Type answer...
11
Dividing both sides of an equal sign by the same number makes an equivalent equation.
is equivalent to
10 + 6 = 16
and equivalent to
12
If you divide both sides by 3 what is the result?
3x - 15 = 30
13
Fill in the Blanks
If both sides are divided by 2, what is the result?
−80=4−18x
Type answer...
14
Which equations are equivalent to: 16 - 4x = 36
8 - 2x = 18
12 - x = 32
4 - x = 9
15
Multiple Select
Which equation(s) are equivalent to 7x - 14 = 21 ?
x - 2 = 3
7x - 20 = 15
7x - 14 = 21
16
Multiple Select
Which equations are equivalent to p−h=24 ?
2p−h=12
3p−h=6
−4p−h=−6
−1p−h=23
17
Multiplying both sides of an equal sign by the same number makes an equivalent equation.
is equivalent to
2x - 9 = 3
and simplifies to
4(2x - 9) = 3 x 4
8x - 36 = 12
18
If you multiply both sides by 3 what is the result?
8x - 1 = 4
19
Fill in the Blanks
If both sides are multiplied by 5, what is the result?
4+7x=−4
Type answer...
20
Multiple Select
Which equations are equivalent to 4 = 6 - 9x?
8=12−18x
20=30−45x
12=18−12x
2=4−7x
40=60−9x
Objective: create and identify equivalent equations.
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