MATH 070
MATH 070
Sample Test 3A
1) Factor completely:
a) [pic]
b) [pic]
c) [pic]
d) [pic]
e) [pic]
f) [pic]
g) [pic]
2) Solve for [pic] [pic]
In problems 3, 4, and 5 you must identify any variables introduced, write and solve an appropriate equation. In problem 4 you must draw and label a figure appropriately.
3) The sum of two numbers is 25, and the sum of their squares is 325. Find the numbers.[pic]
4) Two boats travel at a right angle to each other after leaving the same dock at the same time. One hour later the boats are 17 miles apart. If one boat travels 7 miles per hour faster than the other boat, find the rate of each boat.
5) A 6-foot tall person drops an object from the top of the Western Peachtree Plaza in Atlanta, Georgia. The Westin building is 723 feet tall. The height [pic]of the object after [pic] seconds is given by the equation [pic]. Find how many seconds pass before the object reaches the ground.
6) Divide: [pic]
7) Simplify: [pic]
Answers:
1) a) [pic]
b) [pic]
c) [pic]
d) [pic]
e) [pic]
f) [pic]
g) [pic]
2) [pic]
3) 10 and 15
4) Slow boat, 8 mph; fast boat, 15 mph
5) 6.75 sec.
6) [pic]
7) [pic]
MATH 070
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