Unit 7 – Number Line/Absolute Value/Coordinate Plane/Inequalities

Remember that L is for:

Less

Left of the Number Line is Less

Less Than

Makes the less than sign <

Vocabulary

Integer (whole number positive or negative and 0). Ex: 2, -6, 0

Inequality ( Uses the >, <, > or < ) Ex: 1 < 3;

0.5 > -0.4

Rational Number (any number that can be rewritten as a fraction (includes, integers,

fractions, terminating decimals and repeating decimals).

Absolute Value is the distance from Zero.

Use Absolute Value bars.

Coordinate Pair (x, y)

I stay on top …

I go in …

I come first …

Unit 1 – Decimals/GCF & LCM/ Fractions

DECIMALS:

Add & Subtract – Line up the place values, add place holders, as needed, drop the

decimal.

Multiply & Divide – Count the place values, move the decimals.

Dividing Fractions

GCF & LCM

÷ 24 36

2 12 18

2 6 9

3 2 3

𝐺𝐶𝐹: 2𝑥2𝑥3 = 12 𝐿𝐶𝑀: 2𝑥2𝑥3𝑥2𝑥3 = 72

When is it a GCF When is it a LCM

problem? problem?

Splitting groups. It says ‘same time’.

‘greatest’ ‘least’

* Keep the

dividend the

same.

* Multiply by the

multiplicative

inverse of the

divisor.

* Multiply across.

÷ 24 36

2 12 18

2 6 9

3 2 3

Unit 6 - Statistics

Graphs: *Always use a regular number line for your graphs.*

Line Plot

Box & Whisker Plot

Minimum: Least value 3

LQ/Q1: Median of the lower half 4

Median: Put them in order, find the middle 7

UQ/Q3: Median of the upper half 8

Maximum: Greatest value 15

Interquartile Range (IQR): Q3 – Q1 4 8 – 4 = 4

Choosing the best number to describe your data?

Is there an outlier?

Yes: Use Median & IQR

No: Use Mean & MAD

3, 4, 5, 7, 7, 8, 15

3, 4, 5, 7, 7, 8, 15

3, 4, 5, 7, 7, 8, 15

3, 4, 5, 7, 7, 8, 15

3, 4, 5, 7, 7, 8, 15

Measures of Variation (Range, IQR, MAD)

RANGE: Maximum - Minimum. 15 – 3 = 12

IQR: Reference above.

MAD: The average of the absolute value of the differences

between each number in the data set and the mean of the

data set.

(|𝟕 − 3| + |𝟕 − 4| + |𝟕 − 5| + |𝟕 − 7| + |𝟕 − 7| + |𝟕 − 8| + |𝟕 − 15|)

7

(4+3+2+0+0+1+8)

7 =

18

7 = ≈ 2.571

Measures of Center

(Mean, Median, Mode)

MEAN: Add all & divide by the

amount of numbers you have.

(7 + 4 + 3 + 5 + 7 + 8 + 15)

7=

49

7= 7

MEDIAN: Reference above.

MODE: Appears the most: 7

Unit 2 – Ratios & Unit Rates/Percent

Three ways to write a ratio: Two types of ratios:

‘Per’ is a key

word for unit

rate!

Solving Proportions (equal ratios)

1) Identify what is being

compared.

2) Write a ‘word ratio.’

3) Plug in the values given in

the proportion.

4) Solve for the missing value.

The ratio of girls to boys who participated in the music

contest was 6:5. There were 72 girls. How many boys

participated?

𝑤𝑜𝑟𝑑 𝑟𝑎𝑡𝑖𝑜 𝒑𝒍𝒖𝒈 𝒊𝒏 𝑠𝑜𝑙𝑣𝑒

𝑔𝑖𝑟𝑙𝑠

𝑏𝑜𝑦𝑠 =

𝟔

𝟓 =

72

𝒙

Unit 3 – Expressions/Order of Operations

Algebraic Properties

Remember:

Less than, More than & Fewer than

Means you have to switch the terms.

3 fewer than 8 means

8 – 3 not 3 - 8

Unit 4 – Equations & Inequalities/Inverse Operations

x y

0 0

1 1

2 2

3 3

Open

Circle

Closed

Circle

< >

≤

≥ =

The shading does not

represent the direction of

the sign.

It represents all of the

values of the variable (x).

Graphing Solutions

*Height is ALWAYS perpendicular.

Unit 5 – Area & Volume/ Composite Figures/Nets

Nets

1. Use the appropriate formula

to find the area of each shape.

2. Add.

Area of Composite Figures

Separate figure into basic shapes.

Figure out the length of each side.

Find the area of each shape & add.