Question 1

Which of the following numbers is NOT a real number?

Accepted Answer

$$\sqrt{-1}$$

Question 2

Simplify the expression: $$2^3$$ 	imes $$2^4.$$

Accepted Answer

$$2^{7}$$

Question 3

Evaluate the following using the order of operations: $$3 + 6 	imes (5 + 4) \div 3 - 7.$$

Accepted Answer

$$11$$

Question 4

Which of the following is the result of adding $$3x^2 - 2x + 5$ and -x^2$ + 4x - 3$$?

Accepted Answer

$$2x^2 + 2x + 2$

Question 5

Factor the polynomial: $$x^2 - 5x + 6$.

Accepted Answer

$$(x - 2)(x - 3)$$

Question 6

Solve for $$x$$: $$2x - 7 = 9.$$

Accepted Answer

$$x = 8$$

Question 7

Simplify the expression: $$\frac{3}{4} \div \frac{2}{5}.$$

Accepted Answer

$$\frac{15}{8}$$

Question 8

Which of the following is equivalent to $$\sqrt[3]{x^6$}$$?

Accepted Answer

Question 9

Rewrite $$16^{3/4}$$ using radical notation.

Accepted Answer

$$\sqrt[4]{16^3$}$$

Question 10

A chemist mixes two solutions: $$x$$ liters of a $$20\%$$ acid solution and $$y$$ liters of a $$50\%$$ acid solution to obtain $$10$$ liters of a $$30\%$$ acid solution. Which equation represents the total amount of acid in the final mixture?

Accepted Answer

$$0.2x + 0.5y = 3$$

Question 11

Which of the following is a rational number?

Accepted Answer

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

Question 12

If $$f(x) = x^2$ - 4x + 3$$, what is $$f(2)$$?

Accepted Answer

$$-1$$

Question 13

Simplify: $$\left(\frac{27x^6$}{3x^2$}\$$right)^{1/3}$$.

Accepted Answer

Question 14

Which of the following is the correct factorization of $$4x^2 - 9$?

Accepted Answer

$$(2x - 3)(2x + 3)$$

Question 15

A patient is prescribed a medication that requires the dosage to be halved every 6 hours. If the initial dose is $$80 mg$$, what is the dose after 18 hours?

Accepted Answer

$$10 mg$$

Question 16

Which of the following is equivalent to $$\frac{5x^2$y}{10xy^2$}$$?

Accepted Answer

$$\frac{x}{2y}$$

Question 17

If $$a = 2$$ and $$b = -3$$, evaluate $$a^2 + 2ab$$ + $$b^2.$$

Accepted Answer

$$1$$

Question 18

Which of the following expressions is equivalent to $$\sqrt{50}$$?

Accepted Answer

$$2\sqrt{5}$$

Question 19

Simplify: $$\frac{2}{x} + \frac{3}{x}.$$

Accepted Answer

$$\frac{5}{x}$$

Question 20

Which of the following is the solution to $$x^2 = 25$?

Accepted Answer

$$x = 5 or$$ $$x = -5$$

Fundamental Concepts in the Real Number System

스터디 가이드 - 연습 문제

학습 가이드 - 플래시카드