Challenge Questions #1
Pre-Algebra and Introductory Algebra / FND M020 Fall 15 – FC2-19325-Nap A (Prof.
Abdon)
Student Name/ID:
1. The price of a notebook was $3.70 yesterday. Today, the price fell to $3.20 . Find the percentage
decrease. Round your answer to the nearest tenth of a percent.
2. A house has increased in value by 34 % since it was purchased. If the current value is $335,000 ,
what was the value when it was purchased?
3. Find x .
35 °
30 °
98 °
x°
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4. A rectangle is removed from a right triangle to create the shaded region shown below. Find the
area of the shaded region. Be sure to include the correct unit in your answer.
6 yd
2 yd
3 yd
7 yd
5. At the park there is a pool shaped like a circle with diameter 24 yd . A ring-shaped path goes
around the pool. Its width is 6 yd .
6 yd
24 yd
2
We are going to give a new layer of coating to the path. If one gallon of coating can cover 8 yd ,
how many gallons of coating do we need? Note that coating comes only by the gallon, so the
number of gallons must be a whole number. (Use the value 3.14 for π .)
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6. A swimming pool has to be drained for maintenance. The pool is shaped like a cylinder with a
diameter of 8 m and a depth of 1.5 m . Suppose water is pumped out of the pool at a rate of 19 m
per hour. If the pool starts completely full, how many hours will it take to empty the pool?
3
Use the value 3.14 for π , and round your answer to the nearest hour. Do not round any intermediate
computations.
7. A 17 -ft ladder leans against the side of a house. The bottom of the ladder is 9 ft from the side of
the house. How high is the top of the ladder from the ground? If necessary, round your answer to the
nearest tenth.
17
?
9
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8. There are four high schools in the East School District. The double bar graph below shows how
many boys and girls are at each school. Use this graph to answer the questions.
Boys
Number of students
Girls
600
500
400
300
200
100
0
Beach
Kennedy
Adams
Hillview
High school
(a)
Estimate the number of boys at Kennedy.
(b)
Which schools have more boys than girls?
(c)
Which school has the most students total?
9. Lamar has scored 99 , 71 , 58 , and 73 on his previous four tests. What score does he need on his
next test so that his average (mean) is 79 ?
∠ = 5 −5 °
∠ = 2 −7 °
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10. In the triangle below, suppose that m ∠ J = 5 x − 5 ° , m ∠ K = 2 x − 7 ° , and m ∠ L = x ° .
Find the degree measure of each angle in the triangle.
K
2x − 7 °
J
5x − 5 °
x°
L
11. Solve the following system of equations.
6 x + 9 y = −3
6x + 5y = 9
12. Find the greatest common factor of these three expressions.
8 u 2 , 20 u 3 , and 12 u 4
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Challenge Questions #1 Answers for class Pre-Algebra and
Introductory Algebra / FND M020 Fall 15 – FC2-19325-Nap A
1. 13.5 %
2. $250,000
3. x = 33
4. 34.5 yd 2
5. 71 gallons of coating
6. 4 hour(s)
7. 14.4 ft
8.
(a)
Estimate the number of boys at Kennedy.
430 boys
(b)
Which schools have more boys than girls?
Kennedy, Adams, and Hillview
(c)
Which school has the most students total?
Hillview
9. 94
10. m ∠ J = 115 °
m ∠ K = 41 °
m ∠ L = 24 °
=4
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11. x = 4
y = −3
12. 4 2
u
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