E-Learning, Thursday 2/23

​E-Learning, 2/23: Exponent Review

​2⁴ = 2⋅2⋅2⋅2 = 16 (not 2⋅4 = 8!)

(-2)⁴ = -2⋅-2⋅-2⋅-2 = 16

-2⁴ = -2⋅2⋅2⋅2 = -16

** Be careful when there are parentheses and/or negatives!

Multiple Choice

Which is the correct expanded form for: -3⁴

• -3⋅-3⋅-3⋅-3

• 3⋅3⋅3⋅3

• -3⋅3⋅3⋅3

• -3⋅4

Multiple Choice

Which is the correct expanded form for: 4³

• 3⋅3⋅3⋅3

• 4⋅4⋅4

• 4⋅4⋅4⋅4

• 4⋅3

Multiple Choice

Which is the correct expanded form for: (-2)³

• -2⋅2⋅2

• -3⋅3

• -2⋅3

• -2⋅-2⋅-2

Multiple Choice

Which is the correct expanded form for: (b)⁵

• 5⋅5⋅5⋅5⋅5

• b⋅b⋅b⋅b⋅b⋅b⋅b

• b⋅b⋅b⋅b⋅b

• 5⋅b

Multiple Choice

Which is the correct expanded form for: (-x)⁴

• -x⋅x⋅x⋅x

• -x⋅-x⋅-x⋅-x

• -4⋅x

• -4⋅-4⋅-4⋅-4

Multiple Choice

Which is the correct expanded form for: -x⁴

• -x⋅x⋅x⋅x

• -x⋅-x⋅-x⋅-x

• -4⋅x

• -4⋅-4⋅-4⋅-4

​Combining Like Terms:

​Distributive Property:

​For: 2x + 4 - 5x + 16

2x - 5x = -3x

4 + 16 = 20

So, 2x + 4 - 5x + 16 simplifies to...

-3x + 20

​2(3x - 5) = 2(3x) + 2(-5) = 6x - 10

-3(4x - 7) = -3(4x) + -3(-7) = -12x + 21

Multiple Choice

Simplify the expression by combining like terms:

4x + 7 + 8x - 3

• 11x - 5

• 12x + 10

• 12x + 4

• 4x + 4

Multiple Choice

Simplify the expression by combining like terms:

-7x - 3 - 5x - 8

• -12x - 5

• -2x - 5

• -2x -11

• -12x - 11

Multiple Choice

Simplify the expression by combining like terms:

2x - 5 + 3x + 5

• 5x - 10

• 5x

• 6x

• 6x + 10

Multiple Choice

Simplify the expression by combining like terms:

3x - 7 - x + 8 + 3

• 2x + 4

• 3x + 4

• 2x + 1

• 5x + 1

Multiple Choice

Simplify the expression by using the distributive property:

3(x - 6)

• 3x - 6

• -3x

• 3x - 18

• 5x + 1

Multiple Choice

Simplify the expression by using the distributive property:

-4(2x + 5)

• -8x + 5

• -8x + 20

• -2x - 9

• -8x - 20

Multiple Choice

Simplify the expression:

2x + 3(x - 5)

• 5x - 15

• 6x - 5

• 6x - 15

• 5x - 5

Multiple Choice

Simplify the expression:

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

• -12x - 14

• -11x - 14

• -11x + 4

• -12x + 4