Susan O. Johnsey MathinaBox.com sjohnsey@bellsouth.net

Nothing on this test is intended to be tricky.

Please show a little work on each problem where possible.

DO NOT USE A CALCULATOR. I need to understand what you know when you are working without any type of math help.

Send your answers/work by email, please.

I will reply within one day. Please let me know with a polite note if I do not.

Complete test within 1 hour. Tell me the time that you took.

* means multiply.

1. Evaluate: -5 +12 =

2. Evaluate: -5 -12 =

3. Evaluate: 5 -12 =

4. Evaluate: -5 + (-12) =

5. Simplify: (3)*(5)^{2} =

Hint: You need to recall the Order of Operations for math here.

6. Simplify: 40 divided by 5*2 =

7. Simplify: 8 – 5*(-5 +3) =

8. Simplify: 2/3 + 3/5 = ( these are the fractions 2-thirds and 3-fifths.)

9. Simplify: -8 +8 =

10. Simplify 2x + [2 – 4] + 3(-4 +5x) =

11. Simplify -4x^{2} – 2x^{2} + 5x – 9x^{2} =

12. Translate to a variable expression: the product of 5 and the square of a number.

13. Is 0.2 a solution of 2x – 4 = 0 ? ( must show some of your work)

14. Is -2 a solution of 4x + 7 = -21 ? ( must show some of your work)

15. Solve for x: ( must show some of your steps) 6 = x – 3 + 2x

16. Solve for x: ( must show some of your steps) 8 + 5(x+4) = 3

17. Translate into a variable equation and then solve. Give your equation and your answer.

Fifty-four is 5 times the difference between a number and 6.

18. 80 is 80% of what number?

19. 125 is what percent of 625?

20. 30% of a class is boys. There are 120 children in the class. How many boys are there?

21. SUBTRACT: (4X^{2} – 6X + 7) – ( 7X^{2} +5X – 3)

22. MULTIPLY then simplify: – 4x( 4X + 8)

23. MULTIPLY then simplify: (x +3p)(x – 5p)

24. DIVIDE (24x^{2} + 40x) BY 8x.

25. Factor completely: v^{2} – 12v +20

26. Factor completely: x^{2}– 64.

27. Simplify: -0.0719 + 8 =

28. Find the area of a rectangle whose length is 16 feet and width is 25 feet.

29. Find the perimeter of a rectangle whose length is 16 feet and width is 25 feet.

30. A circle has a diameter or 12 inches.

a. Find its radius. b. Find its circumference. c. Find its area.