Question 1

Which of the following numbers is NOT an integer?

Accepted Answer

$$0.612$$

Question 2

Evaluate $$(-2)^4$$ and $$-2^4. $$Are the results the same? Why or why not?

Accepted Answer

No, $$(-2)^4 = 16$ and -2^4$ = -16$$ because $$-2^4$$ means the negative is not included in the exponent.

Question 3

Multiply $$(2y - 4)(-4y^2$ + 8y + 1). $$What is the expanded form?

Accepted Answer

$$-8y^3$$ + $$24y^2 - 30y - 4$

Question 4

Which of the following is a correct way to convert $$-81^{1/4} to $$radical form and simplify?

Accepted Answer

$$-\sqrt[4]{81} = -3$$

Question 5

Given the polynomial $$-4x^5y^2$ + 8y^3$ + 2y - 7$, what is the degree of the polynomial?

Accepted Answer

Degree $$7$$ because the term $$-4x^5y^2$ has degree 5+2=7$.

Question 6

Simplify $$-4x^5y - 412xy - 33$. Which term has the highest degree?

Accepted Answer

$$-4x^5y$ with degree 6$

Question 7

A student wants to find additional material to study for College Algebra. Which is the best resource?

Accepted Answer

Ask the instructor for recommended textbooks and online resources.

Question 8

Which of the following is a correct simplification of $$-4x^5y - 412xy - 33$?

Accepted Answer

$$-4x^5y - 412xy - 33$

Question 9

If the final exam is scheduled for December 15th, which of the following is the best way to prepare?

Accepted Answer

Review all quizzes, homework, and seek help on difficult topics.

Question 10

Which of the following is NOT a property of integers?

Accepted Answer

They include fractions.

Question 11

What is the degree of the term $$8y^3 in $$the polynomial $$-4x^5y^2$ + 8y^3$ + 2y - 7$?

Accepted Answer

Degree $$3$$

Question 12

Which of the following is the correct radical form for $$81^{1/4}$$?

Accepted Answer

$$\sqrt[4]{81}$$

Question 13

If you multiply $$(2y - 4) by$$ $$(-4y^2 + 8y + 1$$)$$, what is the coefficient of y^2$ in the expanded expression?

Accepted Answer

$$24$$

Question 14

Which of the following is a common mistake when evaluating $$-2^4$$?

Accepted Answer

Calculating $$(-2)^4$$ instead of $$-2^4$$

Question 15

Which of the following is the correct degree of the constant term $$-7 in $$the polynomial $$-4x^5y^2$ + 8y^3$ + 2y - 7$?

Accepted Answer

Degree $$0$$

Question 16

A medical researcher uses the polynomial $$-4x^5y^2$ + 8y^3$ + 2y - 7 to $$model the spread of a virus, where $$x is $$time and $$y$ is population. Which term represents the interaction between time and population?

Accepted Answer

$$-4x^5y^2$

Question 17

Which of the following is the correct simplification for $$-81^{1/4}$$?

Accepted Answer

$$-3$$

Question 18

If you are given the expression $$-4x^5y^2$, what is the sum of the exponents in this term?

Accepted Answer

$$7$$

Question 19

Which of the following is a real-world application of multiplying polynomials?

Accepted Answer

Calculating the area of a garden with variable length and width.

Question 20

Which of the following is NOT an integer from the list $$-15, 34, 25, 0.612, 34, 3013, -2.9$$?

Accepted Answer

$$-2.9$$

College Algebra Quiz 1B Study Guidance

Study Guide - Practice Questions

Study Guide - Flashcards