Free Pre-Algebra
Practice Quiz Through Lesson 42 ! page 1
Through Lesson 42
Practice Quiz
Name_________________________________________
1. Fill in the blank.
2. Fill in the chart with the equivalent versions.
FRACTION
In the decimal 0.127, the digit 2 is in the
DECIMAL
0.125
_______________ths_ place.
0.05
If 0.127 is written as a fraction, the
211/12
denominator will be ______________.
15/4
3. The circumference of a circle is 8.5 meters. Find the
radius of the circle to the nearest tenth.
4. The radius of the earth is approximately 6,378 kilometers.
Find the volume of the earth. Write the volume in scientific
and standard notation. Round to the nearest billion.
V=
4 3
!r
3
5. Simplify 0.06(10,000 – x) + 0.04x
6. Solve the equation 0.5x – 13 = 31
7. Write the numbers in standard form.
8. Write the numbers in scientific notation.
a. 18.2 billion
a. 18.2 billion
b. 7.3 x 105
b. 60,000,000,000,000
c. 9.1 x 1017
c. 112,800,000
© 2010 Cheryl Wilcox
Free Pre-Algebra
Practice Quiz Through Lesson 42 ! page 2
9. Compare the numbers with >, <, or =.
a.
1 67
3 200
b.
1
0.3
3
c. 0.32
10. In 1936, athlete Jesse Owens completed the 100-meter
dash in 10.2 seconds, a new world record. In 1968, athlete
Jim Hines completed the 100-meter dash in 9.9 seconds.
Find the difference in their times and compare in one or
more sentences.
0.320
11. You are designing a model of the Empire State Building, which has the measurements
shown. You would like your finished model to be a total of 2 feet tall.
a. What is the total height of the building?
a. What is the scale of your model?
b. What will be the height on your model corresponding to 1250 feet? (To the nearest tenth)
c. What is the ratio of the height of the spire and lightning rod (248 feet) to the total height of the
building?
d. What percent of the building’s height is the spire? Round to the nearest whole percent.
12. Find the Blood Alcohol Concentration for a 150-lb
woman who has consumed 3 drinks (1.8 oz alcohol).
13. a. A metal bar is 8 cm by 4 cm by 2 cm. What is the
volume?
7.8A
W
b. The bar weighs 1184 grams. What is the density?
Is this above or below the legal driving limit of 0.08?
© 2010 Cheryl Wilcox
Free Pre-Algebra
Practice Quiz Through Lesson 42 ! page 3
14. A rectangular picture is being enlarged. The original has
length 18 cm and width 21 cm. The enlargement will be
similar and have length 87 cm. What is the width of the
enlargement?
15. A pipe fills a tank at the rate of 16 gallons per minute. If
the tank took 98 minutes to fill, what was its capacity?
.
16. In 2003, the gasoline useage in the U.S. was about 360
million gallons each day. The population of the U.S. in 2003
was 290 million people. What was the rate of gas usage in
gallons per person each day in 2003? (Round using your
judgment.)
17. If 360 million gallons of gasoline were used each day,
how many gallons were used that year (365 days)? Write the
answer in scientific notation, standard form, and with a place
value name.
18. Fill in the table with the equivalent values.
19. Clayton scored 376 points out of the 400 possible on the
assignment. What was Clayton’s percent score?
FRACTION DECIMAL PERCENT
0.002
0.02
0.2
0.22
Hayley got 88% of the 400 points possible on the same
assignment. How many points did Hayley get?
2.0
1/20
20. If the sales tax rate is 7.25%, and your meal cost $58.68,
how much will the tax be?
What would a 20% tip on your meal come to?
.
© 2010 Cheryl Wilcox
21. The shoes that originally cost $87.99 are on sale for 20%
off. What is the new price?
Free Pre-Algebra
Practice Quiz Through Lesson 42 ! page 1a
Through Lesson 42
Practice Quiz Answers
1. Fill in the blank.
2. Fill in the chart with the equivalent versions.
FRACTION
DECIMAL
1/8
0.125
8/9
0.888…
If 0.127 is written as a fraction, the
1/20
0.05
denominator will be __1000____.
211/12
2.916666…
15/4
3.75
In the decimal 0.127, the digit 2 is in the
___hundredths_ place.
3. The circumference of a circle is 8.5 meters. Find the
radius of the circle to the nearest tenth.
C = 2!r
8.5 = 2!r
r " 1.4
8.5 / (2! ) = 2!r / (2! )
The radius is about 1.4 meters.
4. The radius of the earth is approximately 6,378 kilometers.
Find the volume of the earth. Write the volume in scientific
and standard notation. Round to the nearest billion.
V=
4 3
!r
3
(
)
3
4
! 6378 km
3
" 1.086781293 # 1012 km3
V=
" 1,087,000,000,000 km3
5. Simplify 0.06(10,000 – x) + 0.04x
0.06 • 10,000 – 0.06x + 0.04x
600 – 0.02x
6. Solve the equation 0.5x – 13 = 31
0.5x ! 13 = 31
0.5x ! 13 + 13 = 31+ 13
0.5x = 44
0.5x / 0.5 = 44 / 0.5
x = 88
7. Write the numbers in standard form.
8. Write the numbers in scientific notation.
a. 18.2 billion
a. 18.2 billion
18,200,000,000
b. 7.3 x 105
1.82 x 1010
b. 60,000,000,000,000
730,000
c. 9.1 x 1017
910,000,000,000,000,000
© 2010 Cheryl Wilcox
6 x 1013
c. 112,800,000
1.128 x 108
Free Pre-Algebra
Practice Quiz Through Lesson 42 ! page 2a
9. Compare the numbers with >, <, or =.
a.
1 67
<
3 200
b.
1
> 0.3
3
10. In 1936, athlete Jesse Owens completed the 100-meter
dash in 10.2 seconds, a new world record. In 1968, athlete
Jim Hines completed the 100-meter dash in 9.9 seconds.
Find the difference in their times and compare in one or
more sentences.
In 1968, Jim Hines bested Jesse Owens’ 1936
record of 10.2 seconds for the 100-meter
dash, shaving 0.3 seconds from his time and
completing the race in 9.9 seconds.
c. 0.32 = 0.320
11. You are designing a model of the Empire State Building, which has the measurements
shown. You would like your finished model to be a total of 2 feet tall.
a. What is the total height of the building?
248 ft + 1250 ft = 1498 ft
a. What is the scale of your model?
model
2 ft
1
=
=
real
1498 ft 749
b. What will be the height on your model corresponding to 1250 feet? (To the nearest tenth)
1
x
=
749x = 1250
749 1250
x = 1.66889... ! 1.7 feet
c. What is the ratio of the height of the spire and lightning rod (248 feet) to the total height of the
building?
248 ft
= 0.165554...
1498 ft
d. What percent of the building’s height is the spire? Round to the nearest whole percent.
The spire is about 17% of the building’s height.
12. Find the Blood Alcohol Concentration for a 150-lb
woman who has consumed 3 drinks (1.8 oz alcohol).
13. a. A metal bar is 8 cm by 4 cm by 2 cm. What is the
volume?
7.8A 7.8(1.8)
=
= 0.0936
W
150
V = LWH = 8 cm 4 cm 2 cm = 64 cm3
Is this above or below the legal driving limit of 0.08?
Above
© 2010 Cheryl Wilcox
(
)(
)(
)
b. The bar weighs 1184 grams. What is the density?
d=
1184 g
3
64 cm
= 18.5 g/cm3
Free Pre-Algebra
Practice Quiz Through Lesson 42 ! page 3a
14. A rectangular picture is being enlarged. The original has
length 18 cm and width 21 cm. The enlargement will be
similar and have length 87 cm. What is the width of the
enlargement?
L
18 87
=
W
21 x
18x = 21• 87
18w = 1827
18w / 18 = 1827 / 18
w = 101.5
15. A pipe fills a tank at the rate of 16 gallons per minute. If
the tank took 98 minutes to fill, what was its capacity?
16 gal
1 min
• 98 min = 1568 gal
The tank held 1568 gallons.
The width of the enlargement was 101.5 cm.
16. In 2003, the gasoline useage in the U.S. was about 360
million gallons each day. The population of the U.S. in 2003
was 290 million people. What was the rate of gas usage in
gallons per person each day in 2003? (Round using your
judgment.)
360,000,000 gallons
290,000,000 people
= 1.24 gallons per person
17. If 360 million gallons of gasoline were used each day,
how many gallons were used that year (365 days)? Write the
answer in scientific notation, standard form, and with a place
value name.
360,000,000 gallons
• 365 days
day
= 1.314 ! 1011
= 131,400,000,000 gallons per year
131.4 billion gallons per year
18. Fill in the table with the equivalent values.
FRACTION DECIMAL PERCENT
1/500
0.002
0.2%
1/50
0.02
2%
1/5
0.2
20%
11/50
0.22
22%
2
2.0
200%
1/20
0.05
5%
19. Clayton scored 376 points out of the 400 possible on the
assignment. What was Clayton’s percent score?
376
= 0.94 = 94%
400
Hayley got 88% of the 400 points possible on the same
assignment. How many points did Hayley get?
Hayley’s points are 88% of 400 points.
0.88 • 400 = 352
Hayley got 352 points.
20. If the sales tax rate is 7.25%, and your meal cost $58.68,
how much will the tax be?
21. The shoes that originally cost $87.99 are on sale for 20%
off. What is the new price?
0.0725 • $58.68 = $4.2543
rounded to the nearest cent, $4.25.
100% – 20% = 80%
What would a 20% tip on your meal come to?
0.2 • $58.68 = $11.736
rounded to the nearest cent, $11.74.
© 2010 Cheryl Wilcox
0.8 • $87.99 = $70.392
The shoes cost $70.39.