Unit 5

​Unit 5 Review

Some text here about the topic of discussion

Some text here about the topic of discussion

Multiple Choice

Which of these is an example of a rational number?

• √4

• √5

• √3

• √2

Multiple Choice

A rational number can be written as a fraction.

• true

• false

Multiple Choice

pi - 3.141592....

• Rational
• Irrational 

Multiple Choice

.141414141414...

• Rational 
• Irrational 

Multiple Choice

includes integers, fractions, terminating and repeating decimals.

• Rational Numbers
• Irrational Numbers

Multiple Choice

4π

• rational
• irrational

Multiple Choice

-17.5

• Rational
• Irrational

Simplifying square-root expressions: no variables (video) | Khan Academy

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Multiple Choice

Simplify $$\sqrt[]{18}$$  

• $$3\ \sqrt[]{2}$$  

• $$2\ \sqrt[]{3}$$  

• $$9\ \sqrt[]{2}$$  

• $$2\ \sqrt[]{9}$$  

Multiple Choice

Simplify $$\sqrt[]{24}$$  

• $$6\ \sqrt[]{2}$$  

• $$2\ \sqrt[]{6}$$  

• $$8\ \sqrt[]{3}$$  

• $$3\ \sqrt[]{8}$$  

Multiple Choice

Simplify $$\sqrt[]{42}$$  

• $$\ \sqrt[]{42}$$  

• $$7\ \sqrt[]{6}$$  

• $$2\ \sqrt[]{21}$$  

• $$21\ \sqrt[]{2}$$  

Multiple Choice

Simplify $$\sqrt[]{120}$$  

• $$\ 2\ \sqrt[]{30}$$  

• $$12\ \sqrt[]{10}$$  

• $$30\ \sqrt[]{2}$$  

• $$4\ \sqrt[]{30}$$  

Multiple Choice

• 8√6
• 8√12
• 12√6
• 12√12

Multiple Choice

Simplify:
√6 ⋅√6

• √36
• 2√3
• 12
• 6

Multiple Choice

• 11√5
• 11√10
• 5√5
• 12√10

Multiple Choice

• 13√3
• 10√30
• 13√6
• 11√3

Multiple Choice

Simplify:
6√2 ⋅5√14

• 32√7
• 60√7
• 2√7
• 30√7

Multiple Choice

• 7√3
• Can't Simplify
• 6√15
• 6√3

Multiple Choice

Simplify the expression: 
c⁴⋅c³=

• ^c12
• c⁴⁺³
• c⁷

Multiple Choice

Simplify the expression: 3x²⋅x²=

• 3x
• 3x²⁺²
• 3x⁴

Multiple Choice

(5³x²y⁴)⁰

• 5xy
• 1
• 0
• 5

Multiple Choice

x⁶ / x²

• x⁴

• x¹²

• x³

• x⁸

Multiple Choice

m ⋅ m⁵ ⋅ m⁶

• m³⁰
• m¹²
• 12m
• mm¹¹

Multiple Choice

 

(8⁵)³

• 8⁸

• 8²

• 8¹⁵

• 1/8²

Multiple Choice

(4x³)²

• 8x⁵
• 8x⁶
• 16x⁵
• 16x⁶

Multiple Choice

Which expression is equivalent (equal) to

• 10^-12

• 10^-6

• 1/10⁶

• 1/10¹²

Multiple Select

Rewrite as a radical expression: $$5^{\frac{1}{2}}$$  

• $$\sqrt{5}$$  

• 10

• 25

• $$\sqrt{25}$$  

Multiple Choice

Convert to a radical expression: $$\sqrt[]{x}$$  

• $$x^{\frac{1}{3}}$$  

• $$x^3$$  

• $$x^{\frac{2}{3}}$$  

• $$x^{\frac{1}{2}}$$  

Multiple Choice

Write the following expression in radical form:

• a.)
• b.)
• c.)
• d.)

Multiple Choice

Write the following expression in exponential form:

• a.)
• b.)
• c.)
• d.)

Multiple Choice

Write the expression in radical form: $$x^{\frac{3}{4}}$$  

• $$\sqrt[4]{x^3}$$  

• $$\sqrt[3]{x^4}$$  

• $$x^{.75}$$  

• $$\sqrt[]{x^2}$$  

Multiple Choice

Rewrite with positive exponents: $$x^{-a}$$  

• $$ax$$  

• $$\frac{1}{x^a}$$  

• $$\frac{a}{x}$$  

• $$-ax$$  

Multiple Choice

How do you know that this was exponential decay? $$f\left(x\right)=\ 25\ \left(\ 0.20\right)^x$$  

• Because the 25 was bigger than one

• Because the 0.20 was bigger than one

• Because the 25 was less than one

• Because the 0.20 was less than one

Multiple Choice

This is an example of: $$f\left(x\right)=\ 0.25\ \left(\ 1.3\right)^x$$  

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

Multiple Choice

How do you know that this was exponential growth? $$f\left(x\right)=0\ .25\ \left(\ 1.3\right)^x$$  

• Because the 0.25 was bigger than one

• Because the 1.3 was bigger than one

• Because the 0.25 was less than one

• Because the 1.3 was less than one

Multiple Choice

This is an example of: $$f\left(x\right)=90\ \left(\ \frac{1}{2}\right)^x$$  

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

Multiple Choice

How do you know that this was exponential decay? $$f\left(x\right)=90\ \left(\ \frac{1}{2}\right)^x$$  

• Because the 90 was bigger than one

• Because the 1/2 was bigger than one

• Because the 90 was less than one

• Because the 1/2 was less than one

Multiple Choice

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

• Growth
• Decay

Multiple Choice

Identify the initial value:

y = 6.87 (4)^x

• a = 4

• a = 6.87

• a = 3

• a = 1

Multiple Choice

If the decay rate is 20%, which of the following represent the decay factor?

• 0.2

• 0.8

• 1.2

• 1.8

Multiple Choice

If the growth rate is 80%, what is the growth factor?

• 0.2

• 0.8

• 1.2

• 1.8

Multiple Choice

 A flea medicine breaks down at a rate of 20% per hour.  This is the rate of decay of the medicine. The initial dose is 60 milligrams. Which of the following represent the equation the models the amount of flea medicine left in an animal?

• $$y=60\left(.2\right)^x$$  

• $$y=20\left(60\right)^x$$  

• $$y=60\left(.8\right)^x$$  

• $$y=60\left(1.2\right)^x$$  

Multiple Choice

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x
• y = 15(1.35)^x
• y = 15(0.35)^x
• y = 35(1.15)^x

Multiple Choice

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

• Growth
• Decay

Multiple Choice

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

• Growth
• Decay

Multiple Choice

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x
• y=30(5000)^x
• y=5000(1.3)^x
• y=5000x^x

Multiple Choice

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(1 - 0.30)^x

• y=30(5000)^x

• y=5000(1 + 0.30)^x

• y=5000x^x

Multiple Choice

Change 6.75% to a decimal.

• 67.5
• .675
• 675
• .0675

Multiple Choice

Change 11.2% to a decimal.

• 11.2

• 1.12

• 0.112

• 0.0112