Pre Algebra Review

Solving for x

100

4x = 16

4

100

x² = 64

x= 8        x= -8

100

2(x+4) = 10

1

100

4(x-3) = 5(x+2)

-22

100

x(x+2)=8

x= 2      x= -4

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; little number = index

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

100

Rewrite 9⁴ in expanded form

9 x 9 x 9 x 9

100

How can you rewrite the following in exponential form?

7 x 7 x 7 x 7 x 7 

7⁵

100

What is the value of:

8⁴

4096

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

100

What is the value of:

2³ + 3² - 4²

1

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

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

100

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

100

3 + 4² * (3 + 2)

83

100

45

100

30

Adding Integers

100

-4 + -5 + -165

 -174

100

14 + -12 + 12 - 10 + 9 + 3 + 3(0)

16

100

-10 + 15 - 9²

-76

100

-2 + 2(-3 + 5)

4

100

2³ + 3² - 4² +1³ - 3²

-7

Distributive Property

100

8(4+2) = ?

48

100

5(x-3)

5x-15

100

7+9(2x-3)

18x-20

100

-3(-x-10)

3x+30

100

-4y(2x - 28y) 

-8xy+112y²