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

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

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 $3(x - 2) = 2x + 5$?

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?

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 $5x - 7 < 3x + 9$?

Accepted Answer

$x < 8$

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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