1. True or False: –4 is a solution for the equation 8 – 4x = –8.
2. Solve the equation and check the result.
x – 5 = 9
3. Translate the English language statement to an algebraic equation. Let x represent the number.
6 more than a number is twice that same number.
4. Solve the word problem. Be sure to show the equation you use for the solution.
You and your friend have saved a total of $4,985 from your summer jobs. If you saved $2,108, how much did your friend save?
6. Solve for x and check your result.
12x – 5x = 42
7. Solve for x and check your result.
13x – 8x = 10
8. An online music store charges $10.75 for each CD and a flat rate of $5.95 for mailing. If your total bill for a recent order is $91.95, how many CDs did you order?
9. Simplify and then solve the equation. Express your answer in set notation.
8x – 2(5 – 2x) = 14
11. Juan is three years older than twice his sister's age. If the sum of their ages is 36 years, how old is Juan?
12. The sum of three consecutive even integers is 114. What are the three integers?
13. Solve V = LWH for W.
14. An isosceles triangle has two equal angles. If the third angle measures 54°, find the measure of the two equal angles. (A + B + C = 180)
15. $9,800 was invested at 8% interest and earned $7,056 interest. How many years was the principal deposited? (I = Prt)
16. It took Thomas 4 hours to drive uphill to a ski resort. Coming downhill on the way back, his speed was 15 mi/h faster, and the trip took only 3 hours. What was his speed each way?
17. Complete the statement, using the symbol < or >.
–4 _____ –7
18. Graph the solution set of the inequality. x>=-5
22. Find the value of the expression.|–31| – |–18|
23. Solve the equation.|x – 12| = 4
24. Solve the compound inequality. Write the solution in set-builder notation.
–12 < x – 4 < 9
25. Solve the inequality. Graph the solution set.
|3x – 2| > 4