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 $$nth $$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

스터디 가이드 - 연습 문제