prepare for my unit 1 test by making a 3x5 card and completing my practice test. given the equation:...

prepare for my Unit 1 Testby making a 3x5 card and completingmy Practice Test.

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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