Question 1

Which property is illustrated by the equation $$a + (b + c) = (a + b) + c$$?

Accepted Answer

Associative Property

Question 2

A pharmacist needs to mix two solutions: one with 30% alcohol and one with 70% alcohol to obtain 100 mL of a 50% alcohol solution. How many mL of the 30% solution should be used?

Accepted Answer

$$50 mL$$

Question 3

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

Accepted Answer

$$6x - 6$$

Question 4

Which of the following is the correct solution to the equation $$3x + 5 = 2x - 7$$?

Accepted Answer

$$x = -12$$

Question 5

A car rental company charges a flat fee of $$\40$ plus $$\$$0.25$$ per mile driven. If a customer paid $$\65$, how many miles did they drive?

Accepted Answer

$$125$$ miles

Question 6

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

Accepted Answer

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

Question 7

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

Accepted Answer

$$19$$

Question 8

Which equation represents a line passing through the point $$(2, 5)$$ with a slope of $$-3$$?

Accepted Answer

$$y = -3x + 11$$

Question 9

Solve the system of equations: $$\begin{cases} x + y = 8 \ x - y = 2 \end{cases}$$

Accepted Answer

$$x = 5, y = 3$$

Question 10

Which of the following is the correct solution to $$\sqrt{x} = 7$$?

Accepted Answer

$$x = 49$$

Question 11

A biologist observes that the population of bacteria doubles every hour. If the initial population is $$500$$, what will the population be after $$4$$ hours?

Accepted Answer

$$8000$$

Question 12

Which of the following is the correct solution to $$2(x - 4) = 3x + 5$$?

Accepted Answer

$$x = -13$$

Question 13

Which of the following is the correct graph for the equation $$y = x^2$ - 4$$?

Accepted Answer

A parabola opening upwards with vertex at $$(0, -4)$$

Question 14

A chemical reaction requires mixing $$x$$ grams of substance A and $$y$$ grams of substance B such that $$2x + 3y = 18. If$$ $$y = 4$$, what is $$x$$?

Accepted Answer

$$x = 6$$

Question 15

Which of the following is the correct solution to the quadratic equation $$x^2 - 5x + 6 = 0$?

Accepted Answer

$$x = 2$$ and $$x = 3$$

Question 16

A student scored $$80 on $$the first test and $$90 on $$the second test. What score must they get on the third test to have an average of $$85$$?

Accepted Answer

$$95$$

Question 17

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

Accepted Answer

$$\dfrac{x}{2y}$$

Question 18

Which of the following is the correct solution to $$|2x - 5| = 9$$?

Accepted Answer

$$x = 7 or$$ $$x = -2$$

Question 19

A business's profit $$P is $$given by $$P = 3x^2$ - 2x + 100$$, where $$x is $$the number of units sold. What is the profit if $$x = 10$$?

Accepted Answer

$$380$$

Question 20

Which of the following is the correct solution to the system $$\begin{cases} 2x + 3y = 12 \ x - y = 1 \end{cases}$$?

Accepted Answer

$$x = 3, y = 3$$

College Algebra Course Syllabus and Weekly Topic Guide

스터디 가이드 - 연습 문제

학습 가이드 - 플래시카드