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

Question 1

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

Accepted Answer

$$18 + 4 \u003c 5 + x$$

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

$$\u003e$$

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

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