Pre-Algebra

Expressions

100

What is the mathematical expression for:

a number increased by 12

x + 12

200

What is the mathematical expression for: 

6 divided by a number

6/x

300

Translate the symbols back into words:

h - 5

5 less than a number

A number decreased by 5

A number minus 5

400

Write the mathematical expression for:

6 added to a number then the total multiplied by 8

8(n + 6)

500

Translate the following back into words:

n + 6/3

The sum of a number increased by 6, then divided by 3

Exponents

100

When you see the following expression, what is the big number called and what is the little number on top of it called?

2⁴

Big number - base number

little number - exponent or power

https://www.khanacademy.org/math/pre-algebra/pre-algebra-exponents-radicals/pre-algebra-exponents/v/introduction-to-exponents

200

How can you rewrite 9² in expanded form?

9 x 9

300

How can you rewrite the following in exponential form?

7 x 7 x 7 x 7 x 7 

7⁵

400

Simplify and write with positive exponents:

2³ x 2⁴

2⁷

500

Simplify and write with positive exponents:

(3x²)³

27x⁶

Order of Operations

100

Simplify the following expression:

62

https://www.khanacademy.org/math/pre-algebra/pre-algebra-arith-prop/pre-algebra-order-of-operations/v/introduction-to-order-of-operations

200

Simplify the following expression:

5

https://www.khanacademy.org/math/pre-algebra/pre-algebra-arith-prop/pre-algebra-order-of-operations/v/introduction-to-order-of-operations

300

3 + 4² * (3 + 2)

83

400

45

500

12

Distributive Property

100

8(4+2) = ?

48

200

5(x - 3)

5x - 15

300

7 + 9(2x - 3)

18x - 20

400

-3(-x - 10)

3x + 30

500

x + 10 - 6(x - 3x) + 4

13x + 14

Adding Like Terms

100

Simplify: 

2x + 8x=

10x

200

Simplify: 

4x + 2x -8x

-2x

300

Simplify: 

-3x + 2x +5 -2

-x + 3

400

Simplify: 

-4x +2x -6 +3

-2x-3

500

Simplify: 

-2(x + 4) + 5x

-8 + 3x