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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.
Unit 1: Linear EquationsThis 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% = NDFTEveryone else = REWORK
RE-
ITEMS of BUSINESS
TEST NEXT TIME
ALL LATE/MISSING WORK DUE
REPORT
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
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
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
Fill in your PEMDAS FOLDABLE as we go . . .
EVALUATE
= 𝑢𝑠𝑒 𝑧=−2𝑎𝑛𝑑 𝑦=−1
MORE
*substitute the given values first
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
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
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
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
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
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
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
- 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
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
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
x + 2 = x - 8How many solutions?
x + 2 = - 8x + 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
Answ
ers2
5
6
7
10
11
14
16
17
19
21
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?
Unit 1Practice
Test
