Lesson: Solving One-Step Equations

Multiple Choice

Do you have your notebook out and ready to take notes? ​

(you will need to take a picture and upload it at the end)

• YES, I have my notebook out, I mean, I want to learn and be successful.

• Uh...No, and I know it means a bad grade, I have accepted my fate.

Solving One-Step Equations

Objective: Solve one-step equations

Math Response

What number should go in the box to make the statement true?

8 = 🔲 + 5

Type answer here

Correct Answer: 3

Deg^°

Rad

​A variable is just the grown-up way of using a box.

​8 = 🔲+ 5
8 = x + 5

​A solution is a number that can be plugged in for the variable to make a true number statement.

​8 = 3 + 5
8 = 8

Open Ended

When you see the problem: 188 = x + 55 what math are you going to do to figure out what x is?

SUBTRACTION PROPERTY OF EQUALITY

​Subtracting the same number from both sides of an equal sign makes an equivalent equation.

subtract 3 from both sides

subtract 7 from both sides

​6 = 6

5 + 9 = 14

SUBTRACTION PROPERTY OF EQUALITY

​Subtracting the same number from both sides of an equal sign makes an equivalent equation.

​x + 10 = 18

​x + 10 - 3 = 18 - 3
x + 7 = 15

​what does x equal?

​what does x equal?

subtract 3 from both sides

EXAMPLES

​Solve for x.
x + 10 = 18

​23 = x + 4

​9 = 15 + x

Dropdown

To solve the equation: -5 = c + 7, you would ​

Select answer

both sides and find that c = ​

Select answer

.

Multiple Choice

Given the equation: 15 = w - 6, what would you do to both sides to get w by itself?

• Subtract 6 from both sides

• Add 6 to both sides

• Add 15 to both sides

• Subtract 15 from both sides

• Divide both sides by -6

​ADDITION PROPERTY OF EQUALITY

​Adding the same number to both sides of an equal sign makes an equivalent equation.

add 3 to both sides

​6 = 6

​x - 2 = 5

​12 = x - 4

EXAMPLES

​Solve for x.
x - 10 = 8

​14 = x - 33

​-11 = -15 + x

Multiple Choice

Given the equation: -9b = -14, what would you do to both sides to get b by itself?

• Add 9 to both sides

• Divide both sides by 9

• Add 14 to both sides

• Subtract 14 from both sides

• Divide both sides by -9

​DIVISION PROPERTY OF EQUALITY

Dividing both sides of an equal sign by the same number makes an equivalent equation.

​2x = 8
2 ⋅ x = 8
2 ⋅ 🔲 = 8

​91 = 7x

​EXAMPLES

​11 = 4x

Match

Match the following equations with the property you would used to solve them.

• x + 3 = 9

• 12 = x - 5

• -3x = 27

Subtraction Property of Equality

Addition Property of Equality

Division Property of Equality

• Subtraction Property of Equality

• Addition Property of Equality

• Division Property of Equality