Question 1

Which of the following numbers is an example of an irrational number?

Accepted Answer

$$\sqrt{2}$$

Question 2

Which of the following expressions is NOT a polynomial?

Accepted Answer

$$f(x) = \frac{1}{x}$$

Question 3

Simplify the expression $$\$$left(2x^3$$y^2$$\$$right)^2$ using the power of a power and power of a product rules.

Accepted Answer

$$4x^6y^4$

Question 4

Which of the following is a composite number?

Accepted Answer

$$15$$

Question 5

What is the degree of the polynomial $$f(x) = 4x^5$ - 2x^3$ + 7x - 9$$?

Accepted Answer

$$5$$

Question 6

Which of the following is the correct application of the product of powers property for $$a^4$$ \cdot $$a^7$$?

Accepted Answer

$$a^{11}$$

Question 7

Which of the following is a perfect square?

Accepted Answer

$$16$$

Question 8

Simplify the expression $$\frac{3^5$}{3^2$}$$ using the quotient of powers property.

Accepted Answer

$$3^3$$

Question 9

Which of the following is a rational number?

Accepted Answer

$$-\frac{5}{2}$$

Question 10

If $$a = 2$$ and $$b = 3$$, what is the value of $$(ab)^3$$?

Accepted Answer

$$216$$

Question 11

Which of the following is the simplified form of $$\sqrt{50}$$?

Accepted Answer

$$2\sqrt{5}$$

Question 12

Which of the following is a monomial?

Accepted Answer

$$7x$$

Question 13

Which of the following is NOT allowed in a polynomial function?

Accepted Answer

$$f(x) = \sin(x)$$

Question 14

What is the result of $$\left(\frac{2}{3}\$$right)^4$$ using the power of a quotient property?

Accepted Answer

$$\frac{16}{81}$$

Question 15

Which of the following is a binomial?

Accepted Answer

$$x^2 + 3$

Question 16

If $$x = -2$$, what is the value of the polynomial $$f(x) = x^3$ + 2x^2$ - x + 5$$?

Accepted Answer

$$3$$

Question 17

Which of the following is the correct expanded form of $$(x+2)(x-3)$$?

Accepted Answer

$$x^2 - x - 6$

Question 18

Which of the following is a perfect cube?

Accepted Answer

$$8$$

Question 19

What is the simplified form of $$x^0$$ for $$x 
eq 0$$?

Accepted Answer

$$1$$

Question 20

Which of the following is the correct application of the negative exponent rule for $$a^{-3}$$?

Accepted Answer

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

Study Guide: Number Types, Radicals, Exponents, and Polynomials in Algebra

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