Download ExamView - math 2 chapter 2 test.tst

Name: ________________________ Class: ___________________ Date: __________
ID: A
Math II Chapter 2 test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. The four best scores from an amateur golf tournament sponsored by a local golf club are given in the table.
Since the lowest score wins, which golfer won the tournament?
Player
Score
Mr. Benitez
2
Mr. Hill
–3
Mr. Williams
–8
Mr. Hayashi
8
a.
b.
____
____
____
____
Mr. Hayashi
Mr. Benitez
c.
d.
Mr. Hill
Mr. Williams
2. Find the sum –37 + (–25).
a. –12
b. 12
c.
d.
62
–62
3. Evaluate p − q for p = –13 and q = –50.
a. 37
b. –63
c.
d.
63
–37
4. Find the product 6 • (–9).
a. 3
b. –54
c.
d.
54
–3
5. Find the quotient 130 ÷ 2.
a. 128
b. –65
c.
d.
132
65
____
6. A submarine started at the surface of the water and was moving down at –15 kilometers per minute toward
the ocean floor. The submarine traveled at this rate for 48 minutes before coming to rest on the ocean floor.
What is the depth of the ocean floor?
a. –720 kilometers
c. –708 kilometers
d. 33 kilometers
b. –732 kilometers
____
7. Tell whether the number 75 is prime or composite.
a. prime
b. composite
____
8. It takes 120 drops of water to fill a teaspoon. Write the prime factorization of 120 using exponents.
a. 2 2 • 3 • 5
c. 2 3 • 3 • 5
b. 2 • 3 • 5
d. 2 3 • 15
1
Name: ________________________
____
ID: A
9. Ramon would like to plant a garden where each row has the same combination of plants. If Ramon has 27
tomato plants, 15 cucumber plants, and 6 basil plants, what is the greatest number of rows the garden can
have if Ramon uses all of the plants?
a. 2 rows
c. 9 rows
b. 3 rows
d. 5 rows
____ 10. Find the least common multiple (LCM) of 7, 10, and 20.
a. 200
c. 20
b. 140
d. 70
____ 11. Lauren visits the park every 3 days and goes to the library every 10 days. If Lauren does both of these today,
how many days will pass before Lauren gets to do them both on the same day again?
a. 13 days
c. 30 days
b. 60 days
d. 7 days
____ 12. Write the fraction
21
24
in simplest form.
a.
24
21
c.
−7
8
b.
7
24
d.
7
8
____ 13. Tell whether the fractions
a.
8
4
76
and 38 are equivalent.
equivalent
b.
not equivalent
5
9
c.
69
2
d.
73
60
9
____ 14. Write
a.
7
b.
63
as a mixed number.
7
2
3
____ 15. Write 2 4 as an improper fraction.
a.
7
4
c.
11
4
b.
23
8
d.
2
1
____ 16. Victoria and Anne are sisters who both take piano lessons. Each day, Victoria practices piano for
2
3
and Anne practices piano for 1 hours. Do the sisters practice piano for the same amount of time?
a.
No
____ 17. Write the fraction
a.
b.
0.55
1.83
b.
22
12
Yes
as a decimal. If necessary, round your answer to the nearest hundredth.
c.
d.
2
22.12
2.03
5
3
hours,
Name: ________________________
ID: A
____ 18. Write the decimal 0.51 as a fraction in simplest form.
1
51
a. 2
c. 1 100
b.
1
51
d.
51
100
____ 19. Write the decimal 1.71 as a mixed number in simplest form.
71
71
c. 1 100
a. 100
b.
7
1 10
d.
1
71
____ 20. During a review game, Mr. Pai’s class correctly answered 69 questions on the first try. If there were 72
questions in the game, at what rate were questions answered correctly on the first try? Express your answer
as a decimal. Round to the nearest hundredth.
a. 0.958
c. 0.042
b. 1.043
d. 0.096
____ 21. Compare the fractions
a.
3
10
2
? 6 . Write < or >.
<
b.
>
____ 22. Compare the decimals 0.22 __?_ 0.79. Write < or >.
a. <
b. >
____ 23. Order –0.985, –0.95,
3
4
from least to greatest.
a.
–0.95, –0.985,
3
4
c.
3
4
b.
–0.985, 4 , –0.95
d.
–0.985, –0.95,
3
, –0.95, –0.985
3
4
Numeric Response - PICK ONE!
24. Two classes compete in a science fair. Each class splits into smaller groups, but every group, both classes
included, must be the same size. The first class has 176 students, and the second class has 128 students. What
is the greatest number of students each group can have?
1
1
25. A restaurant uses 47 3 cups of rice to make its daily pot of rice. Write a fraction that shows how many 6 -cups
are used to cook rice each day at the restaurant.
3
Name: ________________________
ID: A
Matching
Match each vocabulary term with its definition.
a. opposite
e.
b. integers
f.
c. absolute value
g.
d. multiple
mixed number
prime number
composite number
____ 26. the distance of a number from zero on a number line, shown by | |
____ 27. the set of whole numbers and their opposites
____ 28. a number that is the same distance from 0 on a number line as a given number
____ 29. the product of any number and a whole number
____ 30. a number made up of a whole number that is not zero and a fraction
Match each vocabulary term with its definition.
a. equivalent fractions
e.
b. improper fraction
f.
c. nonterminating decimal
g.
d. rational number
terminating decimal
mixed number
repeating decimal
____ 31. fractions that name the same value
____ 32. a decimal number that comes to an end
____ 33. a decimal in which one or more digits repeat infinitely
____ 34. a fraction in which the numerator is greater than or equal to the denominator
____ 35. any number that can be expressed as a ratio of two integers
4
Name: ________________________
ID: A
Match each vocabulary term with its definition.
a. least common multiple (LCM)
e.
b. prime number
f.
c. greatest common factor (GCF)
g.
d. mixed number
composite number
multiple
prime factorization
____ 36. a number written as the product of its prime factors
____ 37. the smallest number, other than zero, that is a multiple of two or more given numbers
____ 38. a number greater than 1 that has more than two whole-number factors
____ 39. the largest common factor of two or more given numbers
____ 40. a whole number greater than 1 that has exactly two factors, itself and 1
Short Answer
41. The highest temperature recorded in the town of Westgate this summer was 100°F. Last winter, the lowest
temperature recorded was –1°F. Find the difference between these extremes.
42. Miguel spends $35 a day for 4 days. He earns $21 a day for 5 days. Does Miguel end up with more or less
money than he started with? By how much?
43. This morning at 8:00, the temperature was –7°F. Yesterday morning, the temperature was 6°F colder. What
was yesterday’s temperature?
44. One way to factor the number 270 is 1 • 270. This number can be factored several other ways.
Factor 270 the following ways:
a.
Use a factor tree to show the prime factorization of 270.
b.
Show a factorization of 270 that is not prime.
2
1
45. Consider the numbers 5 5 , 5.2, 5.02, 5 4 , and 5.333.
a.
b.
Order the numbers from least to greatest.
Write each of the fractions as a decimal, and each of the decimals as a fraction in
simplest form.
5
ID: A
Math II Chapter 2 test
Answer Section
MULTIPLE CHOICE
1. ANS: D
Graph each player’s score on a number line.
Mr. Williams’ score is farthest to the left, so it is the lowest score. Therefore, Mr. Williams is the winner of
the tournament.
DIF: Advanced
TOP: 2-1 Integers KEY: integer | compare | order
2. ANS: D
To add two integers with the same sign, find the sum of their absolute values and use the sign of the two
integers. To add two integers with different signs, find the difference of their absolute values and use the sign
of the integer with the greater absolute value.
DIF: Average
REF: Page 83
TOP: 2-2 Adding Integers
KEY: addition | integers
3. ANS: A
Substitute –13 for p and –50 for q. Then, find the difference.
To subtract an integer, add its opposite.
DIF: Average
REF: Page 89
TOP: 2-3 Subtracting Integers
KEY: evaluate | expression | integers | subtraction
4. ANS: B
In multiplying integers, if the signs are the same, the product will be positive. If the signs are different, the
product will be negative.
DIF: Average
REF: Page 95
TOP: 2-4 Multiplying and Dividing Integers
KEY: integers | multiplication
5. ANS: D
In dividing integers, if the signs are the same, the quotient will be positive. If the signs are different, the
quotient will be negative.
DIF: Average
REF: Page 95
TOP: 2-4 Multiplying and Dividing Integers
KEY: integers | division
6. ANS: A
Multiply the rate per minute by the number of minutes.
−15 • 48 = −720
DIF:
Average
REF: Page 95
TOP: 2-4 Multiplying and Dividing Integers
1
ID: A
7. ANS: B
A number is prime if it is divisible by only 1 and itself; otherwise, it is composite.
DIF: Basic
REF: Page 106
KEY: divisibility | prime | composite
8. ANS: C
120 = 2 3 • 3 • 5
TOP: 2-6 Prime Factorization
DIF: Advanced
TOP: 2-6 Prime Factorization
9. ANS: B
Find the GCF of the three numbers by either listing the factors, using prime factorization, or using a ladder
diagram.
DIF: Average
REF: Page 111
TOP: 2-7 Greatest Common Factor
KEY: GCF | greatest common factor | problem solving
10. ANS: B
List multiples of 7, 10, and 20. Find the smallest number that is in all the lists.
DIF: Basic
REF: Page 114
TOP: 2-8 Least Common Multiple
KEY: LCM | least common multiple
11. ANS: C
Find the LCM of both numbers by either listing the multiples or using prime factorization.
DIF: Average
REF: Page 115
TOP: 2-8 Least Common Multiple
KEY: LCM | least common multiple
12. ANS: D
Find the GCF of 21 and 24. Divide the numerator and denominator by the GCF, 3.
21
21 ÷ 3
7
= 24 ÷ 3 = 8
24
DIF: Average
REF: Page 120
TOP: 2-9 Equivalent Fractions and Mixed Numbers
KEY: equivalent | fraction
13. ANS: A
Find a common denominator and compare the numerators. If both fractions can be written with a common
denominator and the numerators are equal, then the fractions are equivalent.
DIF: Average
REF: Page 121
TOP: 2-9 Equivalent Fractions and Mixed Numbers
KEY: equivalent | fraction
14. ANS: B
Divide the numerator by the denominator. Use the quotient and the remainder to write the mixed number.
DIF: Average
REF: Page 121
TOP: 2-9 Equivalent Fractions and Mixed Numbers
KEY: convert | improper fraction | mixed number
2
ID: A
15. ANS: C
Multiply the denominator and the whole number, and then add the numerator. Write the result over the
denominator.
DIF: Average
REF: Page 121
TOP: 2-9 Equivalent Fractions and Mixed Numbers
KEY: convert | improper fraction | mixed number
16. ANS: B
Write the improper fraction as a mixed number.
5
2
= 13
3
Compare the mixed numbers.
2
2
13 = 13
Yes, the sisters practice piano for the same amount of time
DIF: Advanced
TOP: 2-9 Equivalent Fractions and Mixed Numbers
17. ANS: B
To write a fraction as a decimal, divide the numerator by the denominator.
DIF: Average
REF: Page 124
TOP: 2-10 Equivalent Fractions and Decimals
KEY: convert | decimal | fraction | rational number
18. ANS: D
Use the place value of the last digit to the right of the decimal point as the denominator of the fraction.
DIF: Basic
REF: Page 125
TOP: 2-10 Equivalent Fractions and Decimals
KEY: decimal | fraction | mixed number
19. ANS: C
Use the place value of the last digit to the right of the decimal point as the denominator of the fraction.
DIF: Average
REF: Page 125
TOP: 2-10 Equivalent Fractions and Decimals
KEY: decimal | fraction | mixed number
20. ANS: A
Divide the number of questions in the game by the number correctly answered on the first try.
DIF: Average
REF: Page 125
TOP: 2-10 Equivalent Fractions and Decimals
KEY: convert | decimal | fraction | rational number
21. ANS: A
If the fractions have different signs, the negative fraction is less than the positive fraction.
When both fractions have the same sign, write them with a common denominator. Then, compare the
numerators to determine which fraction is greater.
DIF: Basic
REF: Page 128
KEY: compare | fraction
TOP: 2-11 Comparing and Ordering Rational Numbers
3
ID: A
22. ANS: A
Line up the decimal points.
Compare the tenths place. If the tenths are the same, then compare the hundredths place.
0.22 < 0.79.
DIF: Average
REF: Page 129
TOP: 2-11 Comparing and Ordering Rational Numbers
23. ANS: D
Write all of the numbers as decimals with the same number of places. Then, compare the decimals.
DIF: Average
REF: Page 129
TOP: 2-11 Comparing and Ordering Rational Numbers
KEY: compare | decimal | fraction | order
NUMERIC RESPONSE
24. ANS: 16
DIF:
25. ANS:
DIF:
Advanced
TOP: 2-7 Greatest Common Factor
284
6
Advanced
TOP: 2-9 Equivalent Fractions and Mixed Numbers
MATCHING
26. ANS: C
DIF: Basic
REF: Page 77
27. ANS: B
DIF: Basic
REF: Page 76
28. ANS: A
DIF: Basic
REF: Page 76
KEY: integers | opposite | number line
29. ANS: D
DIF: Basic
REF: Page 114
30. ANS: E
DIF: Basic
REF: Page 121
TOP: 2-9 Equivalent Fractions and Mixed Numbers
KEY: convert | improper fraction | mixed number
31. ANS:
TOP:
32. ANS:
TOP:
KEY:
33. ANS:
TOP:
34. ANS:
TOP:
KEY:
35. ANS:
TOP:
KEY:
A
DIF: Basic
REF: Page 120
2-9 Equivalent Fractions and Mixed Numbers
E
DIF: Basic
REF: Page 124
2-10 Equivalent Fractions and Decimals
convert | decimal | fraction | rational number
G
DIF: Basic
REF: Page 124
2-10 Equivalent Fractions and Decimals
B
DIF: Basic
REF: Page 121
2-9 Equivalent Fractions and Mixed Numbers
convert | improper fraction | mixed number
D
DIF: Basic
REF: Page 129
2-11 Comparing and Ordering Rational Numbers
convert | decimal | fraction | rational number
4
TOP: 2-1 Integers
TOP: 2-1 Integers
TOP: 2-1 Integers
TOP: 2-8 Least Common Multiple
KEY: equivalent | fraction
ID: A
36.
37.
38.
39.
40.
ANS:
ANS:
ANS:
ANS:
ANS:
G
A
E
C
B
DIF:
DIF:
DIF:
DIF:
DIF:
Basic
Basic
Basic
Basic
Basic
REF:
REF:
REF:
REF:
REF:
Page 106
Page 114
Page 106
Page 110
Page 106
TOP:
TOP:
TOP:
TOP:
TOP:
2-6 Prime Factorization
2-8 Least Common Multiple
2-6 Prime Factorization
2-7 Greatest Common Factor
2-6 Prime Factorization
SHORT ANSWER
41. ANS:
101°F
Subtract the lowest temperature from the highest temperature.
DIF: Average
REF: Page 89
TOP: 2-3 Subtracting Integers
KEY: integers | subtraction
42. ANS:
Miguel ends up with $35 less than he started with.
Miguel spends $35 a day. You can write this as −35. Multiply first, and then add.
−35 • 4 + 21 • 5 = −140 + 105 = −35
DIF: Advanced
43. ANS:
–13°F
TOP: 2-4 Multiplying and Dividing Integers
–7 – 6 = –13
Scoring Rubric:
4
The solution is correct, and all of the work is shown as above.
or
A different logical method is used to find the correct solution.
3
The solution is correct, but not all of the work is shown.
2
The solution is incorrect, but the work shows understanding of the concept.
1
The solution is incorrect, and the work shows no understanding of the concept.
DIF: Average
TOP: 2-3 Subtracting Integers
KEY: integers | subtraction | Performance Assessment
5
ID: A
44. ANS:
a.
270
ìî
10 • 27
ìî
ìî
2•5 •3• 9
ì ì ì ìî
2 • 5 • 3 • 3 • 3
The prime factorization of 270 is 2 • 3 • 3 • 3 • 5 or, 2 • 3 3 • 5
270
b.
ìî
10 • 27
ìî
ìî
2•5 • 3•9
Another factorization is 2 • 3 • 5 • 9.
(There are several other possibilities.)
Scoring Rubric:
4
The solution is correct, and all of the work is shown as above.
or
A different logical method is used to find the correct solution.
3
Both solutions are correct, but not all of the work is shown.
2
The solution for part a is correct, but the solution for part b is incorrect.
or
The solution for part a is incorrect, but the work for part b is correct.
1
Both solutions are incorrect, and the work shows no understanding of the concept.
DIF: Average
TOP: 2-6 Prime Factorization
KEY: factor tree | factorization | Performance Assessment | prime factorization
6
ID: A
45. ANS:
a. 5.02, 5.2, 5 1 , 5.333, and 5 2
4
b.
5
2
5 5 = 5.4
1
5.2 = 5 5
1
5.02 = 5 50
1
5 4 = 5.25
1
5.333 = 5 3
Scoring Rubric:
4
The solution is correct, and all of the work is shown as above.
or
A different logical method is used to find the correct solution.
3
Both solutions are correct, but not all of the work is shown.
2
The solution for part a is correct, but the solution for part b is incorrect.
or
The solution for part a is incorrect, but the work for part b is correct.
1
Both solutions are incorrect, and the work shows no understanding of the concept.
DIF: Average
TOP: 2-11 Comparing and Ordering Rational Numbers
KEY: compare | convert | decimal | fraction | order | Performance Assessment
7