1. Mixed One-Step Equations
Lesson 18
Introductory Algebra
Mixed One-Step Equations

2. Warm-Up Write and solve an equation for each sentence.
The sum of fourteen and y is thirty-two.
The product of three and x is twelve.
The number g decreased by one-hundred is ten.

3. Mixed One-Step Equations
Target:
Solve a variety of one-step equations.

5. Solving Equations Using Inverse Operations
Addition Equations: Use Subtraction
Subtraction Equations: Use Addition
Multiplication Equations: Use Division
Division Equations: Use Multiplication

6. Example 1a
Write an algebraic equation for the sentence. Solve the equation. The sum of a number x and seven is thirty-two. x + 7 = 32 – 7 – 7 x = 25

7. Example 1b
Write an algebraic equation for the sentence. Solve the equation. A number y divided by four is thirteen.

8. Example 1c
Write an algebraic equation for the sentence. Solve the equation. Ten less than a number b is twenty-five. b – 10 = b = 35

9. Example 1d
Write an algebraic equation for the sentence. Solve the equation. The product of a number p and eight is twenty. 8p = p = 2.5

10. Exit Problems Solve each equation. Show all work and check your
solution.
7x = 70
9 =
a – 2 = 3
z = 2452

11. Communication Prompt
Why is it important to show your work and check your
solution when solving an equation?