Question 1

Which of the following is the correct simplification of the expression $$2(3x - 4) - 5(x + 2)$$?

Accepted Answer

$$x - 14$$

Question 2

A chemist mixes a solution that is $$30\%$$ acid with a solution that is $$10\%$$ acid to make $$20$$ liters of a $$20\%$$ acid solution. How many liters of the $$30\%$$ solution should be used?

Accepted Answer

$$10$$

Question 3

Which of the following is the correct solution to the equation $$\dfrac{2x}{3} - 4 = 6$$?

Accepted Answer

$$x = 12$$

Question 4

A car rental company charges a flat fee of $$\25$ plus $$\$$0.20$$ per mile driven. If a customer paid $$\61$ for a rental, how many miles did they drive?

Accepted Answer

$$150$$

Question 5

Which of the following is the correct factorization of $$x^2 - 9x + 20$?

Accepted Answer

$$(x - 4)(x - 5)$$

Question 6

If the line $$y = -2x + 5$$ represents the cost (in dollars) to produce $$x$$ units of a product, what does the slope of the line represent in this context?

Accepted Answer

The decrease in cost per additional unit produced

Question 7

Which of the following is the solution to the system of equations: $$\begin{cases} 2x + y = 7 \ x - y = 1 \end{cases}$$?

Accepted Answer

$$(3, 1)$$

Question 8

Simplify the expression $$\dfrac{3^4$ \cdot 3^2$}{3^3$}$$ using exponent rules.

Accepted Answer

$$3^5$$

Question 9

A rectangle has a length that is $$4$$ meters more than twice its width. If the perimeter is $$28$$ meters, what is the width?

Accepted Answer

$$3$$

Question 10

Which of the following is the correct graph of the equation $$y = 2x - 3$$?

Accepted Answer

A line with slope $$2$$ and $$y-$$intercept $$-3$$

Question 11

Which of the following is the correct solution to the inequality $$5x - 7 \u003c 3x + 1$$?

Accepted Answer

$$x \u003c 4$$

Question 12

A store is having a $$25\%$$ off sale. If an item’s sale price is $$\60$, what was its original price?

Accepted Answer

$$\75$

Question 13

Which of the following is the correct simplification of $$-2[3 - 2(x - 4)]$$?

Accepted Answer

$$4x - 14$$

Question 14

If $$f(x) = 2x^2$ - 3x + 1$$, what is $$f(-2)$$?

Accepted Answer

$$15$$

Question 15

Which of the following is the correct factorization of $$4x^2 - 25$?

Accepted Answer

$$(2x + 5)(2x - 5)$$

Question 16

A medical researcher is mixing two solutions: one is $$40\%$$ saline and the other is $$10\%$$ saline. How many liters of the $$40\%$$ solution should be mixed with $$6$$ liters of the $$10\%$$ solution to obtain a $$25\%$$ saline solution?

Accepted Answer

$$6$$

Question 17

Which of the following is the correct solution to the equation $$\dfrac{5}{x} = 2$$?

Accepted Answer

$$x = 2.5$$

Question 18

Simplify the expression $$(2x^3y^2$)(-3x^2y^4$)$.

Accepted Answer

$$-6x^5y^6$

Question 19

Which of the following is the correct solution to the system of equations: $$\begin{cases} x + 2y = 8 \ 3x - y = 7 \end{cases}$$?

Accepted Answer

$$(2, 3)$$

Question 20

Which of the following is the correct simplification of $$\dfrac{2x^5$}{4x^2$}$$?

Accepted Answer

$$\dfrac{1}{2}x^3$

Elementary Algebra (MATH 090) Syllabus and Course Structure – University of Indianapolis

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