Quiz about Unit Test: Exponents and Exponential Functions

Question 1

Simplify the expression: $$\sqrt{50} + \sqrt{18}$$

Accepted Answer

$$5\sqrt{2} + 3\sqrt{2}$$

Answer

$$8\sqrt{2}$$

Answer

$$11\sqrt{2}$$

Answer

$$23$$

Question 2

Simplify the expression: $$(2x^{\frac{1}{2}})(3x^{\frac{3}{2}})$$

Accepted Answer

$$6x^2$$

Answer

$$6x$$

Answer

$$6x^{2}$$

Answer

$$6x^{\frac{2}{3}}$$

Question 3

Evaluate the expression: $$8^{\frac{2}{3}}$$

Accepted Answer

$$4$$

Answer

$$16$$

Answer

$$2$$

Answer

$$8$$

Question 4

Simplify the expression: $$(x^3)^{\frac{1}{3}}$$

Accepted Answer

$$x$$

Answer

$$x^{\frac{1}{3}}$$

Answer

$$x^2$$

Answer

$$x^{\frac{2}{3}}$$

Question 5

Determine if the function $$f(x) = 3(1.05)^x$$ represents growth or decay.

Accepted Answer

Growth

Answer

Decay

Answer

Neither

Answer

Cannot be determined

Question 6

Simplify the expression: $$\frac{\sqrt{72}}{\sqrt{2}}$$

Accepted Answer

$$6$$

Answer

$$12$$

Answer

$$36$$

Answer

$$18$$

Question 7

Express $$x^{\frac{5}{2}}$$ in radical form.

Accepted Answer

$$\sqrt{x^5}$$

Answer

$$x\sqrt{x}$$

Answer

$$\sqrt[5]{x^2}$$

Answer

$$x^5$$

Question 8

Evaluate the expression: $$27^{\frac{2}{3}}$$

Accepted Answer

$$9$$

Answer

$$3$$

Answer

$$6$$

Answer

$$12$$

Question 9

Determine if the function $$f(x) = 5(0.8)^x$$ represents growth or decay.

Accepted Answer

Decay

Answer

Growth

Answer

Neither

Answer

Cannot be determined

Question 10

Simplify the expression: $$\sqrt{32} - \sqrt{8}$$

Accepted Answer

$$2\sqrt{2}$$

Answer

$$4\sqrt{2}$$

Answer

$$6\sqrt{2}$$

Answer

$$8\sqrt{2}$$

Question 11

Express $$x^{\frac{3}{4}}$$ in radical form.

Accepted Answer

$$\sqrt[4]{x^3}$$

Answer

$$x\sqrt{x}$$

Answer

$$\sqrt{x^3}$$

Answer

$$x^3$$

Question 12

Evaluate the expression: $$16^{\frac{3}{4}}$$

Accepted Answer

$$8$$

Answer

$$4$$

Answer

$$16$$

Answer

$$2$$

Question 13

Determine if the function $$f(x) = 2(1.2)^x$$ represents growth or decay.

Accepted Answer

Growth

Answer

Decay

Answer

Neither

Answer

Cannot be determined

Question 14

Identify the following exponential as a growth or decay function. Then determine the rate as a percent.

$$y\ =\ 29\left(0.93\right)^x$$

Accepted Answer

Decay of 7%

Answer

Growth of 93%

Answer

Decay of 93%

Answer

Growth of 7%

Question 15

What is the y-intercept of the function?

Accepted Answer

1

Answer

2

Answer

3

Answer

-2

Question 16

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

Accepted Answer

f(x)=400(1+0.03)^x

Answer

f(x)=400(1+3)^x

Answer

f(x)=400(1-0.03)^x

Answer

f(x)=400(0.03)^x

Question 17

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the value after 7 years?

Accepted Answer

$8367.70

Answer

$800

Answer

$6600

Answer

$25,707.36

Question 18

Is this exponential growth or decay?

Accepted Answer

Decay

Answer

Growth

Question 19

Given y=3^xdetermine the asymptote

Accepted Answer

y=0

Answer

(0,1)

Answer

(0,3)

Answer

x=0

Question 20

How do you write 5% as a decimal?

Accepted Answer

0.05

Answer

50

Answer

5

Answer

0.5

Question 21

Simplify the expression: $$(8y^6)^{\frac{1}{3}}$$

Accepted Answer

$$2y^2$$

Answer

$$4y^2$$

Answer

$$2y^3$$

Answer

$$4y^3$$

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