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MATH138: College Algebra

Quiz 1 Handout

REMEMBER TO SHOW ALL YOUR WORK

1. Solve.

3x + 1 2 x 3

−

=

2

3 2

2. Solve.

The profit, in dollars, from selling x units of Blu-ray players is given by P = 35x − 250 .

Set up and solve the equation to find out how many Blu-ray players must be sold to

obtain a profit of $1,045 ?

3. Solve the quadratic equation using any method.

0.25 x 2 = 0.5 x + 1

4. Solve.

The profit, p (in dollars), for q units manufactured is given by the equation

p = −0.01q2 + 30q − 4500 .

a. What is the profit obtained when 980 units are produced?

b. How many units must be produced to obtain a profit of $18,000 ?

5. Find all solutions to the quadratic equation.

− x2 + x = 5

6. Find all real solutions of the polynomial equation.

x 4 − 5 x 2 = 24

(Continued on next page.)

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MATH138: College Algebra

Quiz 1 Handout

REMEMBER TO SHOW ALL YOUR WORK

7. Find all real solutions of the rational equation.

1 4 3

+ =

2x 5 x

8. Solve the inequality and express your answer in interval notation.

−2 x − 1

x+5

2

9. Solve.

A salesperson earns $250 a week in salary plus 18% commission on total sales. How

much money must the salesperson generate in sales in one week to earn a total of at least

$850 for the week?

10. Solve the inequality and express your answer in interval notation. Graph the solution

set on the number line.

−1 + 7 x 13

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For individual student use only.

Do not copy or distribute.