One-Step Equations

One-Step Equations

by Ms Tout

Warm-Up​

​

Multiple Choice

Does the solution m = 5 make the equation below true:

6 (m) = 30

• Yes

• No

Multiple Choice

Does the solution m = 5 make the equation below true:

16 - m = 21

• Yes

• No

Multiple Choice

Does the solution m = 5 make the equation below true:

2 (m) + 1 = 12

• Yes

• No

​Inverse Operations

Write these down in your Journal

​

• ​Adding --> Subtracting

• ​Subtracting --> Adding

• ​Multiplying --> Dividing

• ​Dividing --> Multiplying

Multiple Choice

What what is the inverse operation of subtraction?

• addition

• subtraction

• multiplication

• division

Multiple Choice

What what is the inverse operation of addition?

• addition

• subtraction

• multiplication

• division

Multiple Choice

What is the inverse operation of division?

• Division

• Multiplication

• Addition

• Subtraction

Multiple Choice

What is the inverse operation of multiplication?

• Division

• Multiplication

• Addition

• Subtraction

​Solving Equations

• ​You want to get the variable by itself.

• ​What you do to one side of the equation you MUST do to the other side.

If you want to watch this lesson: https://www.youtube.com/watch?v=L0_K89UJfJY​

Multiple Choice

What do we need to do when solving equations?

• Get the highest number

• Have a panic attack

• Get the coefficient by itself

• Get the variable by itself on one side

​Adding One-Step

• ​When you have an ADDITION equation your inverse is:

  • ​Subtraction

• ​Subtract the constant [14] from both sides

• ​20 - 14 = 6

• ​Your final answer is y=6

​Write this in your Journal

Multiple Choice

Solve the equation:  x + 7 = 12

• x = 5

• x = 19

• x = -5

• x = 84

Multiple Choice

r + 20 = 27

• r = 7

• r = 47

• r = 13

• r = 20

​Subtraction One-Step

• ​When you have a SUBTRACTION equation your inverse is:

  • ​Addition

• Add the constant [120] to both sides

• 80 + 120 = 200

• ​Your final answer is x = 200

​Write this in your Journal

Multiple Choice

Solve the equation: x - 4 = 6

• x = 10

• x = -10

• x = 2

• x = -2

Multiple Choice

x - 12 = 2

• 24

• 10

• 20

• 14

​Multiplying One-Step

• ​When you have a MULTIPLICATION equation your inverse is:

  • ​Division

• Divide the Coefficient on both sides

• 3/3 = 1/1 = 1

• ​12/3 = 4

• ​Your final answer is n = 4

​Write this in your Journal

Multiple Choice

Solve the equation:

2p = 16

• p = 32

• p = 12

• p = 18

• p = 8

Multiple Choice

Solve the equation: 4p = 16

• p = 12

• p = -12

• p = -4

• p = 4

​Dividing One-Step

• ​When you have a DIVISION equation your inverse is:

  • ​Multiplication

• Multiply the denominator on both sides

• 2 x (k/2) = 2k/2 = 2/2 = 1/1 = 1k = k

• ​16 x 2 = 32

• ​Your final answer is n = 32

​Write this in your Journal

Multiple Choice

Solve for x:

• x = 20

• x = 7

• x = 10

• x = 3

Multiple Choice

Solve for x: $$\frac{x}{5}=20$$  

• 100

• 120

• 4

• 5

Multiple Choice

Solve the following equation

x + 8 = 15

• x = 23

• x = 22

• x = 7

• x = 6

Multiple Choice

Solve the following equation

8 = m - 12

• x = 2

• x = 4

• x = 5

• x = 20

Multiple Choice

Solve the following equation

2y = 18

• y = 36

• y = 16

• y = 9

• y = 20

Multiple Choice

Solve the following equation

14m = 28

• m = 2

• m = 14

• m = 32

• $$m\ =\ \frac{1}{2}$$

Multiple Choice

Solve the following equation $$c\ \div4\ =\ 4$$  

• $$c\ =\ \frac{1}{4}$$  

• c = 8

• c = 1

• c = 16

Multiple Choice

Solve the equation:  x + 7 = 12

• x = 5

• x = 19

• x = -5

• x = 84