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Posted: March 4th, 2021
College Algebra
1. Use the formula to solve for the given variable.
Solve
i = Prt for i, given that P = $8000, r = 9%, and t = 3 1/2 years. i = $____
2. Use the formula to solve for the given variable.
Solve
i = Prt for P, given that r = 8 ½ %, t = 4 years, and i = $374. P = $ ___
3. Solve the following for the indicated variable.
V = 1/3 Bh for B (Volume of a pyramid) B=___
4. Solve the following for the indicated variable.
F = 9/5 C + 32 for C (Celsius to Fahrenheit) C=___
5. Solve the problem by setting up and solving an appropriate algebraic equation.
Suppose that you have a supply of a 25% solution of alcohol and a 75% solution of alcohol. How many quarts of each should be mixed to produce 80 quarts that is 40% alcohol?
25% solution___ qt
75% solution___qt
6. Express the interval as an inequality using the variable x. For example, we can express the interval [5, ∞) as x ≥ 5.
(14, ∞)
7. Solve the inequality.
−5x ≥ 40
_____
Graph the solution set on a number line.
8. Solve the inequality.
3x − 4 > −10
_____
Graph the solution set on a number line.
9. Solve the inequality.
17 < 1 − 8x
_____
Graph the solution set on a number line.
10. Solve the inequality and express the solution set using interval notation.
−5(3x + 4) < −2(7x − 1)
____
11. Solve the inequality and express the solution set in interval notation.
1/4 x − 5/3x < − 17
_____
12. Graph the solution set for the compound inequality.
x > −3 and x < 7
_____
Express the solution set in interval notation. (Enter EMPTY or ∅ for the empty set.) ___
13. Solve the compound inequality and graph the solution set.
x − 3 > −1 and x − 3 < 1
______
Express the solution set in interval notation. ___
14. Solve the problem by setting up and solving an appropriate inequality.
Mona invests $1000 at 9% yearly interest. How much does she have to invest at 4% so that the total yearly interest from the two investments exceeds $150?
more than $___
15. Solve the equation.
|2x − 4| = 6
x = ___ (smaller value)
x = ____ (larger value)
16. Solve the equation.
|2 − 2x| = 6
x = ___ (smaller value)
x = ____ (larger value)
17. Solve the equation.
|2x − 8| + 9 = 17
x = ___ (smaller value)
x = ____ (larger value)
18. Solve the equation.
|7x − 6| + 8 = 8
X=___
19. Solve the inequality. (Enter your answer using interval notation.)
|x| > 4
_____
Graph the solution.
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