Download EXAM 4 CH 8

EXAM 4 CH 8-10 #4
Pre-Algebra / Math 351 – 1 (Prof. Washburn)
Student Name/ID:
1. A bottle holds 64 fluid ounces of lemonade. How much is this in pints?
Use the table below. Include the correct unit in your answer.
Capacity
Unit
Symbol
Fact
fluid ounce
fl oz
cup
c
pint
pt
1 pt = 2 c
quart
qt
1 qt = 2 pt
gallon
gal
1 gal = 4 qt
1 c = 8 fl oz
2. Convert 49 ° F to degrees Celsius.
If necessary, round your answer to the nearest tenth of a degree.
Here are the formulas.
5
F − 32
9
9
F = C + 32
5
C=
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3. Find the perimeter of the square. Be sure to write the correct unit in your answer.
17 yd
4. Find the area of the figure. (Sides meet at right angles.)
3 yd
3 yd
2 yd
2 yd
4 yd
4 yd
5 yd
5. For the following right triangle, find the side length x . Round your answer to the nearest
hundredth.
x
14
7
9 ft
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6. The length of a shadow of a building is 9 ft. The distance from the top of the building to the tip of
the shadow is 16 ft. Find the height of the building. If necessary, round your answer to the nearest
tenth.
16
?
9
7. The graph below shows how much money was given to a charity over five months.
Donation amount (in dollars)
4500
4300
4100
3900
3700
3500
March
April
May
June
July
Month
(a) What was the greatest donation amount in a month?
(b) When did the greatest increase in donations occur?
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8. Graph the line.
y = 4x
y
8
6
4
2
x
-8
-6
-4
-2
2
4
6
8
-2
-4
-6
-8
9. Graph the line.
y =−
3
x +1
4
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10. Find the x -intercept and the y -intercept of the line below.
y
6
5
4
3
2
1
x
-6
-5 -4
-3
-2
-1
-1
1
2
3
4
5
6
-2
-3
-4
-5
-6
11. Find the x -intercept and y -intercept of the line.
3 x − 6 y = 12
x -intercept: _______________
y -intercept: _______________
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12. The equation of a line is given below.
3 x − 6 y = 12
Find the x -intercept and the y -intercept.
Then use them to graph the line.
x -intercept: _______________
y -intercept: _______________
y
8
6
4
2
x
-8
-6
-4
-2
2
4
6
8
-2
-4
-6
-8
13. Multiply.
2 w 4 y 3 ·2 y 7 ·5 w
Simplify your answer as much as possible.
14. Simplify.
−4 w u 4
3
Write your answer without parentheses.
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15. Simplify.
−3 x y 2 z 3
−x 3 y z 4
2
16. Rewrite without parentheses.
−3 v
5
2
−4 v + 8 v − 3
Simplify your answer as much as possible.
17. Multiply.
3b − 2 4b + 1
Simplify your answer.
18. Rewrite without parentheses and simplify.
w +5
2
19. Multiply.
9w + 4u 9w − 4u
Simplify your answer.
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20. Evaluate the expressions.
−7
0
=
0
2
2
5
=
21. Rewrite the following without an exponent.
−9
−1
22. Simplify.
4 x y −2 ·7 y −8 w 3 ·3 w −3 x −6
Use only positive exponents in your answer.
23. Simplify.
−4 x −5 y 2
3
Write your answer using only positive exponents.
24. Write 784 in scientific notation.
25. Calculate.
2 × 10 5 3.2 × 10 9
Write your answer in scientific notation.
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EXAM 4 CH 8-10 #4 Answers for class Pre-Algebra / Math 351
–1
1. 4 pt
2. 49 ° F = 9.4 ° C
3. 68 yd
4. 47 yd 2
5. 12.12
6. 13.2 ft
7. (a) What was the greatest donation amount in a month?
$4400
(b) When did the greatest increase in donations occur?
March to April
y
8.
(2, 8)
8
6
4
(1, 4)
2
x
(0, 0)
-8
-6
-4
-2
2
4
6
8
-2
-4
-6
-8
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9.
10. x -intercept: −2
y -intercept: 2
11. x -intercept: 4
y -intercept: −2
12. x -intercept: 4
y -intercept: −2
y
8
6
4
2
x
-8
-6
-4
-2
2
4
6
8
-2
-4
-6
-8
13. 20
5 10
w y
14. −64 3 12
w u
15. −3 7 4 11
x y z
16. 12 7 − 24 6 + 9 5
v
v
v
17. 12 2 − 5 − 2
b
b
18.
2
w + 10 w + 25
2
2
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2
2
w − 16 u
19. 81
20.
−7
2
2
5
21.
−
0
=1
0
=2
1
9
84
22.
y
23.
−
10 5
x
64 y 6
x
15
24. 7.84 × 10 2
25. 6.4 × 10 14
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