Download Singapore Chapter 2 Test Review Enriched Math 7

Singapore Chapter 2 Test Review (Enriched Math 7)
Numeric Response
1. Find the sum
.
2. The ocean floor is at –94 m. Antonio has reached –12 m. If he continues to move down at –4 m per minute, at
what meter will he be from the ocean floor after 3 minutes?
3. John’s birthday party budget is $130.00. He spent $45.70 for sandwiches, $27.25 for juice, and $14.25 for
prizes. How much money is left for other expenses?
4. A costume designer is preparing costumes for 22 dancers. She pays $373.78 for all of the materials. She also
buys gloves, that are on sale, for all the dancers. Each pair of gloves costs $4.30. How much is the costume
designer’s expense for each dancer?
Short Answer
5. Find the sum
.
6. Find the sum -7 + 8 + -6.
7. Find the difference –31
13.
8. Find the difference (-5)
(-36).
9. Find the distance between 9 and –6.
10. Find the product –5 • (–4).
11. 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 52 minutes before coming to rest on the ocean floor. What
is the depth of the ocean floor?
12. Find the quotient –62
13. Find the quotient -128
(–2).
(–4).
14. 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?
15. Simplify the expression -45 + (-16)  2  (- 4) – 6. Show your work.
16. Add. Express your answer in simplest form.
17. There are two bookcases against a wall. If one takes up
much of the wall is covered by bookcases?
18. Subtract. Express your answer in simplest form.
19. Subtract. Express your answer in simplest form.
2
5
of the wall and the other takes up
1
7
of the wall, how
20. Two carpenters are building a fence. After 5 minutes, one carpenter is finished
finished
of the way and the other is
of the way. How much of the way ahead of the second carpenter is the first carpenter?
21. Multiply. Express your answer in simplest form.
7
1
9 • 2
22. Divide. Express your answer in simplest form.
3
13
÷ - 14
10
3
7
23. How many 8 -foot pieces of wood can you cut from a board that is 1 8 feet long?
24. Four bags of potatoes weigh 3.35 pounds, 4.894 pounds, 5.6 pounds, and 4.95 pounds. What is the total
weight of the bags?
25. Find 80% of 45.
26. Multiply.
–7 • (–4.19)
27. The average yearly rainfall in Lakeview is 21.55 inches. What is the total amount of rainfall in inches in
Lakeview in 5.75 years?
28. Divide.
–95.9  (–27.4)
29. Joe works in a music store and earns 18.5% commission on each sale. If Joe sells an organ and earns $82.00,
what is the price of the organ? Round your answer to the nearest cent.
30. This morning at 8:00, the temperature was –7°F. Yesterday morning, the temperature was 6°F colder. What
was yesterday’s temperature?
31. If
of a pizza is eaten for lunch and
32. A
-ounce ice cream sundae is
is eaten for dinner, how much of the pizza is eaten?
ice cream. How many ounces of ice cream does the sundae contain?
Singapore Chapter 2 Test Review (Enriched Math 7)
Answer Section
NUMERIC RESPONSE
1. ANS: 3
PTS: 1
DIF: Average
TOP: 2-1 Adding Integers
2. ANS: 70
PTS:
OBJ:
NAT:
KEY:
3. ANS:
OBJ: 2-1.3 Add Integers with Different Signs
KEY: addition | integer
1
DIF: Difficult
2-4.1 Use Addition, Subtraction, Multiplication, and Division with Integers
7.NS.3
TOP: 2-4 Operations with Integers
multi-step | order of operations | integer
$42.80
PTS: 1
NAT: 7.NS.1.d
4. ANS: $21.29
PTS: 1
NAT: 7.NS.2.c
DIF: Average
OBJ: 2-6.1 Add and Subtract Decimals
TOP: 2-6 Operations with Decimals
KEY: multi-step | decimal | subtraction
DIF: Difficult
OBJ: 2-6.3 Divide Numbers in Decimals or Percent Form
TOP: 2-6 Operations with Decimals
KEY: multi-step | decimal | division
SHORT ANSWER
5. ANS:
0
The sum of an integer and its opposite is equal to 0.
PTS: 1
DIF: Average
OBJ: 2-1.2 Add Integers to Their Opposites
NAT: 7.NS.1.a
TOP: 2-1 Adding Integers
KEY: addition | integer | opposites | additive inverse
6. ANS:
-5
The sum of an integer and its opposite is equal to 0.
PTS: 1
DIF: Average
OBJ: 2-1.2 Add Integers to Their Opposites
NAT: 7.NS.1.a
TOP: 2-1 Adding Integers
KEY: addition | integer | opposites | additive inverse
7. ANS:
–44
To subtract an integer, add its opposite.
PTS: 1
DIF: Average
TOP: 2-2 Subtracting Integers
8. ANS:
OBJ: 2-2.1 Subtract Integers by Adding Their Opposites
KEY: integer | subtraction
31
To subtract an integer, add its opposite.
PTS: 1
DIF: Average
OBJ: 2-2.1 Subtract Integers by Adding Their Opposites
TOP: 2-2 Subtracting Integers
KEY: integer | subtraction
9. ANS:
15
Find the absolute value of the difference of 9 and –6.
| 9 – (–6) | = 15
PTS: 1
DIF: Average
OBJ: 2-2.2 Find the Distance Between Two Integers on a Number Line
NAT: 7.NS.1.c
TOP: 2-2 Subtracting Integers
KEY: distance | integer | absolute value
10. ANS:
20
In multiplying integers, if the signs are the same, the product will be positive. If the signs are different, the
product will be negative.
PTS: 1
DIF: Average
OBJ: 2-3.1 Multiply Integers
TOP: 2-3 Multiplying and Dividing Integers
KEY: integer | multiplication
11. ANS:
–780 kilometers
Multiply the rate per minute by the number of minutes.
PTS: 1
DIF: Average
OBJ: 2-3.1 Multiply Integers
TOP: 2-3 Multiplying and Dividing Integers
KEY: integer | multiplication
12. ANS:
31
In dividing integers, if the signs are the same, the quotient will be positive. If the signs are different, the
quotient will be negative.
PTS: 1
DIF: Average
OBJ: 2-3.2 Divide Integers
TOP: 2-3 Multiplying and Dividing Integers
KEY: integer | division
13. ANS:
32
In dividing integers, if the signs are the same, the quotient will be positive. If the signs are different, the
quotient will be negative.
PTS: 1
DIF: Average
OBJ: 2-3.2 Divide Integers
TOP: 2-3 Multiplying and Dividing Integers
KEY: integer | division
14. ANS:
Miguel ends up with $35 less than he started with.
Miguel spends $35 a day. You can write this as
. Multiply first, and then add.
PTS: 1
DIF: Difficult
OBJ: 2-4.1 Use Addition, Subtraction, Multiplication, and Division with Integers
NAT: 7.NS.3
TOP: 2-4 Operations with Integers
KEY: order of operations | integer
15. ANS:
-43
Use the order of operations.
1. Perform operations within grouping symbols.
2. Evaluate powers.
3. Multiply and divide in order from left to right.
4. Add and subtract in order from left to right.
PTS: 1
DIF: Average
OBJ: 2-4.1 Use Addition, Subtraction, Multiplication, and Division with Integers
TOP: 2-4 Operations with Integers
KEY: order of operations | integer
16. ANS:
14/15
Multiply the denominators. Write equivalent fractions using a
common denominator.
Add. If necessary, simplify.
=
=
23
56
PTS: 1
DIF: Average
OBJ: 2-5.1 Add Rational Numbers
NAT: 7.NS.1.d
TOP: 2-5 Operations with Rational Numbers
KEY: addition | fraction | rational number
17. ANS:
19
of the wall
35
First find a common denominator, and then add. If necessary, simplify.
The wall is
19
35
covered by bookcases.
PTS: 1
DIF: Average
OBJ: 2-5.1 Add Rational Numbers
NAT: 7.NS.1.d
TOP: 2-5 Operations with Rational Numbers
KEY: addition | fraction | rational number
18. ANS:
1
3
Subtract the numerators and keep the common denominator.
PTS: 1
DIF: Average
OBJ: 2-5.2 Subtract Rational Numbers
NAT: 7.NS.1.d
TOP: 2-5 Operations with Rational Numbers
KEY: subtraction | fraction | rational number
19. ANS:
8
63
=
=
8
63
Multiply the denominators. Write equivalent fractions using a
common denominator.
Subtract. If necessary, simplify.
PTS: 1
DIF: Average
OBJ: 2-5.2 Subtract Rational Numbers
NAT: 7.NS.1.d
TOP: 2-5 Operations with Rational Numbers
KEY: subtraction | fraction | rational number
20. ANS:
1
of the way
10
Multiply the denominators. Write equivalent fractions using a
common denominator.
Subtract. If necessary, simplify.
=
=
1
10
The first carpenter is
1
10
of the way ahead of the second carpenter.
PTS: 1
DIF: Average
OBJ: 2-5.2 Subtract Rational Numbers
NAT: 7.NS.1.d
TOP: 2-5 Operations with Rational Numbers
KEY: subtraction | fraction | rational number
21. ANS:
7
 18
Multiply the numerators and multiply the denominators. If necessary, simplify.
7
1
7
 9 • 2 =  18
PTS: 1
DIF: Average
OBJ: 2-5.3 Multiply Rational Numbers
NAT: 7.NS.2.a | 7.NS.2.c
TOP: 2-5 Operations with Rational Numbers
KEY: fraction | multiplication | rational number
22. ANS:
-21/65
Multiply
3
10
÷
13
14
=
3
10
3
10
by the reciprocal of
•
14
13
=
13
14
. If necessary, simplify.
21
65
PTS: 1
DIF: Average
OBJ: 2-5.4 Divide Rational Numbers
NAT: 7.NS.2.c
TOP: 2-5 Operations with Rational Numbers
KEY: division | fraction | rational number
23. ANS:
5 pieces of wood
Write any mixed numbers as improper fractions. Then, multiply by the reciprocal. If necessary, simplify.
7
3
18 8 =
= 55
You can cut 5 pieces of wood.
PTS: 1
DIF: Average
OBJ: 2-5.4 Divide Rational Numbers
NAT: 7.NS.2.c
TOP: 2-5 Operations with Rational Numbers
KEY: division | fraction | rational number | mixed number
24. ANS:
18.794 pounds
Align the decimal points. Use zeros as placeholders. Add the numbers. Then place the decimal point.
PTS: 1
NAT: 7.NS.1.d
25. ANS:
36
80% = 0.80
0.80 • 45 = 36
DIF: Average
OBJ: 2-6.1 Add and Subtract Decimals
TOP: 2-6 Operations with Decimals
KEY: decimal | addition
Write the percent as a decimal.
Multiply using the decimal.
PTS: 1
DIF: Average
OBJ: 2-6.2 Multiply Numbers in Decimal or Percent Form
NAT: 7.NS.2.c
TOP: 2-6 Operations with Decimals
KEY: percent | multiplication
26. ANS:
29.33
Multiply the numbers. The product should have the same number of decimal places as the sum of the decimal
places in the factors.
PTS: 1
DIF: Average
OBJ: 2-6.2 Multiply Numbers in Decimal or Percent Form
NAT: 7.NS.2.c
TOP: 2-6 Operations with Decimals
KEY: decimal | multiplication
27. ANS:
123.9125 inches
Multiply the average yearly rainfall by the number of years. The product should have the same number of
decimal places as the sum of the decimal places in the factors.
The total amount of rainfall in Lakeview in 5.75 years is 123.9125 inches.
PTS: 1
DIF: Average
OBJ: 2-6.2 Multiply Numbers in Decimal or Percent Form
NAT: 7.NS.2.c
TOP: 2-6 Operations with Decimals
KEY: decimal | multiplication
28. ANS:
3.5
Multiply both numbers by the least power of 10 that will make the divisor an integer. Divide as with whole
numbers. Place the decimal point in the quotient directly above the decimal point in the dividend.
PTS: 1
DIF: Average
OBJ: 2-6.3 Divide Numbers in Decimals or Percent Form
NAT: 7.NS.2.c
TOP: 2-6 Operations with Decimals
KEY: decimal | division
29. ANS:
$443.24
Set up an equation and solve.
sale • percent = commission
PTS: 1
NAT: 7.NS.2.c
30. ANS:
–13°F
DIF: Average
OBJ: 2-6.3 Divide Numbers in Decimals or Percent Form
TOP: 2-6 Operations with Decimals
KEY: division | percent
–7 – 6 = –13
PTS: 1
DIF: Average
TOP: 2-2 Subtracting Integers
31. ANS:
OBJ: 2-2.1 Subtract Integers by Adding Their Opposites
KEY: integer | subtraction
PTS: 1
DIF: Average
OBJ: 2-5.1 Add Rational Numbers
NAT: 7.NS.1.d
TOP: 2-5 Operations with Rational Numbers
KEY: addition | fraction | rational number
32. ANS:
PTS: 1
DIF: Average
OBJ: 2-5.3 Multiply Rational Numbers
NAT: 7.NS.2.a | 7.NS.2.c
TOP: 2-5 Operations with Rational Numbers
KEY: fraction | multiplication | rational number | mixed number