Question 1

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

Accepted Answer

Question 2

Given the equation $$2x + 3y = 12$$, which of the following points is a solution?

Accepted Answer

$$(6, 0)$$

Question 3

A car rental company charges a flat fee of \$$25 plus \0.20 $$per mile driven. If your total bill was \$65, how many miles did you drive?

Accepted Answer

$$200$$

Question 4

Which of the following equations represents a line with slope $$-\frac{3}{2}$$ and $$y-$$intercept $$4$$?

Accepted Answer

$$y = -\frac{3}{2}x + 4$$

Question 5

Solve for $$x$$: $$\frac{2x}{3} - 5 = 1$$

Accepted Answer

$$x = 9$$

Question 6

Which of the following is the solution set for $$2(x - 1) = 2x + 5$$?

Accepted Answer

$$x = -7$$

Question 7

A rectangular garden has a length that is 3 feet more than twice its width. If the perimeter is 36 feet, what is the width?

Accepted Answer

$$6$$

Question 8

Which of the following is the $$x-$$intercept of the line $$y = 2x - 8$$?

Accepted Answer

$$(4, 0)$$

Question 9

Solve for $$x$$: $$\frac{3}{x} = 6$$

Accepted Answer

Question 10

Which of the following is the solution to $$x^2 = 25$?

Accepted Answer

$$x = 5, -5$$

Question 11

If $$f(x) = x^2$ - 4x + 3$$, what is $$f(2)$$?

Accepted Answer

$$-1$$

Question 12

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

Accepted Answer

$$x = 4$$

Question 13

A student invests \$$2,000 in two accounts, one paying 5% and the other 8% annual interest. If the total interest earned in one year is \136$$, how much was invested at 8%?

Accepted Answer

$$1,200$$

Question 14

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

Accepted Answer

$$x = 49$$

Question 15

Solve for $$x$$: $$\frac{x}{4} + 2 = 5$$

Accepted Answer

$$x = 12$$

Question 16

Which of the following is the solution to $$x^2 + 2x = 0$?

Accepted Answer

$$x = 0, -2$$

Question 17

If $$y = 3x - 7$$, what is the value of $$x$$ when $$y = 2$$?

Accepted Answer

$$x = 3$$

Question 18

Which of the following is the solution to $$\frac{2}{x} = 8$$?

Accepted Answer

Question 19

Which of the following is the solution to $$x^2 - 9 = 0$?

Accepted Answer

$$x = 3, -3$$

Question 20

A job pays an annual salary of \$$33,774, which includes a holiday bonus of \1$$,275. If paychecks are issued twice a month, what is the gross amount for each paycheck?

Accepted Answer

$$1,352.25$$

College Algebra: Equations, Graphs, and Applications – Comprehensive Study Notes

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