MATH138 City University of Seattle Algebra Quiz Questions

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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.