Question 1

Which of the following represents the solution set for $$x \u003c -2 in $$interval notation?

Accepted Answer

$$(-\infty, -2)$$

Question 2

Simplify and express as a reduced fraction: $$\dfrac{2}{3} + \dfrac{5}{6}$$

Accepted Answer

$$\dfrac{7}{6}$$

Question 3

Which of the following is the correct set-builder notation for the interval $$[3, 8)$$?

Accepted Answer

$$\{x \mid 3 \leq x \u003c 8\}$$

Question 4

A rectangle has a width of $$2x + 3$$ and a length of $$10x - 2x. $$What is the perimeter in terms of $$x$$?

Accepted Answer

$$24x + 6$$

Question 5

Convert $$0.08 to a $$fraction in lowest terms.

Accepted Answer

$$\dfrac{2}{25}$$

Question 6

Which algebraic expression translates to 'the difference of 17 and 3 times a number'?

Accepted Answer

$$17 - 3x$$

Question 7

Solve for $$x$$: $$2x - 5 = 11$$

Accepted Answer

$$x = 8$$

Question 8

If $$1$$ yard $$= 3$$ feet and $$1$$ foot $$= 12$$ inches, how many inches are in $$2.5$$ yards?

Accepted Answer

$$90$$

Question 9

Which of the following is the correct interval notation for $$x \geq 2$$?

Accepted Answer

$$[2, \infty)$$

Question 10

A pentagon has sides of $$6x + 2$$, $$5x + 4$$, $$4x + 3$$, $$3x - 2$$, and $$2x + 8. $$What is the perimeter in terms of $$x$$?

Accepted Answer

$$20x + 15$$

Question 11

Solve for $$x$$: $$\dfrac{3x}{2} = 9$$

Accepted Answer

$$x = 6$$

Question 12

Which of the following is the correct scientific notation for $$47,000,000$$?

Accepted Answer

$$4.7 	imes 10^7$

Question 13

If $$1 mg$$ $$= 1000$$ mcg, how many micrograms are in $$0.25 mg$$?

Accepted Answer

$$250$$ mcg

Question 14

Which of the following is the correct solution for $$x in$$ $$4x + 7 = 3x - 2$$?

Accepted Answer

$$x = -9$$

Question 15

A restaurant bill is $$428.50. If $$you want to leave a $$15\%$$ tip, how much should you leave?

Accepted Answer

$$64.28$$

Question 16

Which of the following is the correct solution for $$x in$$ $$2(x - 3) = 4x + 8$$?

Accepted Answer

$$x = -7$$

Question 17

Convert $$2.5 kg to $$grams.

Accepted Answer

$$2500 g$$

Question 18

If $$F = \dfrac{9}{5}C + 32$$, what is the temperature in Fahrenheit when $$C = 40$$?

Accepted Answer

$$104$$

Question 19

Which of the following is the correct solution for $$x in$$ $$\dfrac{2x - 3}{5} = 7$$?

Accepted Answer

$$x = 19$$

College Algebra Review: Inequalities, Expressions, Perimeter, and Conversions

Study Guide - Practice Questions