1. True or False: 5 is a solution for the equation x + 3 = 13 – 2x.
2. Solve the equation and check the result.
x – 3 = 12
3. Translate the English language statement to an algebraic equation. Let x represent the number.
5 more than twice a number is 3 times that same number.
A) 2x – 5 = 3x
B) 2(x + 5) = 3x
C) 2x + 5 = 3(x + 5)
D) 2x + 5 = 3x
4. Solve the word problem. Be sure to show the equation you use for the solution.
The sum of a number and –7 is 18. What is the number?
5. True or false: –8 is a solution to the equation 5x = –40.
6. Solve for x and check your result.
12x – 5x = 42
7. An online music store charges $11.75 for each CD and a flat rate of $5.95 for mailing. If your total bill for a recent order is $88.20, how many CDs did you order?
10. Juan is three years older than twice his sister's age. If the sum of their ages is 36 years, how old is Juan?
11. The sum of three consecutive even integers is 96. What are the three integers?
12. Solve V = LWH for W.
13. A rectangular lawn has an area of 391 square feet (ft²). If the width of the lawn is 17 ft, what is the length? (A = lw)
A) 374 ft
B) 23 ft
C) 178.5 ft
D) 46 ft
14. $8,700 was invested at 9% interest and earned $4,698 interest. How many years was the principal deposited? (I = Prt)
15. Erin drove 4.5 h to attend a training session for work. On the return trip, her speed was 15 mi/h less, and the trip took 6 hours. What was her speed each way?
A) 75 mi/h, 60 mi/h
B) 55 mi/h, 40 mi/h
C) 60 mi/h, 45 mi/h
D) 50 mi/h, 65 mi/h
16. Complete the statement, using the symbol < or >.
–3 _____ 1
17. Write the inequality in words.
A) x is less than 6
B) x is less than or equal to 6
C) x is greater than 6
D) x is greater than or equal to 6
18. Graph the solution set of the inequality.
x < –2
22. Find the absolute value of the expression.
|–28|
23. Solve the equation.
|x – 7| + 6 = 20
A) {–7, 21}
B) {–21, 7}
C) {–21, –7}
D) {7, 21}
24. Solve the compound inequality. Write the solution in set-builder notation.
–7 < x – 2 < 11