prepare for my Unit 1 Test by making a 3x5 card and completing my Practice Test. Given the equation: 7x - 5 = 7x - 3, explain in words how you can tell just by looking at the equation that there is no solution Write down this problem on your READY RECALL SHEET Be prepared to explain your answer if you are called on.

Unit 1: Linear Equations This chapter will include some review from last year. Mostly, we will be solving equations – lots of equations! Unit 1 Review

Have your homework out on your desk.

100% = NDFT Everyone else = REWORK

ITEMS of BUSINESS TEST NEXT TIME ALL LATE/MISSING WORK DUE REPORT

Unit 1: Linear Equations This chapter will include some review from last year. Mostly, we will be solving equations – lots of equations! 1.1 Integers, PEMDAS, Evaluating Expressions

3(4) = 12 3(-4) = (4) = /4 = 3 -3(-4) = ÷-4 = 3

3 + 4 = = = = +5

Fill in your PEMDAS FOLDABLE as we go...

*substitute the given values first

Unit 1: Linear Equations This chapter will include some review from last year. Mostly, we will be solving equations – lots of equations! 1.2 Solving One and Two Step Equations

The goal is to isolate the Variable (Get the letter alone). -8 x = x = 7 -4 x = x = -28 x = Step 1: Simplify Both Sides Step 1: Simplify Both Sides Step 2: Move Variable to One Side Step 2: Move Variable to One Side Step 3: Isolate the Variable Term Step 3: Isolate the Variable Term Step 4: Isolate the Variable Step 4: Isolate the Variable

The goal is to isolate the Variable (Get the letter alone). +8 5x = X = 4 -6 x 3 = X = -30 Step 1: Simplify Both Sides Step 1: Simplify Both Sides Step 2: Move Variable to One Side Step 2: Move Variable to One Side Step 3: Isolate the Variable Term Step 3: Isolate the Variable Term Step 4: Isolate the Variable Step 4: Isolate the Variable

Unit 1: Linear Equations This chapter will include some review from last year. Mostly, we will be solving equations – lots of equations! 1.3 Distribution and Combining Like Terms

Distributive Property Multiply/Divide everything in the group by the number outside. = 14 = -6m + 15 = 2m + 1 Examples: 2(4 + 3) = 2 * * 3 = (2m – 5) = -3 * 2m - -3 * 5 4m = 4m

Combining Like Terms 1. Draw lines in front of each + or – to separate all the terms. 2. Color all like terms the same color. 3. Put each group of like terms together. 4. Simplify each group into one single term. Example: -5a – 2 + 3a – 4b + a – b + 1 – a -5a– 2+ 3a– 4b+ a– 12+ 6b+ 1- a -5a +3a + a - a -4b + 6b a + 2b - 13

Unit 1: Linear Equations This chapter will include some review from last year. Mostly, we will be solving equations – lots of equations! 1.4 – Muli-Step Equations

x +40 x Step 1: Simplify Both Sides Step 1: Simplify Both Sides Step 2: Move Variable to One Side Step 2: Move Variable to One Side Step 3: Isolate the Variable Term Step 3: Isolate the Variable Term Step 4: Isolate the Variable Step 4: Isolate the Variable x = x 3x - 5 = 43x - 5 = x = -43 x = -1 10x – 5 – 7x

Unit 1: Linear Equations This chapter will include some review from last year. Mostly, we will be solving equations – lots of equations! 1.5 Special Case Solutions

Only One Number Works All numbers can work. No possible number can work. 4x = 2x + 61x + 10 = 1x + 201x + 4 = 1x x 2x = 6 x = 3 Only one possible answer -1x 10 = 20 -1x 4 = 4 *All variables are eliminated *All variables are eliminated No Solution, the scale is not balanced. Infinite Solutions, the scale is balanced with any x FALSE TRUE CLUE

x + 2 = x - 8 How many solutions? x + 2 = - 8 x + 2 = x + 2

Do the CIRCLED PROBLEMS on the PRACTICE TEST. When you finish, you can work on the rest of the problems. Practice Test

Answers

11 possible Now, rework the ones you missed AND finish the rest of the practice test. -1 = 91% -2 = 82% -3 = 73% -4 = 64% -5 or more: F What’s your score?

SHOW YOUR WORK Unit 1 Practice Test