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![Page 1: 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.](https://reader036.fdocuments.net/reader036/viewer/2022062802/56649ea05503460f94ba3374/html5/thumbnails/1.jpg)
prepare for my Unit 1 Testby making a 3x5 card and completingmy Practice Test.
i-can
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 SHEETBe prepared to explain your answer
if you are called on.
![Page 2: 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.](https://reader036.fdocuments.net/reader036/viewer/2022062802/56649ea05503460f94ba3374/html5/thumbnails/2.jpg)
Unit 1: Linear EquationsThis chapter will include some review from last year. Mostly, we will be solving equations – lots of equations!
Unit 1 Review
![Page 3: 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.](https://reader036.fdocuments.net/reader036/viewer/2022062802/56649ea05503460f94ba3374/html5/thumbnails/3.jpg)
Have your homework out on your desk.
![Page 4: 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.](https://reader036.fdocuments.net/reader036/viewer/2022062802/56649ea05503460f94ba3374/html5/thumbnails/4.jpg)
100% = NDFTEveryone else = REWORK
RE-
![Page 5: 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.](https://reader036.fdocuments.net/reader036/viewer/2022062802/56649ea05503460f94ba3374/html5/thumbnails/5.jpg)
ITEMS of BUSINESS
TEST NEXT TIME
ALL LATE/MISSING WORK DUE
REPORT
![Page 6: 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.](https://reader036.fdocuments.net/reader036/viewer/2022062802/56649ea05503460f94ba3374/html5/thumbnails/6.jpg)
Unit 1: Linear EquationsThis chapter will include some review from last year. Mostly, we will be solving equations – lots of equations!
1.1 Integers, PEMDAS, Evaluating Expressions
![Page 7: 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.](https://reader036.fdocuments.net/reader036/viewer/2022062802/56649ea05503460f94ba3374/html5/thumbnails/7.jpg)
RULES for MULTIPLYING/DIVIDING Integers
If SAME signs
3(4) = 12
If DIFF signs
answer
3(-4) = -12 -3(4) = -12 12/4 = 3
-3(-4) = 12-12÷-4 = 3
12/-4 = -3 -124 = -3
POSITVE answer
NEGATIVE
![Page 8: 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.](https://reader036.fdocuments.net/reader036/viewer/2022062802/56649ea05503460f94ba3374/html5/thumbnails/8.jpg)
If SAME signs
3 + 4 = 7-3 + -4 = -7
answer takes the
SAME sign
If DIFF signs
-9 + 4 = -59 + -4 = +5
answer takes the sign of the
HEAVIER
number
RULES for COMBINING Integers
![Page 9: 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.](https://reader036.fdocuments.net/reader036/viewer/2022062802/56649ea05503460f94ba3374/html5/thumbnails/9.jpg)
Fill in your PEMDAS FOLDABLE as we go . . .
![Page 10: 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.](https://reader036.fdocuments.net/reader036/viewer/2022062802/56649ea05503460f94ba3374/html5/thumbnails/10.jpg)
EVALUATE
= 𝑢𝑠𝑒 𝑧=−2𝑎𝑛𝑑 𝑦=−1
MORE
*substitute the given values first
![Page 11: 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.](https://reader036.fdocuments.net/reader036/viewer/2022062802/56649ea05503460f94ba3374/html5/thumbnails/11.jpg)
Unit 1: Linear EquationsThis 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
![Page 12: 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.](https://reader036.fdocuments.net/reader036/viewer/2022062802/56649ea05503460f94ba3374/html5/thumbnails/12.jpg)
The goal is to isolate the Variable (Get the letter alone).
-8 -8x = -5
+ 5 + 5 x = 7
-4 -4x = -5
7 7
x = -28
x = 18
32
32
Step 1:Simplify Both Sides
Step 2:Move Variable to
One Side
Step 3:Isolate the
Variable Term
Step 4:Isolate the Variable
![Page 13: 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.](https://reader036.fdocuments.net/reader036/viewer/2022062802/56649ea05503460f94ba3374/html5/thumbnails/13.jpg)
The goal is to isolate the Variable (Get the letter alone).
+8 +8 5x = 205 5
X = 4
-6 -6x3 = -103 3
X = -30
Step 1:Simplify Both Sides
Step 2:Move Variable to
One Side
Step 3:Isolate the
Variable Term
Step 4:Isolate the Variable
![Page 14: 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.](https://reader036.fdocuments.net/reader036/viewer/2022062802/56649ea05503460f94ba3374/html5/thumbnails/14.jpg)
Unit 1: Linear EquationsThis chapter will include some review from last year. Mostly, we will be solving equations – lots of equations!
1.3 Distribution and Combining Like Terms
![Page 15: 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.](https://reader036.fdocuments.net/reader036/viewer/2022062802/56649ea05503460f94ba3374/html5/thumbnails/15.jpg)
Distributive PropertyMultiply/Divide
everything in the group by the number outside.
= 14
= -6m + 15
= 2m + 1
Examples:
2(4 + 3) = 2 * 4 + 2 * 3= 8 + 6
-3(2m – 5) = -3 * 2m - -3 * 5
4m + 2 2
= 4m + 2 2 2
![Page 16: 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.](https://reader036.fdocuments.net/reader036/viewer/2022062802/56649ea05503460f94ba3374/html5/thumbnails/16.jpg)
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 – 12 + 6b + 1 – a
-5a – 2 + 3a
– 4b + a
– 12 + 6b
+ 1
- a
-5a +3a + a - a
-4b + 6b
-2 -12 +1
-2a + 2b - 13
![Page 17: 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.](https://reader036.fdocuments.net/reader036/viewer/2022062802/56649ea05503460f94ba3374/html5/thumbnails/17.jpg)
Unit 1: Linear EquationsThis chapter will include some review from last year. Mostly, we will be solving equations – lots of equations!
1.4 – Muli-Step Equations
![Page 18: 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.](https://reader036.fdocuments.net/reader036/viewer/2022062802/56649ea05503460f94ba3374/html5/thumbnails/18.jpg)
- 48 - 40x
+40x
Step 1:Simplify Both Sides
Step 2:Move Variable to
One Side
Step 3:Isolate the
Variable Term
Step 4:Isolate the Variable
43 43
+40x
= - 48 - 40x
3x - 5 =
43x - 5 = - 48
+5+5
43x = -43
x = -1
10x – 5 – 7x
![Page 19: 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.](https://reader036.fdocuments.net/reader036/viewer/2022062802/56649ea05503460f94ba3374/html5/thumbnails/19.jpg)
Unit 1: Linear EquationsThis chapter will include some review from last year. Mostly, we will be solving equations – lots of equations!
1.5 Special Case Solutions
![Page 20: 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.](https://reader036.fdocuments.net/reader036/viewer/2022062802/56649ea05503460f94ba3374/html5/thumbnails/20.jpg)
Only One Number Works All numbers can work.No possible number can work.
4x = 2x + 6 1x + 10 = 1x + 20 1x + 4 = 1x + 4-2x -2x2x = 6
x = 3
Only one possible answer
-1x -1x10 = 20
-1x -1x4 = 4
*All variables areeliminated
*All variables areeliminated
No Solution, the scaleis not balanced.
Infinite Solutions,the scale is balanced
with any x.
6 1020 4 4
33
FALSE TRUECLUE CLUE
![Page 21: 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.](https://reader036.fdocuments.net/reader036/viewer/2022062802/56649ea05503460f94ba3374/html5/thumbnails/21.jpg)
x + 2 = x - 8How many solutions?
x + 2 = - 8x + 2 = x + 2
![Page 22: 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.](https://reader036.fdocuments.net/reader036/viewer/2022062802/56649ea05503460f94ba3374/html5/thumbnails/22.jpg)
Do the CIRCLED PROBLEMS on the PRACTICE TEST. When you finish, you can work on the rest of the problems.
Practice Test
![Page 23: 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.](https://reader036.fdocuments.net/reader036/viewer/2022062802/56649ea05503460f94ba3374/html5/thumbnails/23.jpg)
Answ
ers2
5
6
7
10
11
14
16
17
19
21
![Page 24: 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.](https://reader036.fdocuments.net/reader036/viewer/2022062802/56649ea05503460f94ba3374/html5/thumbnails/24.jpg)
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?
![Page 25: 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.](https://reader036.fdocuments.net/reader036/viewer/2022062802/56649ea05503460f94ba3374/html5/thumbnails/25.jpg)
Unit 1Practice
Test