Question 1

Which of the following numbers is irrational?

Accepted Answer

$$\sqrt{5}$$

Question 2

What is the distance between the points $$-4$$ and $$3 on a $$number line?

Accepted Answer

$$7$$

Question 3

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

Accepted Answer

Commutative Property

Question 4

Simplify $$(-2)^4.$$

Accepted Answer

$$16$$

Question 5

Which of the following is a rational number?

Accepted Answer

$$\frac{5}{8}$$

Question 6

Evaluate $$\sqrt{49}.$$

Accepted Answer

$$7$$

Question 7

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

Accepted Answer

Distributive Property

Question 8

If $$x = -3$$ and $$y = 5$$, what is $$|x - y|$$?

Accepted Answer

$$8$$

Question 9

Which of the following is NOT a real number?

Accepted Answer

$$\sqrt{-1}$$

Question 10

Simplify $$\left(\frac{1}{2}\$$right)^3$$.

Accepted Answer

$$\frac{1}{8}$$

Question 11

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

Accepted Answer

Associative Property

Question 12

A chemist mixes $$2$$ liters of a $$30\%$$ acid solution with $$3$$ liters of a $$50\%$$ acid solution. What is the concentration of acid in the resulting mixture?

Accepted Answer

$$40\%$$

Question 13

Which of the following numbers is both rational and an integer?

Accepted Answer

$$-7$$

Question 14

Simplify $$\sqrt{81} + (-9).$$

Accepted Answer

$$0$$

Question 15

Which property is illustrated by the equation $$a \cdot 1 = a$$?

Accepted Answer

Identity Property

Question 16

A patient receives $$250 mg of $$medication every $$6$$ hours. How much medication will the patient receive in $$24$$ hours?

Accepted Answer

$$1000 mg$$

Question 17

Which of the following is the correct simplification of $$(-3)^2$$?

Accepted Answer

$$9$$

Question 18

Which of the following is a real number but NOT a rational number?

Accepted Answer

$$\sqrt{7}$$

Question 19

If $$a = 2$$ and $$b = 5$$, what is the value of $$a^2$$ + $$b^2$$?

Accepted Answer

$$29$$

Question 20

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

Accepted Answer

Identity Property

College Algebra Chapter R: Real Numbers, Properties, and Number Line Distance

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