Equivalent Equations (part 2)
Presentation
•
Mathematics
•
9th Grade
•
Hard
Standards-aligned
Christopher Gassler
Used 8+ times
FREE Resource
9 Slides • 6 Questions
1
Equivalent Equations
Objective: create and identify equivalent equations.
2
Multiple Select
Choose all the equivalent expressions.
12 + 12 - 3x = 3(x + 8)
8 - 3 × 3 + 10 = 50 ÷ 2
4x + 12 = 6 + 4x + 6
7 - 56 ÷ 7 = -4 + 3
3
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
4
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
5
DIVISION PROPERTY OF EQUALITY
Dividing both sides of an equal sign by the same number makes an equivalent equation.
is equivalent to
x + 6 = 16
is equivalent to
2x - 4 = 20
or
6
EXAMPLE
If you divide both sides by 3 what is the result?
3x - 15 = 30
7
Fill in the Blanks
Type answer...
8
EXAMPLE
Which equations are equivalent to: 16 - 4x = 36
8 - 2x = 18
12 - x = 32
4 - x = 9
9
Multiple Select
Which equation(s) are equivalent to 7x - 14 = 21 ?
x - 2 = 3
7x - 20 = 15
7x - 18 = 25
10
EXAMPLE
Given the equation: 12 = x - y
If you divide both sides by 3 what is the result?
If you divide both sides by 6 what is the result?
11
Multiple Select
Which equations are equivalent to p−h=24 ?
2p−h=12
3p−h=6
−4p−h=−6
−1p−h=23
12
MULTIPLICATION PROPERTY OF EQUALITY
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
13
EXAMPLE
If you multiply both sides by -3 what is the result?
8x - 1 = 4
14
Fill in the Blanks
Type answer...
15
Multiple Select
Which equations are equivalent to 4 = 6 - 9x?
20 = 30 - 45x
12 = 18 - 27x
2 = 3 - 4x
40 = 60 - 9x
Equivalent Equations
Objective: create and identify equivalent equations.
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