Name: ______________________
Class: _________________
Date: _________
Math 9 Section 3.1 to 3.3 Practice Quiz: Adding and Subtracting Rational Numbers
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
____
____
____
____
1. Which numbers are rational numbers?
3
5
, 3.5, 0.63,
5
3
3
5
a.
and
5
3
3
5
b.
, 3.5, and
5
3
c.
3
and 3.5
5
d.
All of them
2. Identify the number that is NOT equal to the other three numbers.
−3 3 −3
3
,
,
,−
4 −4 −4
4
3
3
−3
a. −
b.
c.
4
−4
−4
d.
−3
4
3. Which rational number is represented by the letter A on the number line?
a.
–4
c.
b.
–0.7
d.
–0.4
2
−
3
c.
−
4. Identify the greatest rational number.
3 7
3 1
− ,
,− ,
5 10
4 2
3
1
a. −
b.
4
2
3
5
5. Order the numbers from least to greatest.
−0.7, −0. 7, −0.77
a.
−0.77, −0. 7, −0.7
c.
−0. 7, −0.77, −0.7
b.
−0.7, −0. 7, −0.77
d.
−0.7, −77, −0. 7
1
d.
7
10
ID: A
Name: ______________________
____
6. Write the addition statement that this number line represents.
a.
b.
____
____
____
ID: A
−2.3 + 1.1 = −1.2
−1.2 + 2.3 = −1.1
c.
d.
−1.2 + (−1.1) = −2.3
−2.3 + (−1.1) = −1.2
7. Which expression has the least sum?
i) 9.21 + 6.05
ii) −9.21 + 6.05
iii) 9.21 + (−6.05)
iv) −9.21 + (−6.05)
a. iv
b. i
c.
iii
d.
ii
8. Determine this difference.
3.9 − (−5.6)
a. –21.8
b. 8.5
c.
–1.7
d.
9.5
c.
−
13
5
d.
13
5
c.
7
6
d.
−
c.
2
d.
−4
9. Determine this difference.
6 7
− −
5 5
1
1
a. −
b.
5
5
____ 10. Determine this difference.
3 ÊÁ 1 ˆ˜
− − ÁÁÁÁ − ˜˜˜˜
2 ÁË 3 ˜¯
a.
11
6
b.
−
7
6
____ 11. Determine this difference.
2
1
−3 – 1
5
3
1
11
a. −2
b. 4
15
15
1
15
11
6
11
15
Short Answer
12. Write the rational number represented by each letter on the number line, as a decimal.
2
Name: ______________________
ID: A
13. Write the rational number represented by each letter on the number line, as a fraction.
14. Insert <, >, or = to make each expression true.
18
11
a) −
−
5
3
3
7
b) 3
3
5
12
15. Write the addition statement that this number line represents.
16. Determine this sum.
1 ÊÁÁÁ 9 ˆ˜˜˜
+ Á− ˜
4 ÁÁË 8 ˜˜¯
17. Determine this sum.
1 ÊÁ 5 ˆ˜
5 + ÁÁÁÁ −2 ˜˜˜˜
4 ÁË 6 ˜¯
18. Determine this difference.
3
8
− −
5
5
19. Determine this difference.
−6.5 − ( −4.2 )
20. Determine this difference.
1
3
−9 − 1
2
5
21. Evaluate this expression.
1
8
3
–
+
4
3
5
3
Name: ______________________
ID: A
Problem
22. a) Show these rational numbers on the number line:
4
3
5
5
−1 , 0.3, 1 , − , −0.3, −2.3, 1.2,
5
4
6
6
b) Which number is least?
c) Which number is greatest?
23. Melissa earns $45.25 working in a coffee shop, and $15.25 for babysitting.
She spends $33.64 on art supplies and $16.48 on a computer game.
a) Write an addition statement to represent Melissa’s income and expenditure.
b) How much money does Melissa have left?
24. Evaluate this expression. Show your work.
3
2
1
−2 − (−7 ) − 2
4
3
6
25. Use the numbers in the box below.
a) Find the difference between the greatest number and the least number.
b) Why are there two possible answers for part a?
4
ID: A
Math 9 Section 3.1 to 3.3 Practice Quiz: Adding and Subtracting Rational Numbers
Answer Section
MULTIPLE CHOICE
1. ANS:
LOC:
2. ANS:
LOC:
3. ANS:
LOC:
4. ANS:
LOC:
5. ANS:
LOC:
6. ANS:
LOC:
7. ANS:
LOC:
8. ANS:
LOC:
9. ANS:
LOC:
10. ANS:
LOC:
11. ANS:
LOC:
D
9.N3
C
9.N3
D
9.N3
D
9.N3
C
9.N3
C
9.N3
A
9.N3
C
9.N3
C
9.N3
B
9.N3
D
9.N3
PTS:
TOP:
PTS:
TOP:
PTS:
TOP:
PTS:
TOP:
PTS:
TOP:
PTS:
TOP:
PTS:
TOP:
PTS:
TOP:
PTS:
TOP:
PTS:
TOP:
PTS:
TOP:
1
Number
1
Number
1
Number
1
Number
1
Number
1
Number
1
Number
1
Number
1
Number
1
Number
1
Number
DIF:
KEY:
DIF:
KEY:
DIF:
KEY:
DIF:
KEY:
DIF:
KEY:
DIF:
KEY:
DIF:
KEY:
DIF:
KEY:
DIF:
KEY:
DIF:
KEY:
DIF:
KEY:
Easy
REF: 3.1 What Is a Rational Number?
Conceptual Understanding
Easy
REF: 3.1 What Is a Rational Number?
Conceptual Understanding
Easy
REF: 3.1 What Is a Rational Number?
Conceptual Understanding
Moderate
REF: 3.1 What Is a Rational Number?
Conceptual Understanding | Procedural Knowledge
Moderate
REF: 3.1 What Is a Rational Number?
Conceptual Understanding | Procedural Knowledge
Easy
REF: 3.2 Adding Rational Numbers
Conceptual Understanding
Moderate
REF: 3.2 Adding Rational Numbers
Conceptual Understanding
Easy
REF: 3.3 Subtracting Rational Numbers
Procedural Knowledge
Easy
REF: 3.3 Subtracting Rational Numbers
Procedural Knowledge
Moderate
REF: 3.3 Subtracting Rational Numbers
Procedural Knowledge
Moderate
REF: 3.3 Subtracting Rational Numbers
Procedural Knowledge
SHORT ANSWER
12. ANS:
Q: −0.13, R: −0.17
PTS: 1
LOC: 9.N3
13. ANS:
5
1
B: − , C: −
8
8
PTS: 1
LOC: 9.N3
DIF: Easy
TOP: Number
REF: 3.1 What Is a Rational Number?
KEY: Conceptual Understanding
DIF: Easy
TOP: Number
REF: 3.1 What Is a Rational Number?
KEY: Conceptual Understanding
1
ID: A
14. ANS:
18
11
>−
5
3
3
7
b) 3 > 3
5
12
a) −
PTS: 1
LOC: 9.N3
15. ANS:
−1.3 + 1.2 = −0.1
DIF: Moderate
TOP: Number
REF: 3.1 What Is a Rational Number?
KEY: Conceptual Understanding | Procedural Knowledge
PTS: 1
LOC: 9.N3
16. ANS:
7
−
8
DIF: Easy
TOP: Number
REF: 3.2 Adding Rational Numbers
KEY: Conceptual Understanding
PTS: 1
LOC: 9.N3
17. ANS:
5
2
12
DIF: Moderate
TOP: Number
REF: 3.2 Adding Rational Numbers
KEY: Procedural Knowledge
PTS: 1
LOC: 9.N3
18. ANS:
11
−
5
DIF: Moderate
TOP: Number
REF: 3.2 Adding Rational Numbers
KEY: Procedural Knowledge
PTS: 1
LOC: 9.N3
19. ANS:
–2.3
DIF: Easy
TOP: Number
REF: 3.3 Subtracting Rational Numbers
KEY: Procedural Knowledge
PTS: 1
LOC: 9.N3
20. ANS:
1
−11
10
DIF: Easy
TOP: Number
REF: 3.3 Subtracting Rational Numbers
KEY: Procedural Knowledge
DIF: Moderate
TOP: Number
REF: 3.3 Subtracting Rational Numbers
KEY: Procedural Knowledge
PTS: 1
LOC: 9.N3
2
ID: A
21. ANS:
109
−
60
PTS: 1
LOC: 9.N3
DIF: Difficult
TOP: Number
REF: 3.3 Subtracting Rational Numbers
KEY: Procedural Knowledge
PROBLEM
22. ANS:
4
3
5
5
, 0.3, 1 , − , −0.3, −2.3, 1.2,
5
4
6
6
Write the fractions and mixed numbers as decimals.
4
−1 = –1.8
5
3
1 = 1.75
4
5
− = −0.83
6
5
= 0.83
6
Mark each number on a number line.
a) −1
b) The least number is: −2.3
c) The greatest number is: 1
3
4
PTS: 1
DIF: Moderate
REF: 3.1 What Is a Rational Number?
LOC: 9.N3
TOP: Number
KEY: Problem-Solving Skills
23. ANS:
a) 45.25 + 15.25 + (−33.64) + (−16.48) = 10.38
b) Melissa has $10.38 left.
PTS: 1
LOC: 9.N3
DIF: Moderate
TOP: Number
REF: 3.2 Adding Rational Numbers
KEY: Problem-Solving Skills
3
ID: A
24. ANS:
3
2
1
−2 − (−7 ) − 2
4
3
6
11 23 13
=−
+
−
4
3
6
33 92 26
=−
+
−
12 12 12
33
=
12
3
=2
4
PTS: 1
DIF: Moderate
REF: 3.3 Subtracting Rational Numbers
LOC: 9.N3
TOP: Number
KEY: Problem-Solving Skills | Communication
25. ANS:
a) The greatest number is: –3.3
The least number is: –8.8
−8.8 − (−3.3) = −5.5 or −3.3 − (−8.8) = 5.5
b) We could subtract the least number from the greatest number or we could subtract the greatest
number from the least number.
PTS: 1
LOC: 9.N3
DIF: Moderate
TOP: Number
REF: 3.3 Subtracting Rational Numbers
KEY: Problem-Solving Skills
4