Free Printable Quiz 1

1.

It refers to the number of times

a number is multiplied by itself.

a)

Real Number

b)

Exponent

c)

Law of Exponent

d)

Floating pOint Numbers

2.

An equation in which the variable is in the exponent.

a)

Exponential Equation

b)

Floating Point Number

c)

Exponent

d)

Properties of Real Numbers

3.

Which of the following is an example of Exponential Equation?

a)

$x^2\ =\ 6\ +\ y$

b)

$2_{3_{ }}+\ 4_2\ =\ y$

c)

$3^x\ =\ 27^{x-2\ }$

d)

$3\ +\ 4i$

4.

$Simplify:\ \ \frac{4x^{\frac{1}{2}}y^2z}{2x^2yz}$

a)

$\frac{2y}{x_{ }^{\frac{3}{2}}}$

b)

$\frac{4x^{\frac{1}{2}}y^2z}{2x^2yz}$

c)

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

d)

$2xyz$

5.

Solve for x: $4^{2x-1}\ =\ 8_{ }^2$

a)

x = 1

b)

x = 2

c)

x = 3

d)

x = 4

6.

Rewrite in logarithmic form:

5³ = 125

a)

log ₅ 125 = 3

b)

log ₃ 125 = 5

c)

log ₁₂₅ 5 = 3

d)

log ₅ 3 = 125

7.

Rewrite in exponential form:

log₆36 = 2

a)

6²=36

b)

36²=6

c)

2⁶=36

d)

6³⁶=2

8.

Which of the following set of ordered pair is a function?

a)

{ (3,2), (4,-1), (3,3)}

b)

{(-1,2), (-5,0) (4, 0) , (2, 2)}

c)

{(-1,12), (-5,10) (5, -3) , (2, 12), (4, 2)}

d)

{ (3,-1), (2,-1), (3,3) ( 2, 0) (6, 6)}

9.

Which of the following value of x will satisfy the given function. $f\left(x\right)\ =\ \left(\frac{2}{3}\right)^{x-1}\ =\ \frac{81}{16}$

a)

-3

b)

2

c)

3

d)

-2

10.

Which of the following is NOT a Property of an Exponential Function?

a)

The function is one to one.

b)

The x-intercept of the graph is 1.

c)

The domain is the set of all real numbers

d)

The range is the set of all positive real numbers.

11.

Which of the following is a Property of a Logarithmic Function.

a)

The Domain is the set of all real Numbers.

b)

The range is the set of all positive Real numbers.

c)

The x-axis is the asypmtote of the graph.

d)

The Function is one to one.

12.

Which of the following is a graph of an Exponential Function.

a)

b)

c)

d)

13.

It is the inverse of an Exponential Function.

a)

Exponential Function

b)

Logarithmic Function

c)

Natural Exponential Function.

d)

Exponetial function with base e

14.

The logarithmic form of the exponential function $y\ =\ b^x$

a)

$b_xy\ =\ \log$

b)

$\log_bx\ =\ y$

c)

$\log_yx\ =\ b$

d)

$\log_by\ =\ x$

15.

Simplify the exponential expression. $\left(2x^2y^4\right)^3$

a)

$8x^6y^{12}$

b)

$8x^{12}y^6$

c)

$2x^6y^{12}$

d)

$2x^{12}y^6$

16.

Which of the following is the graph of the logarithmic function $\log_bx\ =\ y$

a)

b)

c)

d)

17.

Which of the following is an example of Natural Exponetial Function.

a)

$f\left(x\right)\ =\ e^{2x}$

b)

$y\ =\ \ln x$

c)

$y\ =\ 3^{e+2\ }$

d)

$f\left(x\right)\ =\ \left(\ln x\right)^e$

18.

$Writein\ \exp onential\ form:\ ∛4⁵$

a)

$4^{\frac{3}{5}}$

b)

$4^{\frac{5}{3}}$

c)

$4^{4^5}$

d)

$\left(4^5\right)^3$

19.

$Solve:\ 3^{x-2}=27^{4x}$

a)

$-2/11$

b)

2/11

c)

2/3

d)

-2/3

20.

Simplify:

2x(3xy²+ 4x³y)

a)

6xy² + 8x⁴y

b)

6x²y² + 8x⁴y

c)

6x²y + 8x³y

d)

6x²y² + 4x⁴y

21.

Which of the following are the domain of the function? {(2,4), (4,2), (3,6), (6,3)}

a)

{2,4,3,6}

b)

{4,2,6,3}

c)

{2,4,3}

d)

{4,3,6, 4}

22.

Which of the following properties of real exponents can be used to solve the equation $\left(\frac{1}{5}\right)^{x\ +3}\ =\ 25^{-x}$ .

a)

$a^{m\ }a^n\ =\ a^{m+n}$

b)

$a^{-m}\ =\ \left(\frac{1}{a^m}\right)$

c)

$a^{\frac{1}{n}}\ =\ \sqrt{a}$

d)

$\left(ab\right)^m\ =\ a^mb^m$

23.

$Evaluate\ 248^{\frac{1}{5}}$

a)

$\sqrt{248}$

b)

3.012

c)

1.369

d)

$\sqrt{248^5}$

24.

Find the base of an exponential function, $y\ =\ b^x$ containing the point (1/2, 2)

a)

1/2

b)

2

c)

4

d)

1/4

25.

$Solve\ for\ x:\ 2^x=\ -8$

a)

3

b)

-3

c)

3 and -3

d)

No solution

Quiz 1 - 4th

Total questions: 25

Worksheet time: 13mins

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