2.1/2.2 Solve One-and Two-Step Equations

2.1- Solve One-Step Equations

2.2- Solve Two-Step Equations

Objectives

• To solve one-step equations in one variable

• To solve two-step equations in one variable

Subtraction Property of Equality

​Addition Property of Equality

Properties of Equality

Division Property of Equality

​Multiplication Property of Equality

Properties of Equality

Multiple Choice

What is your first step to solve $$x-3=2?$$

• Subtract 3 from both sides

• Add 3 to both sides

• Multiply both sides by 3

• Divide both sides by 3

Open Ended

Solve $$x+20=12$$ for $$x.$$

Multiple Choice

What is the reciprocal of $$\frac{2}{5}?$$

• 2

• 5

• $$\frac{5}{2}$$

• $$-\frac{5}{2}$$

Open Ended

Solve for $$d:$$

$$\frac{2}{5}d=15$$

Solving two-step equations:

Save the variable term for last

It's a little like doing PEMDAS in reverse. First undo the addition or subtraction, then undo the multiplication or division.

Example

Example

What if there's two terms in the numerator?

Multiple Choice

Solve for $$x:$$

$$15=\frac{x+5}{2}$$

• 17

• 5

• 25

• 10

Poll

Select the image that best represents how you feel about your skills at solving one- and two-step equations:

For the rest of your points today:

​Complete the remaining exercises on the notes handout