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

Chapter 2 Section 1 Solving one-step equations

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

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

https://www.youtube.com/watch?v=kqR6l-A2quA On the outside of the flaps… Addition Property of Equality Subtraction Property of Equality Multiplication Property of Equality Division Property of Equality

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

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

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

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

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.

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?

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

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

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

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

You Try: What is the solution of each equation? Check your answer. 𝑚 −8=−14 1 2 =𝑦 − 3 2

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

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

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

You Try: What is the solution of each equation? Check your answer. 19= 𝑟 3 𝑥 −9 =8

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

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?

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?