Exponential Functions And Logarithms Comprehensive Review Practice Tests

Question 1

Simplify the following expression using index laws: $\frac{(3a^5b^{-2})^3}{a^{-4}b^6}$

Accepted Answer

$\frac{27a^{19}}{b^{12}}$

Question 2

Which of the following is equivalent to $\sqrt[5]{32x^{10}y^{15}}$?

Accepted Answer

D. $2x^2y^3$

Answer

A. $4x^5y^7.5$

Answer

B. $2x^5y^3$

Answer

C. $4x^2y^3$

Question 3

The expression $(-5)^0$ is equal to -1.

Accepted Answer

True

Answer

False

Question 4

Which of the following expressions are equivalent to $x^{-\frac{3}{2}}$?

Answer

A. $\sqrt{x^3}$

Answer

B. $\frac{1}{x^{\frac{3}{2}}}$

Answer

C. $\frac{1}{\sqrt{x^3}}$

Answer

D. $-\sqrt{x^3}$

Question 5

Express 234,000,000 in scientific notation.

Accepted Answer

$2.34 	imes 10^8$

Question 6

Evaluate: $(5.0 	imes 10^{-3}) \div (2.0 	imes 10^7)$

Accepted Answer

B. $2.5 	imes 10^{-10}$

Answer

A. $2.5 	imes 10^{4}$

Answer

C. $2.5 	imes 10^{21}$

Answer

D. $2.5 	imes 10^{-21}$

Question 7

Simplify: $\frac{(x^{\frac{1}{2}}y^{-2})^4}{x^{-3}y^5}$

Accepted Answer

$\frac{x^5}{y^{13}}$

Question 8

Solve for x: $3^{3x+1} = 81$

Accepted Answer

C. 1

Answer

A. 0

Answer

B. -1

Answer

D. 2

Question 9

A computer can perform $4.5 	imes 10^{10}$ calculations per second. How many calculations can it perform in 2 minutes? Express your answer in scientific notation.

Accepted Answer

$5.4 	imes 10^{12}$

Question 10

Which of the following numbers, when rounded to 2 significant figures, is equal to $6.7 	imes 10^5$?

Answer

A. 674,999

Answer

B. 665,000

Answer

C. 659,000

Answer

D. 675,000

Question 11

Solve for x: $7^{3x-2} = 49$

Accepted Answer

A. $\frac{4}{3}$

Answer

B. $\frac{2}{3}$

Answer

C. 2

Answer

D. 4

Question 12

Solve for x: $9^{x} = \frac{1}{27}$

Accepted Answer

-$\frac{3}{2}$

Question 13

Which of the following equations is an exponential equation?

Accepted Answer

C. $y = 5^x + 2$

Answer

A. $y = x^5 + 2$

Answer

B. $y = 3x + 5$

Answer

D. $y = x^2 + 5x$

Question 14

The graph of $y = (\frac{1}{3})^x$ is increasing as x increases.

Accepted Answer

True

Answer

False

Question 15

Which of the following transformations will reflect the graph of $y = 4^x$ across the x-axis?

Answer

A. $y = -4^x$

Answer

B. $y = 4^{-x}$

Answer

C. $y = 4^x + 1$

Answer

D. $y = 4^{x-1}$

Question 16

A population of insects triples every month. If the initial population is 20, what is the population after 4 months?

Accepted Answer

1620

Question 17

A car depreciates at a rate of 15% per year. If the initial value of the car is €25000, what is the value of the car after 3 years?

Accepted Answer

B. €15346.88

Answer

A. €12500.00

Answer

C. €18750.00

Answer

D. €21250.00

Question 18

€8000 is invested at an annual interest rate of 5% compounded annually. What is the amount after 5 years?

Accepted Answer

€10210.25

Question 19

€3000 is invested at an annual interest rate of 4% compounded quarterly. What is the amount after 2 years?

Accepted Answer

A. €3249.29

Answer

B. €3240.00

Answer

C. €3243.43

Answer

D. €3450.00

Question 20

The asymptote of the graph $y = 5^x - 2$ is the line y = 0.

Accepted Answer

True

Answer

False

Exponential Functions And Logarithms Comprehensive Review Practice Tests

Practice Tests

Exponential Functions and Logarithms Comprehensive Review

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