Positive Rational Number and Integer Test

Positive Rational Number and Integer Test
Name:___________________________________________Date:________________Period:__________
For numbers 1-3 record your answer and fill in the bubbles on the answer document. Be
sure to use the correct place value.
1. Cheryl went to the mall with $25 in her pocket. She bought two shirts for $7.99 each
and a pair of crazy socks for $2.49. How much change will she receive after her
purchase? (3E)
2. Samantha feeds her dog 3.5 cups of dog food each day. If she has 21 cups of dog
food, how many days will she be able to feed her dog? (3E)
3. On a day in December at 6:00 am, the temperature outside was −7° F. By lunch, the
temperature had raised 13° F. When school ended, the temperature increased 6° F. By
9:00 pm the temperature had dropped another 15° F. What was the final temperature
at 9:00 pm? (3D)
4. The Sentinel Bears football team had the following yardage in their first 8 offensive
plays of the football game.
Play #
1
2
3
4
5
6
7
8
Yardage
Gain of 5 yards
Loss of 3 yards
Gain of 4 yards
Gain of 10 yards
Loss of 8 yards
Loss of 5 yards
No gain or loss
Gain of 20 yards
Which expression models the total offensive yardage for the first 8 plays for the Bears?
(3D)
A. 5 + ( -3) + 4 + 10 + ( -8) + ( -5) + 0 – 20
B. 5 + ( -3) + 4 + 10 + ( -8) + ( -5) + 0 + 20
C. 5 + 3 + 4 + 10 + 8 + 5 + 0 + 20
D. 5 - 3 - 4 - 10 - 8 - 5 - 0 – 20
5. Which of the following expressions is equivalent to the expression below? (3A)
2 3
×
9 4
2
3
3
2
A. 9 ÷ 4
B. 4 ÷ 9
2
C.
4
9
4
D. 2 ÷ 3
÷3
9
6. Which set of rational numbers is ordered from least to greatest? (2C)
A. -19, 10, -3 , 17, -6
B. -6, -17, -19, 8, 10
C. -19, -17, 5, 8, 10
D. 17, 8, 1, -8, -19
1
1
7. Abby ran 2 3 miles. Miguel ran 1 2 times as far as Abby did. How many miles did Miguel
run?(3E)
1
A. 1 2 miles
1
C. 3 2 miles
1
B. 3 3 miles
1
D. 7 3 miles
8. Which integer has the smallest value? (2C)
A. 0
C. -10
B. -70
D. -3
9. Which of the following statements is true? (3D)
A. When dividing integers, the sign of the quotient is the same as the sign of the
divisor.
B. When dividing integers, the sign of the quotient is the same as the sign of the
dividend.
C. When dividing integers, the sign of the quotient is positive if the dividend and
divisor have like signs.
D. When dividing integers, the sign of the quotient is determined by the sign of the
dividend or divisor whichever is farther from zero on a number line.
10. Which integer has the largest value? (2C)
A. -80
B. –2
C. -12
D. 0
11. Which of the following statements is true? (3D)
A. When multiplying integers, the sign of the product is the same as the sign of
the larger factor.
B. When multiplying integers, the sign of the product is the same as the sign of
the smaller factor.
C. When multiplying integers, the sign of the product is positive if the two
factors have like signs.
D. When multiplying integers, the sign of the product is determined by the sign
of the factor that is farther from zero on the number line.
12.
Jack’s phone company charges $20 per month and $0.05 for each additional
minute or part of a minute for a phone call. Which expression can be used to find
the total cost for the month if Jack is on the phone for a total of 50 minutes and
23 seconds? (3E)
A. 20 + 50(0.05)
B. 20 × 50 × (0.05)
C. 0.05 + 50(20)
D. 20 + 51(0.05)
13. Barker and his friends have a $44.48 bill for lunch. They plan to tip their
waiter $6.00. They want to share the bill and tip equally. What other
information is needed to determine the amount each person should pay? (3E)
A.
B.
C.
D.
What each person ordered for lunch
The number of people sharing the bill
The percent of the tip
The total of the bill
14.
1
Mrs. Rodriguez is going to use 6 yards of material to make two dresses. The
2
6
larger dress requires 3 3 yards of material. How much material will Mrs.
Rodriguez have left to use on the smaller dress?
1
2
B. 3 2 yards
2
D. 2 2 yards
A. 1 3 yards
1
C. 2 3 yards
15.
Lois is reading the math problem below.
0.32 9.6
What is the correct way to read the problem?
A. Nine and six tenths divided by thirty-two thousandths
B. Nine and six hundredths divided by thirty-two hundredths
C. Nine and six tenths divided by thirty-two hundredths
D. Thirty-two hundredths divided by nine and six tenths
16. The sketch below shows a helicopter and a submarine. The helicopter is 298 feet
above the surface while the submarine is 323 feet below the water surface.
Which expression models the number of feet the helicopter is above the submarine?
A. 298 + (-323)
B. 298 -323
C. 298 -( -323)
D. 298 ×( -323)
17.
3
Working together, 9 friends pick 12 bags of apples at an orchard. They
5
split the bags of apples equally between them. How many bags does each
friend get?
2
2
A. 21 5 bags
B. 14 5 bags
2
C. 1 5 bags
D.
5
7
bags
18. Jane had a package that weighs 6.75 pounds. The post office charges $1.50 per
pound. How much would it cost for Jane to mail the package?
A. $4.50
B. $10.12
C. $10.13
D. $4.05
19. Johnston Middle School ordered 7 pizzas for a school party. The drama club ate 2
1
pizzas, and the choir ate 2 6 pizzas. How much pizza has not been eaten?
A. 3 6
5
B. 2 6
1
D. 4 6
C. 4 2
5
1
20. Jose is saving money to buy an iPhone that costs $675.25. He has already saved
$260.75. He plans on saving $40 per week. How many weeks will it take him to
save up to buy the iPhone?
A. 16 Weeks
B. 10 Weeks
C. 11 Weeks
D. 17 Weeks