Using inverses to solve equations

Using inverses to solve equations

by Jamal Bogle

Multiple Choice

Which of these is NOT an expression?

• 4x + 3 = 10

• 4x

• 4x - 3

• 2

Multiple Choice

What is the coefficient in the expression 7 - 2x

• 7

• 2x

• -2x

• x

​Inverse Operations

Multiple Choice

What operation is the inverse of addition?

• Addition

• Subtraction

• Multiplication

• Division

Multiple Choice

What operation is inverse of division?

• Addition

• Subtraction

• Multiplication

• Division

Multiple Choice

What step would I need to make to solve the equation x - 5 = 10

• Add 5

• Subtract 5

• Multiply 5

• Divide 5

Multiple Choice

What steps would you use to solve the equation 2x - 5 = 10

• Divide 2, then add 5.

• Subtract 5, then divide 2.

• Add 5, then Divide 2.

• Add 5 then multiply 2.

Multiple Choice

What steps would you use to solve the equation $$\frac{2x\ -\ 5}{3}\ =\ 4$$  

• Add 5, Multiply 3, Divide 2.

• Add 5, Divide 2.

• Multiply 3, Subtract 5, Divide 2.

• Multiply 3, Add 5, Divide 2.

​Wait, what?!!?

​Stamp It!...

What would you say to someone if they wanted to know how to solve equations using inverse operations?

​

Whole Group Practice...

Multiple Choice

What's the first step I should do to solve for  $$x\ +\ 7\ =\ 10$$  ?

• Add 7

• Subtract 7

• Multiply 7

• Divide 7

Multiple Choice

x + 7 = 10

• 4

• -3

• 3

• 17

Multiple Choice

What's the first step I should do to solve for  $$-2x\ =\ 12$$  ?

• Add -2

• Divide 2

• Multiply -2

• Divide -2

Multiple Choice

$$-2x\ =\ 12$$  

• 6

• 14

• 10

• -6

Multiple Choice

What steps would you need to take in order to solve for  $$2x\ +\ 3\ =\ -7$$  

• Multiply by 2, then subtract 3.

• Subtract 3, then divide 2.

• Divide by 2, then subtract 3.

• Add 3, then divide by 2.

Multiple Choice

2x + 3 = -7

• x = -10

• x = 2

• x = -5

• x = 4

Multiple Choice

What steps would you need to take in order to solve for  $$-2x\ +\ 4\ =\ 16$$  ?

• Divide by -2, then add 4.

• Subtract 4, then divide -2.

• Divide 2, then subtract 4.

• Subtract 2, then divide 4.

Multiple Choice

$$-2x\ +\ 4\ =\ 16$$  

• x = -6

• x = 4

• x = -10

• x = 8

​Independent Practice...