$2 + 5 \times 30 - 3 \times (-4) = 2 + 150 + 12 = 164$

Question 1

Translate the following into a math sentence: 'Four more than eighteen is less than the sum of 5 and x.'

Accepted Answer

$18 + 4 < 5 + x$

Question 2

What is the prime factorization of 280?

Accepted Answer

$2^3 	imes 5 	imes 7$

Question 3

Which of the following lists all the factors of 32?

Accepted Answer

$1, 2, 4, 8, 16, 32$

Question 4

Which symbol(s) will make the statement true: $| -5 | \_ 2$?

Accepted Answer

$>$

Question 5

Express $\frac{30}{45}$ in lowest terms.

Accepted Answer

$\frac{2}{3}$

Question 6

Simplify and express as a mixed number: $\frac{19}{4} + 18$

Accepted Answer

$22\frac{3}{4}$

Question 7

Which of the following is the correct simplification of $3(-4)^2 - 60$?

Accepted Answer

$48 - 60 = -12$

Question 8

Evaluate $2 + 5x - 3y$ when $x = 30$ and $y = -4$.

Accepted Answer

$2 + 5 	imes 30 - 3 	imes (-4) = 2 + 150 + 12 = 164$

Question 9

Round $289.2749$ to the nearest hundredth.

Accepted Answer

$289.28$

Question 10

Write $\frac{1}{8}$ as a decimal.

Accepted Answer

$0.125$

Question 11

Write $2.75$ as a percent.

Accepted Answer

$275\%$

Question 12

Find $3\%$ of $80$.

Accepted Answer

$2.4$

Question 13

Simplify: $-7^2$

Accepted Answer

$-49$

Question 14

Simplify: $| -7 | + 7$

Accepted Answer

$14$

Question 15

Which numbers are solutions of $5x - 3 = x + 5$? Choose all that apply: $1$, $2$, and/or $3$.

Accepted Answer

$2$

Question 16

Simplify: $\frac{2}{3} - \frac{1}{6}$

Accepted Answer

$\frac{1}{2}$

Question 17

Express $\frac{15}{4}$ as a mixed number.

Accepted Answer

$3\frac{3}{4}$

Question 18

Simplify: $3 - (-8) - 5 - 6$

Accepted Answer

$0$

Question 19

Simplify: $\frac{5(-2)^2 - 2}{8}$

Accepted Answer

$2$

Question 20

Simplify: $\frac{0.6(0.8)}{0.4}$

Accepted Answer

$1.2$

College Algebra Study Guide: Fundamental Concepts and Problem Solving

Study Guide - Practice Questions