Question 1

Which of the following is the correct solution to the linear equation $$2x - 5 = 11$$?

Accepted Answer

$$x = 8$$

Question 2

If $$f(x) = 2x^2$ - 3x + 5$$, what is $$f(-2)$$?

Accepted Answer

$$f(-2) = 17$$

Question 3

Which of the following is the factored form of $$x^2 - 9$?

Accepted Answer

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

Question 4

Solve the quadratic equation $$x^2 + 6x + 9 = 0$.

Accepted Answer

$$x = -3$$

Question 5

Simplify the expression $$\frac{3x^2$y}{6xy^2$}.$$

Accepted Answer

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

Question 6

Which of the following is the solution to the inequality $$4x - 7 \u003c 9$$?

Accepted Answer

$$x \u003c 4$$

Question 7

A chemical reaction requires the temperature $$T to $$satisfy $$|T - 100| \u003c 5. $$What is the range of acceptable temperatures?

Accepted Answer

$$95 \u003c T \u003c 105$$

Question 8

Which of the following is the correct scientific notation for $$0.00056$$?

Accepted Answer

$$5.6 	imes 10$$^{-5}$$

Question 9

If $$g(x) = x^2$ and h(x) = x + 1$, what is (g$$ \circ h)(2)$$?

Accepted Answer

$$9$$

Question 10

Which of the following is the correct simplification of $$\sqrt{50}$$?

Accepted Answer

$$5\sqrt{2}$$

Question 11

A medical dosage formula is $$D = \frac{mg}{kg}$$, where $$mg is $$milligrams and $$kg is $$body weight in kilograms. If a patient weighs $$60 kg $$and needs $$300 mg$$, what is the dosage per kg?

Accepted Answer

$$5 \frac{mg}{kg}$$

Question 12

Which of the following is the correct solution to the radical equation $$\sqrt{x + 4} = 6$$?

Accepted Answer

$$x = 32$$

Question 13

Which of the following is the correct value of $$2^{-3}$$?

Accepted Answer

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

Question 14

Which of the following is the correct factorization of $$x^2 + 5x + 6$?

Accepted Answer

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

Question 15

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

Accepted Answer

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

Question 16

Which of the following is the correct simplification of $$\frac{2x^2$ - 8}{2x}$$?

Accepted Answer

$$x - 4$$

Question 17

Which of the following is the correct solution to the compound inequality $$2 \u003c x + 3 \u003c 7$$?

Accepted Answer

$$-1 \u003c x \u003c 4$$

Question 18

Which of the following is the correct value of $$\log_{10} 1000$$?

Accepted Answer

$$3$$

Question 19

Which of the following is the correct simplification of $$\sqrt{18} + \sqrt{8}$$?

Accepted Answer

$$5\sqrt{2}$$

Question 20

Which of the following is the correct solution to the equation $$x^2 + 4x + 4 = 0$ using the quadratic formula?

Accepted Answer

$$x = -2$$

College Algebra Pathway: Syllabus and Course Structure Overview

Guida di studio - Domande di pratica

Study guide - Flashcard