Question 1

Which property allows you to change the grouping of numbers when adding, without changing the result?

Accepted Answer

Associative Property

Question 2

What is the value of $\sqrt{180}$ in simplest radical form?

Accepted Answer

$\sqrt{180} = 6\sqrt{5}$

Question 3

If $a_n$ is the $n$th term of an arithmetic sequence with first term $a_1 = 10$ and common difference $d = 4$, what is the value of $a_7$?

Accepted Answer

$a_7 = 34$

Question 4

Which of the following is the correct product rule for exponents?

Accepted Answer

$x^a 	imes x^b = x^{a+b}$

Question 5

A TV costs $12,000. Eli pays $8,000 more than Mark. What is the ratio of the price paid by Eli to the price paid by Mark?

Accepted Answer

$\frac{20,000}{12,000}$

Question 6

What is the value of $2.5 	imes 0.05$?

Accepted Answer

$0.125$

Question 7

Which of the following is the correct quotient rule for logarithms?

Accepted Answer

$\log_b(x/y) = \log_b(x) - \log_b(y)$

Question 8

Simplify $\frac{x^5}{x^2}$ using exponent rules.

Accepted Answer

$x^3$

Question 9

What is the sum of the arithmetic sequence $7, 10, 13, 16, 19$?

Accepted Answer

$65$

Question 10

Which of the following is NOT a rational number?

Accepted Answer

$\sqrt{2}$

Question 11

If $\log_{10}(x) = 2$, what is the value of $x$?

Accepted Answer

$100$

Question 12

What is the least common multiple (LCM) of 6 and 15?

Accepted Answer

$30$

Question 13

Which of the following is the correct way to add $\frac{2}{5}$ and $\frac{3}{10}$?

Accepted Answer

$\frac{2}{5} + \frac{3}{10} = \frac{7}{10}$

Question 14

If $x^2 = 49$, what is the value of $x$?

Accepted Answer

$x = \pm 7$

Question 15

What is the scientific notation for $4,200,000$?

Accepted Answer

$4.2 	imes 10^6$

Question 16

Which of the following is the correct definition of a prime number?

Accepted Answer

A number that has only two distinct positive divisors: 1 and itself.

Question 17

What is the value of $\log_{10}(25)$ using the power rule?

Accepted Answer

$2 \log_{10}(5)$

Question 18

If the ratio of students enrolled at Greenvale and Riverside is $4:7$ and Greenvale has 32 students, how many does Riverside have?

Accepted Answer

56

Question 19

What is the sum of $\frac{3}{8}$ and $\frac{1}{4}$?

Accepted Answer

$\frac{5}{8}$

Question 20

Which of the following is the correct way to multiply fractions $\frac{2}{3} 	imes \frac{5}{7}$?

Accepted Answer

$\frac{10}{21}$

College Algebra Foundations: Numbers, Operations, Exponents, Radicals, Logarithms, and Sequences

Study Guide - Practice Questions