Question 1

A chemist needs to prepare 100 mL of a 30% saline solution by mixing a 20% solution and a 50% solution. How many milliliters of the 50% solution should be used?

Accepted Answer

$$33.3$$

Question 2

Solve for $$x$$: $$3(x - 2) = 2x + 7$$

Accepted Answer

Question 3

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

$$200$$

Question 4

Which of the following is the solution to the inequality $$2x - 5 \u003c 9$$?

Accepted Answer

$$x \u003c 7$$

Question 5

Solve the compound inequality: $$-3 \u003c 2x + 1 \leq 7$$

Accepted Answer

$$-2 \u003c x \leq 3$$

Question 6

Which of the following is the solution to $$|3x - 4| = 8$$?

Accepted Answer

Question 7

Which of the following is the equation of the line passing through the points $$(2, 5)$$ and $$(4, 9)$$?

Accepted Answer

$$y = 2x + 1$$

Question 8

A biologist is tracking the population of a bacteria culture, which doubles every 3 hours. If the initial population is $$500$$, what will the population be after $$9$$ hours?

Accepted Answer

$$4000$$

Question 9

Which of the following is the correct simplification of $$\frac{2x^3$y^2$$}{$$4x^2y^5$}$$?

Accepted Answer

$$\frac{1}{2}x y$$^{-3}$$

Question 10

Which of the following is the result of $$(3x^2 - 2x + 4$$) + $$(5x^2 + x - 7$$)$$?

Accepted Answer

$$8x^2 - x - 3$

Question 11

Divide: $$\frac{6x^3$ - 9x^2$}{3x}$$

Accepted Answer

$$2x^2 - 3x$

Question 12

Factor completely: $$6x^2 + 11x + 3$

Accepted Answer

$$(2x + 3)(3x + 1)$$

Question 13

Solve the quadratic equation by factoring: $$x^2 - 5x + 6 = 0$

Accepted Answer

$$x = 2 or$$ $$x = 3$$

Question 14

Solve using the quadratic formula: $$2x^2 - 4x - 6 = 0$

Accepted Answer

$$x = 3 or$$ $$x = -1$$

Question 15

A pharmacist needs to mix a 10% alcohol solution with a 40% alcohol solution to obtain 60 mL of a 25% solution. How many milliliters of the 10% solution should be used?

Accepted Answer

$$30$$

Question 16

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

Accepted Answer

Question 17

Simplify: $$\left( x^2$ y^3$ \$$right)^4$$

Accepted Answer

$$x^8$$ $$y^{12}$$

Question 18

Which of the following is the correct result of $$\frac{3x^2$ - 12}{x}$$?

Accepted Answer

$$3x - \frac{12}{x}$$

Question 19

A train travels 180 miles in 3 hours. What is its average speed?

Accepted Answer

$$60$$ miles per hour

Intermediate Algebra Course Topics and Study Guide

스터디 가이드 - 연습 문제

학습 가이드 - 플래시카드