Question 1

Which of the following is a rational number?

Accepted Answer

$$\frac{3}{4}$$

Question 2

What is the least common multiple (LCM) of 6 and 8?

Accepted Answer

$$24$$

Question 3

Simplify $$\frac{5}{8} + \frac{3}{4}.$$

Accepted Answer

$$\frac{11}{8}$$

Question 4

What is the product of $$\frac{2}{3} 	imes \frac{3}{5}$$?

Accepted Answer

$$\frac{6}{15}$$

Question 5

Which property is illustrated by $$a + (b + c) = (a + b) + c$$?

Accepted Answer

Associative Property

Question 6

What is the value of $$2^3$$ 	imes $$2^4$$?

Accepted Answer

$$2^7$$

Question 7

Simplify $$\frac{x^5$}{x^2$}.$$

Accepted Answer

$$x^3$$

Question 8

What is the principal square root of $$49$$?

Accepted Answer

$$7$$

Question 9

Which of the following is the correct scientific notation for $$7,800,000$$?

Accepted Answer

$$7.8 	imes 10^6$

Question 10

If the ratio of students in Group A to Group B is $$3:5$$ and there are $$120$$ students in total, how many students are in Group A?

Accepted Answer

$$45$$

Question 11

What is the sum of the arithmetic sequence $$2, 4, 6, 8, 10$$?

Accepted Answer

$$30$$

Question 12

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

Accepted Answer

$$\sqrt{5}$$

Question 13

What is the value of $$\log_{10}(100)$$?

Accepted Answer

$$2$$

Question 14

If $$\log_{10}(x) = 3$$, what is the value of $$x$$?

Accepted Answer

$$1000$$

Question 15

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

Accepted Answer

$$6\sqrt{5}$$

Question 16

Which property is illustrated by $$a 	imes 1 = a$$?

Accepted Answer

Multiplicative Identity

Question 17

If $$a = 2$$, $$b = 3$$, and $$c = 4$$, what is the value of $$a + b 	imes c$$ according to the order of operations?

Accepted Answer

$$14$$

Question 18

What is the value of $$\frac{3}{4} \div \frac{1}{2}$$?

Accepted Answer

$$\frac{3}{2}$$

Question 19

Which of the following is the correct value for $$\frac{2}{5} + \frac{3}{10}$$?

Accepted Answer

$$\frac{7}{10}$$

Question 20

If the first term of an arithmetic sequence is $$10$$ and the common difference is $$4$$, what is the $$5th $$term?

Accepted Answer

$$26$$

Comprehensive Study Notes for Beginning-Intermediate Algebra

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