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

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

What is the least common multiple (LCM) of 8 and 12?

Accepted Answer

$$24$$

Question 3

Which of the following fractions is equivalent to $$\frac{3}{4}$$?

Accepted Answer

$$\frac{6}{8}$$

Question 4

Round $$0.9478 to $$the nearest hundredth.

Accepted Answer

$$0.95$$

Question 5

Convert $$0.375 to a $$fraction in lowest terms.

Accepted Answer

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

Question 6

Which of the following numbers is irrational?

Accepted Answer

$$\sqrt{2}$$

Question 7

What is the absolute value of $$-12$$?

Accepted Answer

$$12$$

Question 8

Evaluate: $$-7 + 15$$

Accepted Answer

$$8$$

Question 9

Which property is illustrated by the equation $$a + 0 = a$$?

Accepted Answer

Identity Property of Addition

Question 10

Simplify: $$3(x + 4) - 2x$$

Accepted Answer

$$x + 12$$

Question 11

Evaluate the expression $$2^3 + 4$$ 	imes 3$$.

Accepted Answer

$$20$$

Question 12

Which of the following is the reciprocal of $$-\frac{5}{7}$$?

Accepted Answer

$$-\frac{7}{5}$$

Question 13

A student buys 3 adult tickets at $$\15.79$ each and 2 children’s tickets at $$\$$12.79$$ each for an IMAX theater. What is the total cost?

Accepted Answer

$$\72.95$

Question 14

Which of the following is a rational number?

Accepted Answer

$$-\frac{9}{2}$$

Question 15

Simplify: $$4x + 7 - 2x + 3$$

Accepted Answer

$$2x + 10$$

Question 16

Evaluate the algebraic expression $$5x - 2$$ for $$x = 8.$$

Accepted Answer

$$38$$

Question 17

Which of the following is the correct order of operations for evaluating $$8 + 2 	imes (3^2$ - 1)$$?

Accepted Answer

Parentheses, Exponents, Multiplication, Addition

Question 18

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

Accepted Answer

Distributive Property

Question 19

If $$a = 0$$, what is the value of $$a 	imes 7$$?

Accepted Answer

$$0$$

Question 20

Which of the following is undefined?

Accepted Answer

$$\frac{5}{0}$$

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

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