Question 1

A nurse needs to administer 0.75 liters of saline solution to a patient. If the solution is available in bottles containing 250 milliliters each, how many bottles are required?

Accepted Answer

$$4$$

Question 2

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

Accepted Answer

$$6x - 6$$

Question 3

A chemist mixes two solutions: one with $$30\%$$ acid and another with $$50\%$$ acid. If she wants to make $$100 mL of a$$ $$40\%$$ acid solution, how many milliliters of the $$30\%$$ solution should she use?

Accepted Answer

$$50 mL$$

Question 4

Which of the following is the correct solution to the equation $$3(x - 2) = 2x + 5$$?

Accepted Answer

Question 5

Which of the following is the correct solution to the equation $$3(x - 2) = 2x + 5$$?

Accepted Answer

$$x = 11$$

Question 6

A car rental company charges a flat fee of $$\25$ plus $$\$$0.20$$ per mile driven. If a customer paid $$\65$, how many miles did they drive?

Accepted Answer

$$200$$ miles

Question 7

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

Accepted Answer

$$(x + 3)(x - 3)$$

Question 8

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

Accepted Answer

$$17$$

Question 9

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

Accepted Answer

$$2$$

Question 10

A rectangle has a length that is $$3$$ times its width. If the perimeter is $$48$$ units, what is the area of the rectangle?

Accepted Answer

Question 11

A rectangle has a length that is $$3$$ times its width. If the perimeter is $$48$$ units, what is the area of the rectangle?

Accepted Answer

$$108$$ square units

Question 12

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

Accepted Answer

$$(2, 3)$$

Question 13

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

Accepted Answer

$$3^5$$

Question 14

A store is having a $$25\%$$ off sale. If an item originally costs $$\80$, what is the sale price?

Accepted Answer

$$\60$

Question 15

Which of the following is the correct solution to the inequality $$5x - 7 \u003c 3x + 9$$?

Accepted Answer

$$x \u003c 8$$

Question 16

Which of the following is the correct result of multiplying $$(x + 2)(x - 5)$$?

Accepted Answer

$$x^2 - 3x - 10$

Question 17

A biologist is studying a population of bacteria that doubles every $$3$$ hours. If there are $$500$$ bacteria now, how many will there be in $$9$$ hours?

Accepted Answer

$$4000$$

Question 18

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

Accepted Answer

$$-2[3x - 4x + 8] = -2[-x + 8] = 2x - 16$$

Question 19

Which of the following is the correct solution for $$x in $$the equation $$\dfrac{2x}{5} = 8$$?

Accepted Answer

$$x = 40$$

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

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