Summer Review

Real Number System

100

Positive and negative whole numbers

Integers

200

A type of numbers that can be written as a fraction

Rational Numbers

300

Numbers that cannot be written as a fraction

Irrational Numbers

400

Write an example of an irrational number

Answers will vary

500

How many subsets are there in Rational Numbers? List them

3 subsets: Integers, Whole Numbers, and Natural Numbers

Distributive Property

100

What is the distributive property?

Multiplying the term DIRECTLY in front of parentheses to every term inside parentheses.

200

Simplify the following expression:

2 ( x + 5)

2x + 10

300

Simplify the expression:

5(4n - 3)

20n - 15

400

Simplify:

10(3x + 12 - 7x)

30x + 120 - 70x²

500

Simplify:

1 + 7(1 - 3x)

-21x + 8  or 8 - 21x

Distributing a Negative

100

What do we need to be mindful of when distributing a negative?

Signs of the terms inside the parentheses

200

-7(4x + 2)

-28x -14

300

What happens when you multiply two negatives?

Answer is positive

400

-(-3x + 10)

3x - 10

500

-4x(2x + 8)

-8x² - 32x

Simplifying Expressions

100

Simplify:

2x + 3 + 5x + 6

7x + 9

200

Simplify:

5c - 4c + c + 6b + 3b

9b + 2c     or    2c + 9b

300

True or False: You do 3 + 4 first to simplify this expression.

3 + 4(2n - 5)

False. Distribute the 4 first

400

-10x - 10(5x + 11)

-60x - 110

500

Simplify:

2(x - 3x) - 6x(5x - 8)

- 30x² + 44

Vocab

100

A letter representing an unknown value

Variable

200

A number by itself (no variable)

Constant

300

Number being multiplied by a variable

Coefficient

400

Small number to the upper right corner of a number or variable

ex. )  the two in x²

Exponent or power

500

Terms with the same variables and same exponents

Like Terms