Geo Intro Review

​What do you remember about integer

Adding/Subtracting

​

Multiplying/Dividing​

Multiple Choice

-9 + (-5)

• -14
• 14
• -4

Multiple Choice

-6 + (-11)

• 5
• -5
• -17
• 17

Multiple Choice

2 - (-9) =

Be careful!

• 11
• -11
• 7
• -7

Multiple Choice

-8 + 20

• -28
• 28
• 14
• 12

​Now let's talk exponents

Multiple Choice

Evaluate: 7^-2

• 49

• 10/49

• -49

• 1/49

Multiple Choice

Solve (-8)^-2

• 1/(-8)²

• 1/8²

• 1/64

• -64

Multiple Choice

What is 10⁰ equivalent to?

• 1

• 10

• 0

• 100

Multiple Choice

Rewrite using a positive exponent.

g^-7

• ¹/_g⁷

• g⁷

• ¹/_g^-7

• -g⁷

Multiple Choice

According to exponent rules, when we multiply powers we _______ the exponents.

• add

• subtract

• multiply

• divide

Multiple Choice

x^{4 .} x

• x⁵

• x⁴

Multiple Choice

• A

• B

• C

• D

Open Ended

What do you notice about the relationship between the exponents in the original power and the exponents in the final power? $$\left(4^3\right)^2=4^3\cdot4^3=\left(4\cdot4\cdot4\right)\cdot\left(4\cdot4\cdot4\right)=?$$  

Power of a Power Property:

• Product of exponents (multiply exponents)

Multiple Choice

According to exponent rules, when we raise a power to a power we _______ the exponents.

• add

• subtract

• multiply

• divide

Multiple Choice

(r⁴)⁶

• 10r

• r¹⁰

• 24r

• r²⁴

Multiple Choice

(2⁸)²

• 2¹⁶

• 2¹⁰

• 2⁶

• 2⁴

Open Ended

What do you notice about the relationship between the exponents in the original power and the exponents in the final power? $$\left(8x\right)^3=8x\cdot8x\cdot8x=8\cdot8\cdot8\cdot x\cdot x\cdot x=?$$  

Power of a Product Property:

• Distribute power to both factors (the product)

Multiple Choice

(3xy)²

• 9x²y²

• 6x²y²

• 3xy²

• 3x²y²

Multiple Choice

(12x³y)²

• 144x⁶y²

• 24x⁶y²

• 144x⁵y³

• 24x⁵y³

Multiple Choice

Simplify the expression:

$$\left(a^4b\right)^2\left(a^3b^2\right)^4$$  

• $$4a^8b$$  

• $$a^{13}b^8$$  

• $$-2a^8y^7$$  

• $$a^{20}b^{10}$$  

Multiple Choice

Simplify -5x²y^-3

• -5x²/y³

• x²/5y³

• x²y³/-5

• y^-3/-5x²

​Let's try some order of operations

What do you remember?

Multiple Choice

What is the first step in solving this problem:
-2 ⋅ (3 + 8 ÷ 4)²

• multiplication
• addition
• division
• subtraction

Multiple Choice

Solve the following:
(2 + 7 - 1) ÷ 2²

• 16
• 2
• 72.25
• 8.75

Multiple Choice

Find and explain the error.    
 5 - 3 + 2
     5 - 5
        0

• There is no error.
• Addition was done first and you should have subtracted first
• There is a subtraction error

Multiple Choice

True or False?
2 + (4 * 5 - 2) + 8 = 28

• True
• False

Multiple Choice

What are the steps to solve the following expression?
50 − 16 ÷ 2 ∗ (12 + 4)

• parentheses
  multiplication
  subtraction
  division
• parentheses
  multiplication
  division
  subtraction
• parentheses
  division
  multiplication
  subtraction
• parentheses
  subtraction
  multiplication
  division

Multiple Choice

Solve the following:
91 + 27 ÷ (72 ÷ 24)

• 100
• 96
• 90
• 127

Multiple Choice

Solve the following:
(7 + 41) ÷ 2 – 15

• 19
• 9
• 25
• 3

Multiple Choice

What would be my first step in solving this problem?
3 + 4 ∗ 6 - 4

• addition
• multiplication
• subtraction
• exponents

Multiple Choice

Describe the first step. a - 12 + 2a = 27

• add 12 to both sides

• subtract a from 2a

• subtract 12 from 27

• combine a and 2a on the left

Multiple Choice

Solve the equation:
3(x - 1) = 2x + 9

• x = 12
• no solution
• x = 10
• x = 6

Multiple Choice

9 + (7 - 12)

• 4
• -4
• 13
• -13

Multiple Choice

Evaluate the expression.
3 - 4 + 15 - 6

• 28
• -28
• 8
• 16