1. The length of one of the equal legs of an isosceles triangle is 8 cm less than 4 times the length of the base. If the perimeter is 29 cm, find the length of one of the equal legs.
A) 11 cm B) 4 cm C) 12 cm D) 5 cm
2. Solve. 3(x – 2) – 2x = x – 6
A) Identity B) 0 C) No solution D) 1
4. Translate the following statement into an algebraic equaion. Let x represent the number.
6 times a number is 14 more than that number.
A) 6x = x + 14 B) 6x + 14 = x C) 6x = 14x D) 6 = 14x + x
6. Allen bought 20 stamps at the post office in 37¢ and 20¢ denominations. If the total cost of the stamps was $7.06, how many 37¢ stamps did Allen buy?
A) 16 B) 18 C) 15 D) 17
8. Convert 8.6 to a percent.
A) 860% B) 8.6% C) 0.086% D) 86%
9. A rectangular solid has a base with length 10 cm and width 5 cm. If the volume of the solid is 150 cm3, find the height of the solid. [Hint: The volume of a rectangular solid is given by V = LWH.]
A) 3 cm B) 5 cm C) 2 cm D) 4 cm
10. Solve. –8x + 8 + 10x = 2x + 1
A) No solution B) Identity C) 0 D) 1
11. Identify the base in the statment "20% of 500 is 100."
A) 500 B) 100 C) 20%
12. A principal of $5000 was invested in a savings account for 4 years. If the interest earned for the period was $400, what was the interest rate?
A) 2.5% B) 2% C) 1% D) 1.5%
13. Solve. –7x = –14
A) –98 B) 98 C) 2 D) –2
14. Convert 0.32 to a percent.
A) 32% B) 3.2% C) 0.32% D) 0.0032%
15. A television is marked down from $350 to $308. What is the discount rate?
A) 12% B) 87% C) 11% D) 13%
16. Solve. 6(2 – x) = 4x
17. A real estate agent received a 6% commission on the sale of a home. If the home sold for $540,000, how much was his commission?
18. Tickets for an event cost $4 for children, $12 for adults, and $7 for senior citizens. The total ticket sales were $1920. There were 50 more adult tickets sold than child tickets, and the number of senior citizens tickets were 4 times the number of child tickets. How many of each ticket were sold?
19. Solve. 19x – 3(5x – 0.065) = 3x + 0.615
20. Solve. –6(6x – 5) + 6(6x + 5) = x – 10
21. Solve. 80 = 10x
22. Anna has 12 bills in her wallet, some $5 and some $10. The total value of the bills is $100. How many of each bill does Anna have?
23. Of 25 students in a class, 19 passed. What percentage of the students passed?
24. Find the mean.
–7, –2, 5, 10, 12, 18
25. Enrique puts 12% of his monthly paycheck in an IRA. If he invests $72 in his IRA, how much was his paycheck?