1. DO NOW Copy down your homework: 2-1 Lesson check on page 85
Warm-up: Add these vocabulary words to your Ch. 2 vocabulary section
1. equivalent expressions
2. addition property of equality
3. subtraction property of equality
4. isolate
5. inverse
6. multiplication property of equality
7. division property of equality

2. Chapter 2 Section 1 Solving one-step equations

3. ? 2-1 Solving One-Step Equations 2/11/15
Table of contents
Page # topic date
? Solving One-Step Equations 2/11/15 1

5. Ch. 2 Vocabulary
Equivalent equations – equations that have the same solutions

6.
On the outside of the flaps…
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality

7. Properties of equality
Addition Property of Equality: If you add the same number to each side of an equation, the sides are still equal.
If a = b, then a + c = b + c
Example:
x – 3 = 2

8. Properties of equality
Subtraction Property of Equality: If you subtract the same number from each side of an equation, the sides are still equal.
If a = b, then a - c = b - c
Example:
x + 3 = 2

9. Properties of equality
Multiplication Property of Equality: If you multiply each side of an equation by the same number, the sides are still equal.
If a = b, then a • c = b • c
Example:
𝑥 3 =2

10. Properties of equality
Division Property of Equality: If you divide each side of an equation by the same number, the sides are still equal.
If a = b, then a ÷ c = b ÷ c
Example:
5𝑥=20

11. How to solve an equation
In order to solve an equation, you must isolate the variable.
Isolate: Using properties of equality and inverse operations to get a variable with a coefficient of 2 alone on one side of the equation.
In other words…. When you isolate a variable, you are getting it alone.

12. What are inverse operations?
Inverse Operations: Operations that undo one another. THESE ARE OPPOSITES!!
What can undo multiplication?
What can undo subtraction?
What can undo division?
What can undo addition?

13. What is the solution of x + 13 = 27?
Check your answer!!

14. In the last problem, why does subtracting 13 from both sides of the original equation result in an equivalent equation?

15. You try: What is the solution of y + 2 = -6? Check your answer!

16. What is the solution of -7 = b – 3 ?
Check your answer!!

17. You Try:
What is the solution of each equation? Check your answer.
𝑚 −8=− =𝑦 − 3 2

18. What is the solution of 4x = 6.4?
Check your answer!!

19. You Try: What is the solution of each equation? Check your answer.
10=15𝑥 −3.2𝑥=14

20. What is the solution of 𝑥 4 =−9?
Check your answer!!

21. You Try:
What is the solution of each equation? Check your answer.
19= 𝑟 𝑥 −9 =8

22. What is the solution of 4 5 𝑚=28?
Check your answer!!

23. Word problem
Toucans and blue-and-yellow macaws are both tropical birds. The length of an average toucan is about two thirds of the length of an average blue-and-yellow macaw. Toucans are about 24 in. long. What is the length of an average blue –and-yellow macaw?

24. You Try
An online DVD rental company offers gift certificates that you can use to purchase rental plans. You have a gift certificate for $30. The plan you select costs $5 per month. How many months can you purchase with the gift certificate?