Reference no: EM13529895

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?