Q: Which of the following is the correct prime factorization of 60?

$$60 = 2 \times 2 \times 3 \times 5$$

Q: A store sells adult tickets for $$\15.79$ and children's tickets for $$\$$12.79. If$$ $$x = 30$$ adults and $$y = 40$$ children buy tickets, what is the total revenue?

$$15.79 \times 30 + 12.79 \times 40 = \951.70$

Question 1

Which of the following is the correct prime factorization of 60?

Accepted Answer

$$60 = 2 	imes 2 	imes 3 	imes 5$$

Question 2

A student wants to convert $$0.375 to a $$fraction in lowest terms. What is the correct answer?

Accepted Answer

$$\frac{3}{8}$$

Question 3

Which of the following numbers is an irrational number?

Accepted Answer

$$\sqrt{2}$$

Question 4

What is the least common multiple (LCM) of 12 and 18?

Accepted Answer

$$36$$

Question 5

Which of the following is the additive inverse of $$-7$$?

Accepted Answer

$$7$$

Question 6

Evaluate the expression $$3^2 + 4$$ 	imes 2$$ using the order of operations.

Accepted Answer

$$19$$

Question 7

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

Accepted Answer

Associative Property of Addition

Question 8

A medication is prescribed at a dosage of $$0.75$$ grams per day. How many milligrams is this? (Recall: $$1$$ gram $$= 1000$$ milligrams)

Accepted Answer

$$750$$ milligrams

Question 9

Simplify the expression $$4x + 7 - 2x + 3 by $$combining like terms.

Accepted Answer

$$2x + 10$$

Question 10

Which of the following is the reciprocal of $$-\frac{3}{5}$$?

Accepted Answer

$$-\frac{5}{3}$$

Question 11

A pizza is cut into $$8$$ equal slices. If you eat $$3$$ slices, what fraction of the pizza have you eaten?

Accepted Answer

$$\frac{3}{8}$$

Question 12

Evaluate $$| -12 | + | 5 |.$$

Accepted Answer

$$17$$

Question 13

Which of the following is a rational number?

Accepted Answer

$$0.333\ldots ($$repeating decimal)

Question 14

What is the result of $$-8 \div 2$$?

Accepted Answer

$$-4$$

Question 15

Which of the following is an example of the distributive property?

Accepted Answer

$$3(x + 4) = 3x + 12$$

Question 16

Round $$0.9476 to $$the nearest hundredth.

Accepted Answer

$$0.95$$

Question 17

Convert $$0.62 to a $$percent.

Accepted Answer

$$62\%$$

Question 18

Evaluate the algebraic expression $$2x^2 - 3x + 4$ for x = -2$.

Accepted Answer

$$18$$

Question 19

Which of the following is the correct order of operations?

Accepted Answer

Parentheses, Exponents, Multiplication/Division, Addition/Subtraction

Question 20

A store sells adult tickets for $$\15.79$ and children's tickets for $$\$$12.79. If$$ $$x = 30$$ adults and $$y = 40$$ children buy tickets, what is the total revenue?

Accepted Answer

$$15.79 	imes 30 + 12.79 	imes 40 = \951.70$

Chapter 1: Operations on Real Numbers and Algebraic Expressions – Study Notes

Study Guide - Practice Questions

Study Guide - Flashcards