Question 1

Which of the following best describes the Distributive Law in algebra?

Accepted Answer

It states that $$a(b + c) = ab + ac$$

Question 2

A nurse needs to mix a 10% saline solution with a 30% saline solution to obtain 100 mL of a 20% solution. How many milliliters of the 10% solution should be used?

Accepted Answer

$$50 mL$$

Question 3

Simplify the expression: $$2x^2 - 3x + 4$$ - $$(x^2 + x - 2$$)$$

Accepted Answer

$$x^2 - 4x + 6$

Question 4

Which of the following is the solution set for the inequality $$2x - 5 \u003e 7$$?

Accepted Answer

$$x \u003e 6$$

Question 5

A car rental company charges a flat fee of $$\40$ plus $$\$$0.20$$ per mile driven. If a customer is charged $$\60$, how many miles did they drive?

Accepted Answer

$$100$$ miles

Question 6

Which of the following is the correct interval notation for the solution to $$-3 \u003c x \leq 5$$?

Accepted Answer

$$(-3, 5]$$

Question 7

What is the slope of the line passing through the points $$(2, 5)$$ and $$(6, 13)$$?

Accepted Answer

$$2$$

Question 8

Which of the following is a function?

Accepted Answer

$$y = x^2$

Question 9

Factor the trinomial: $$x^2 - 5x + 6$

Accepted Answer

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

Question 10

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

Accepted Answer

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

Question 11

Which of the following is the solution to the equation $$\frac{2}{x} = 8$$?

Accepted Answer

Question 12

A chemist needs to dilute a $$50\%$$ acid solution to make $$200 mL of a$$ $$20\%$$ acid solution. How much water should be added?

Accepted Answer

$$120 mL$$

Question 13

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

Accepted Answer

$$5.6 	imes 10$$^{-4}$$

Question 14

Solve for $$x$$: $$3(x - 2) = 2x + 5$$

Accepted Answer

$$x = 11$$

Question 15

Which of the following is the result of multiplying $$(x + 4)(x - 2)$$?

Accepted Answer

$$x^2 + 2x - 8$

Question 16

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

Accepted Answer

$$7$$

Question 17

Which of the following is the solution to the system of equations: $$x + y = 10$$ and $$x - y = 2$$?

Accepted Answer

$$x = 6, y = 4$$

Question 18

Which of the following is the simplified form of $$\sqrt{50}$$?

Accepted Answer

$$2\sqrt{5}$$

Question 19

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

Accepted Answer

$$(-1, 4]$$

MAT055 Algebra Concepts: Course Structure, Topics, and Study Guide

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