Course 3 test 10b
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1. The ratio of in-state to out-of-state students at the university is 7 to 2.  If there are 18,000 students at the university, how many are from out of state? *
2. Refer to the image above.  A company is painting the exterior walls of a warehouse.  Find the lateral surface area of the walls in square feet. *
hint: lateral surface area does not include the roof and floor of the building, just the sides.
3. If a gallon of paint covers 400 square feet, how many gallons of paint are needed to paint the warehouse? *
4. Refer to the figure above.  What is the area of the quadrilateral? *
Hint - think about finding the area of the whole rectangle and subtracting the missing triangular segment!
5. What is the perimeter of the quadrilateral? *
hint: pythagorean theorem!
6. Richard can type 132 words in 4 minutes.  How many words can he type in 10 minutes at the same rate? *
7. The sales tax is 7.5%.  What is the tax on a $14.80 purchase? *
Hint: What is 7.5% of $14.80?  (Don't forget to change from percent to decimal!)
8. If 40% of the students in the class are boys, and there are 15 girls in the class, then how many students are in the class? *
9. A lawn sprinkler sprays a circular pattern 21 feet out from the sprinkler head.  About how many square feet of lawn does the sprinkler water? (You may want to use 22/7 for pi.) *
10. Dawn wants to tie a ribbon around the trunk of an oak tree that has a circular trunk about 30 inches in diameter.  Not counting the ribbon needed to make a bow, about hwo many inches of ribbon are needed just to reach around the tree? (Round to the nearest inch.) *
Hint: Circumference!
11. 2x - 1.5 = 2.1 *
solve for x
12.    1/2 x + 2/3 = 3/4 *
solve for x
13. Combine like terms: 2x + 3y - x + y *
14. The interior dimensions of Joshua's refrigerator are 4 ft by 2 1/2 ft by 2 ft.   Find the capacity (volume) of the refrigerator in cubic feet. *
hint: volume = base x height x length
15. Find 1/2 ( a + b) h when a = 7, b = 5, and h = 6 *
That's 1/2 times the sum of a and b times h
16. Combine like terms: 3(x +1) + 3(x +3) *
hint: distributive property first then combine like terms
17.  What is the result of the question above?   *
two and two thirds times one and one half minus three and three fourths
18. Simplify the expression above *
What does the expression above reduce to? *
20. What is the above expression equal to? *
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