Inverse Operation
Properties of Equality
Output and Input
Finding the value of x
Solving for x when there's variables on both sides.
100

What is inverse operation?

Two operations that undo each other.

100

What is the addition property of equality.

Adding the same number to each side of an equation will make the equation equal.

100

What is the output x or y?

y

100

If a square has the perimeter of 24, what is x when each side is equal to 2x.

x=3.

100

What does c equal when 4c+15=9c?

c=3

200

What would be the inverse operation of subtraction?

Addition.

200

What is the subtraction property of equality.

Subtracting the same number to each side of an equation will make the equation equal.

200
What is the input? x or y?

x

200

If a square has a perimeter of 40 and two sides have the equation "4x" and the other two sides have the equations "5x-5", what does x equal?

x=5

200

What does x equal when 14-8x=-1x?

x=2

300

What would be the inverse operation of -3?

Adding 3.

300

What is the multiplication property of equality.

Multiplying each side of an equation by the same nonzero number will make the equation equal.

300

I bought 2 candy bars(input) for every 6 packs of gum(output) for my candy business. How many gum packs did I buy when I bought 8 candy bars?

24 gum packs.

300

If a rectangle has a perimeter of 36, what is the value of x when the two vertical lines equal 2x and the two horizontal lines equal 7x?

x=2

300

Solve for x,

 5(2x-2)=2(2x+7)

x=4

400
What would be the inverse operation of division?

Multiplication.

400

What is the division property of equality.

Divide each side of an equation by the same nonzero number to make the equation equal.

400

For every 5 apples, my mom bought 4 more tiny chili peppers than 4 times the apples. If my mom bought 33 chili peppers, how many apples did she buy?

My mom bought 7 apples.

400

If a rectangle has a perimeter of 54, what does x equal when the two vertical lines equal 3x-3 and the two horizontal lines equal 6x+3.

x=3

400

Solve for x,

3(-4x-12)=4(2x+1)

x=-2

500

What would be the inverse operation for "x divided by 3"?

Multiply 3 by both sides.

500

What property of equality would you use while solving 5x=25?

Division Property of Equality.

500

My sister has 9 less blue rubber bands than 3 times the amount of pink rubber bands. If she has 27 blue rubber bands, how many pink rubber bands does she have?

12 pink rubber bands.

500

If a square has a perimeter of 32, what does x equal when two sides equal 3x-6 and the other two sides equal 2x-13?

x=-7

500

Solve for x,

4(5x-6)=6(3x+8)

x=36