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Write down this problem on your READY RECALL SHEET Be prepared to explain your answer if you are called on. 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. i -can.
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Write down this problem on your READY RECALL SHEET Be prepared to explain your answer if you are called on. 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 i-can prepare for my Unit 1 Test by making a 3x5 card and completing my Practice Test.
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 RE-
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
RULES for MULTIPLYING/DIVIDING Integers If SAME signs If DIFF signs NEGATIVE POSITVE answer answer 3(-4) = -12 -3(4) = -12 3(4) = 12 12/4 = 3 -3(-4) = 12 -12÷-4 = 3 12/-4 = -3 -124 = -3
RULES for COMBININGIntegers If DIFFsigns If SAME signs answer takes the sign of the HEAVIERnumber answer takes the SAMEsign 3 + 4 = 7 -3 + -4 = -7 -9 + 4 = -5 9 + -4 = +5
MORE EVALUATE *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). + 5 + 5 -8 -8 Step 1: Simplify Both Sides • x = 7 • x = -5 Step 2: Move Variable to One Side 7 7 -4 -4 • x = -28 • x = -5 Step 3: Isolate the Variable Term • 3 • 2 • 3 • 2 Step 4: • Isolate the Variable • x = 18
The goal is to isolate the Variable (Get the letter alone). +8 +8 Step 1: Simplify Both Sides 5x = 20 5 5 Step 2: Move Variable to One Side X = 4 Step 3: Isolate the Variable Term -6 -6 x 3 = -10 3 3 Step 4: • Isolate the Variable X = -30
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
Examples: = 2 * 4 + 2 * 3 2(4 + 3) Distributive Property = 8 + 6 = 14 Multiply/Divide everything in the group by the number outside. -3(2m – 5) = -3 * 2m - -3 * 5 = -6m + 15 4m + 2 2 = 4m+ 2 2 2 = 2m + 1
Combining Like Terms Example: 1. Draw lines in front of each + or – to separate all the terms. -5a – 2 + 3a – 4b + a – 12 + 6b + 1 – a 2. Color all like terms the same color. -5a – 2 + 3a – 4b + a – 12 + 6b + 1 - a -5a +3a + a - a 3. Put each group of like terms together. -4b + 6b -2 -12 +1 4. Simplify each group into one single term. -2a + 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
Step 1: Simplify Both Sides 10x – 5 – 7x = - 48 - 40x - 48 - 40x 3x - 5 = Step 2: Move Variable to One Side +40x +40x 43x - 5 = - 48 Step 3: Isolate the Variable Term +5 +5 43x = -43 43 43 Step 4: • Isolate the Variable x = -1
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
No possible number can work. Only One Number Works All numbers can work. 4x = 2x + 6 1x + 10 = 1x + 20 1x + 4 = 1x + 4 -2x -2x -1x -1x -1x -1x 2x = 6 10 = 20 4 = 4 TRUE FALSE CLUE CLUE *All variables are eliminated *All variables are eliminated 3 x = 3 10 3 6 4 4 20 Infinite Solutions, the scale is balanced with any x. No Solution, the scale is not balanced. Only one possible answer
How many solutions? x + 2 = x - 8 x + 2 = x + 2 x + 2 = - 8
Practice Test Do the CIRCLED PROBLEMS on the PRACTICE TEST. When you finish, you can work on the rest of the problems.
2 10 Answers 17 11 5 19 14 6 21 16 7
What’s your score? 11 possible -1 = 91% -2 = 82% -3 = 73% -4 = 64% -5 or more: F Now, rework the ones you missed AND finish the rest of the practice test.
Unit 1 Practice Test SHOW YOUR WORK