Download Practice Quiz for Lessons 25-36

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Practice Quiz Through Lesson 36 ! page 1
Through Lesson 36
Practice Quiz
Name __________________________________________
1. Find equivalent fractions with a common denominator for
the pair of fractions.
2. Add.
9
14
16
21
7
3. How many 11/3 foot lengths can be cut from an 8 ft string?
4. Simplify.
a. Mark the cuts on the string.
2
x
x ! 21 +
3
3
9
16
+8
14
21
(
)
b. Write and solve the corresponding divison problem.
5. Evaluate
y +1
2
when y = .
5
5
6. a. How many inches in one mile?
(12 inches = 1 foot, 5280 feet = 1 mile)
b. What fraction of a year is 1 hour?
(24 hours = 1 day, 365 days = 1 year)
7. Solve the equation.
4h !
1 7
=
5 10
© 2010 Cheryl Wilcox
8. Solve the equation.
7
5 19
w+ =
3
3 3
Free Pre-Algebra
9. Change the fractions to decimals.
Practice Quiz Through Lesson 36 ! page 2
10. Change the decimals to fractions in lowest terms.
a.
9
100
a. 0.61
b.
9
5
b. 0.25
c. 0.125
5
c.
9
11. Use the formula F = 1.8C + 32 to find the
Fahrenheit temperature equivalent to 16.5ºC.
12. Find the area of a circle with diameter 9.25 m. Round to the
nearest hundredth.
15. Find the volume of a sphere with radius 6
inches. Round to the nearest whole number.
16. Find the approximate radius of a circle with circumference 201
cm. Round to the nearest whole number.
V=
4 3
!r
3
17. Solve the equation.
0.6x ! 0.7 = 2.3
© 2010 Cheryl Wilcox
18. Simplify and solve the equation.
(
)
0.05 10,000 ! x + 0.03x = 340
Free Pre-Algebra
Practice Quiz Through Lesson 36 ! page 3
19. Write the underlined numbers in standard form and in
scientific notation.
20. Translate the numbers from scientific notation to
standard form.
According to US Bureau of Transit Statistics there were
250.84 million registered passenger vehicles in the U.S. in
2006. In the same year there were 168.03 million vehicles
registered in China.
The U.S. population 2006 was 3.000 x 108 people.
21. a. Compare the number of registered automobiles in the
U.S. to the number of registered vehicles in China.
22. a. Compare the U.S. population in 2006 to the population
of China in 2006.
b. Compute the difference in the number of registered
vehicles, and compare.
b. What is the ratio of the population of China to the
population of the U.S.?
c. Compare the numbers using the difference.
c. Compare the populations using the ratio.
23. Compute the rate of people per vehicle for each country
in 2006. Round to the nearest hundredth.
a. U.S.
b. China
© 2010 Cheryl Wilcox
The population of China in 2006 was 1.341 x 109 people.
Free Pre-Algebra
Practice Quiz Through Lesson 36 ! page 1a
Through Lesson 36
Practice Quiz Answers
1. Find equivalent fractions with a common denominator for
the pair of fractions.
2. Add.
9
9 3
=
• =
14 2 • 7 3
16
16 2
=
• =
21 3 • 7 2
7
27
42
32
42
9
16
27
32
59
+8
=7
+8
= 15
14
21
42
42
42
= 15 + 1
3. How many 11/3 foot lengths can be cut from an 8 ft string?
a. Mark the cuts on the string.
4. Simplify.
(
)
=
2
1
4
3
8÷1 = 8÷ = 8•
=6
3
3
4
y +1
2
when y = .
5
5
! 2$
2 5
+
#" 5 &% + 1
5
5 = 7 ÷5
=
5
5
5
7 1 7
= • =
5 5 25
7. Solve the equation.
4h !
1 7
=
5 10
1 7
1 1 7 1
=
4h ! + =
+
5 10
5 5 10 5
7
2
9
9
4h =
+
=
4h / 4 =
/4
10 10 10
10
9 1 9
h=
• =
10 4 40
4h !
© 2010 Cheryl Wilcox
()
2
2
x 2
x ! 21 + = x !
3
3 3
3
b. Write and solve the corresponding divison problem.
5. Evaluate
17
17
= 16
42
42
" 7 % x
$ 21 ' +
# & 3
2
1
3
x + x ! 14 = x ! 14
3
3
3
= x ! 14
6. a. How many inches in one mile?
(12 inches = 1 foot, 5280 feet = 1 mile)
1 mi 5280 ft 12 in
•
•
= 63,360 in
1
1 mi
1 ft
b. What fraction of a year is 1 hour?
(24 hours = 1 day, 365 days = 1 year)
1 hr 1 day 1 year
1
•
•
=
year
1 24 hr 365 day 8760
8. Solve the equation.
7
5 19
w+ =
3
3 3
7w + 5 = 19
7w = 14
w =2
7w + 5 ! 5 = 19 ! 5
7w / 7 = 14 / 7
Free Pre-Algebra
Practice Quiz Through Lesson 36 ! page 2a
9. Change the fractions to decimals.
10. Change the decimals to fractions in lowest terms.
a.
9
= 0.09
100
a. 0.61=
61
100
b.
9
= 1.8
5
b. 0.25 =
25
1
=
100 4
c.
5
= 0.5
9
c. 0.125 =
11. Use the formula F = 1.8C + 32 to find the
Fahrenheit temperature equivalent to 16.5ºC.
(
)
125
1
=
1000 8
12. Find the area of a circle with diameter 9.25 m. Round to the
nearest hundredth.
r =d /2
F = 1.8 16.5 + 32
(
r = 9.25 / 2
A = !r 2 = ! 4.625 m
= 61.7ºF
)
2
" 67.20 m2
15. Find the volume of a sphere with radius 6
inches. Round to the nearest whole number.
V=
4 3
!r
3
16. Find the approximate radius of a circle with circumference 201
cm. Round to the nearest whole number.
C = 2!r
(
4 3 4
!r = ! 6 in
3
3
3
" 905 in
V=
)
3
17. Solve the equation.
r " 32 cm
18. Simplify and solve the equation.
0.6x ! 0.7 = 2.3
6x ! 7 = 23
6x = 30
x =5
2!r = 201
6x ! 7 + 7 = 23 + 7
6x / 6 = 30 / 6
(
)
0.05 (10,000 ! x ) + 0.03x = 340
0.05 10,000 ! x + 0.03x = 340
500 ! 0.05x + 0.03 = 340
500 ! 0.02x = 340
!0.02x + 500 = 340
!0.02x = !160
x = 8000
© 2010 Cheryl Wilcox
(201 cm) = 2!r
2!r / (2! ) = 201/ (2! )
! 0.02x + 500 ! 500 = 340 ! 500
! 0.02x / !0.02 = !160 / !0.02
Free Pre-Algebra
Practice Quiz Through Lesson 36 ! page 3a
19. Write the underlined numbers in standard form and in
scientific notation.
20. Translate the numbers from scientific notation to
standard form.
According to US Bureau of Transit Statistics there were
250.84 million registered passenger vehicles in the U.S. in
2006. In the same year there were 168.03 million vehicles
registered in China.
The U.S. population 2006 was 3.000 x 108 people.
250.85 million = 250,840,000 = 2.5084 x 108
300,000,000
The population of China in 2006 was 1.341 x 109 people.
1,341,000,000
168.03 million = 168,030,000 = 1.6803 x 108
21. a. Compare the number of registered automobiles in the
U.S. to the number of registered vehicles in China.
22. a. Compare the U.S. population in 2006 to the population
of China in 2006.
There were more vehicles registered in the
U.S. in 2006 than in China.
The population of China was greater than
that of the U.S.
b. Compute the difference in the number of registered
vehicles, and compare.
| 250,840,000 – 16,8030,000 | = 82,810,000
c. Compare the numbers using the difference.
There were 82,810,000 more vehicles
registered in the U.S. than in China.
23. Compute the rate of people per vehicle for each country
in 2006. Round to the nearest hundredth.
a. U.S.
300,000,000 / 250,840,000
= 1.20 people per vehicle
b. China
1,341,000,000 / 16,8030,000
= 7.98 people per vehicle
© 2010 Cheryl Wilcox
b. What is the ratio of the population of China to the
population of the U.S.?
1,341,000,000 / 300,000,000 = 4.47
c. Compare the populations using the ratio.
The population of China is nearly five times
that of the U.S.