Name_____________ 4/5/2004 Basic Math test on chapters 4 and 5 - Instuctor Decker

4 points per question, except that question #11 is worth 8 points.

Perform the operations as indicated and/or write in simplest form

no calculator!

1. MATH2. MATH

3. MATH4.MATH

5. MATH6. MATH

7. MATH8. Solve for x: MATH

9. Write in words: 45.2004 ___________________________________________________________________________________

10. Write as a fraction in simplest term: 3.15

11. Write as a decimal: a. MATHb. $\frac{1}{3}$

c. MATHd. $\frac{22}{7}$

Bonus: the number in 11d is approximately equal to what well known, special number?____

12. a. Fill in with >, <, or =: MATH

b. Round to the nearest thousandth: $3501.013499$_______________

$\ $Perform the indicated operations: show work

13. MATH14. $(0.03)^{2}$

15. For the expression: MATH(this is 48.3 divided by 7.97, even though the symbol may appear as a minus sign)

a. Estimate the answer. __________________

b. Perform the long division, showing work. Round your answer to the nearest tenth

16. Solve: MATH17. Simplify: MATH

18. A 25 foot ladder is leaned against a building such that the top of the ladder reaches the second story window. The window is 15 feet above the ground. Use the Pythagorean theorem: $a^{2}+b^{2}=c^{2}$to find how far the foot of the ladder is from the base of the building. Leave the answer in radical form.

19. Estimate $\sqrt{30},$by "sandwiching" $30$ between two known perfect squares; show your work. (

(find a perfect square larger than 30 and one smaller than 30)

20. Find the circumference of the circle with radius 7 cm (use the formula: $C$=$\pi d\ \ $)

a. leave your answer with a $\pi $ in it

b. find the circumference if you substitute 3.14 for $\pi $

21. Find the area of the triangle with base 12 and height 4, using the formula $A=\frac{1}{2}bh$ :

22. A toll house cookie recipe calls for $1\frac{1}{4}$cups of flour. If you cut the recipe in half, how much flour will you need?

23. The average annual salary for a connecticut resident with no college education is $14,000. The average annual salary increases to 24,000 if a person has a 2 year degree. How much more will a person earn per year if they have a 2 year degree compared to if they had no degree.

24. Connecticut state minimum wage is $7.10. (source: http://www.dol.gov/esa/minwage/america.htm#Connecticut)

a. If a person works a 40 hour week at $7.10 per hours, how much will a person earn in 1 week?

b. If the person is paid for 50 weeks per year, 40 hours a week, $7.10 per hours, how much will the person earn in 1 year?

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