Integer Operations Test Worksheet Unit 3 Test
Part 1: Rational Number Operations
Name:
Date:
TOTAL SCORE
___ / 37
+2 Bonus Pts Possible
1
Which pairs of integers are additive inverses? Select all that apply.
Score: ____ / 5 pts
A) 1 and 10
B) 0 and \(-1\)
C) \(-7\) and 7
D) 20 and \(-20\)
E) \(-335\) and 335
2
Fill in the blanks using the available answer choices. Complete each sentence to show the steps for using absolute value to find \(6 + (-10)\).
Score: ____ / 3 pts
a. The difference in the absolute values of the integers is Blank 1 (Blank 1).
b. Since \(|-10| > |6|\), the sum will be Blank 2 (Blank 2).
c. \(6 + (-10) =\) Blank 3 (Blank 3).
Blank 1 Options
-16 -4 4 16
Blank 2 Options
positive negative
Blank 3 Options
-16 -4 4 16
3A
The table shows the most recent transactions in Marty's bank account. Determine the final balance in Marty's account after these transactions.
Score: ____ / 4 pts
Transaction Amount ($) Initial Deposit 172 Debit Card Purchase -17 ATM Withdrawal -40 Deposit 48
Show Your Calculations & Working:
Final Balance:
$
Unit 3 Test • Part 1 Page 1 of 4
Unit 3 Test • Part 1
Student Name: ___________________________
3B Bonus
To find your answer in 3A, did you add the integers in order or use the Commutative and Associative Properties of Addition to group positive and negative integers? Explain your reasoning.
Score: ____ / 2 pts
Show All Reasoning Steps
4
What number sentence is modeled by the vertical number line?
Score: ____ / 1 pt
1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9
A
\( 3 + 5 = 8 \)
B
\( -8 + 5 = -3 \)
C
\( -5 + (-3) = -8 \)
D
\( -3 + (-5) = -8 \)
5
Evaluate \( r - s \) if \( r = -18 \) and \( s = -11 \).
Score: ____ / 4 pts
A
-29
B
-7
C
7
D
29
Unit 3 Test • Part 1 Page 2 of 4
Unit 3 Test • Part 1
Student Name: ___________________________
6
Describe how to use absolute value to find the distance between \( -7 \) and \( 15 \) on a number line. Then use this method to determine the distance between the integers.
Score: ____ / 3 pts
Explain Method & Calculations:
Final Distance:
7
The table shows the best and worst scores (relative to par) of several golfers throughout the summer. Sort the players in order from least variation in score (1) to greatest variation in score (4).
Score: ____ / 5 pts
Player Best Score Worst Score Tito -3 +8 Arthur +5 +24 Joshua -1 +9 Caleb -2 +13
Order of Variation
1st
(Least)
2nd
3rd
4th
(Greatest)
Unit 3 Test • Part 1 Page 3 of 4
Unit 3 Test • Part 1
Student Name: ___________________________
8
The table shows the number of memberships lost and new memberships added for the first four months. What was the total change? Explain how you found your answer.
Score: ____ / 5 pts
Month Memberships Lost New Added January -83 171 February -121 211 March -56 305 April -120 177
Calculations & Explanation:
Total Change:
9
Indicate whether each product is positive or negative by checking the correct column.
Score: ____ / 3 pts
Product Expression Positive Negative \( -2(-7) \)
|
| \( -2,000(72) \) |
|
|
| \( 15(-1) \) |
|
|
10
Evaluate \( f^2 g h \) if \( f = -3 \), \( g = -5 \), and \( h = 2 \). Show your calculation steps.
Score: ____ / 4 pts
Show Substitution & Steps:
Final Value
_ _ _ _
Unit 3 Test • Part 1 Page 4 of 4
Integer Operations Test Part 2 Worksheet Unit 3 Test
Part 2: Applications & Evaluations
Name:
Date:
TOTAL SCORE
___ / 18
Part 2 Score
1
Fill in the blanks using the available answer choices. Complete the sentence to show how to determine the sign of the product in the expression \(ab\) if \(a = -4\) and \(b = -15\). Then evaluate the expression.
Score: ____ / 3 pts
Since the two integers have Blank 1 (Blank 1), the product will be Blank 2 (Blank 2).
\(ab =\) Blank 3 (Blank 3).
Blank 1 Options
the same sign different signs
Blank 2 Options
positive negative
Blank 3 Options
-60 -45 45 60
2
What is the value of the expression \( \frac{mn}{p} + (-n) \) if \( m = 5 \), \( n = 8 \), and \( p = -2 \)?
Score: ____ / 4 pts
A
-28
B
-20
C
-12
D
12
Workspace:
3
To simplify \( -4 + \frac{120}{-2(-5)} - 3 \), all four operations must be performed once. Describe the order of operations, then simplify.
Score: ____ / 5 pts
Describe step-by-step order:
Simplified Value:
Unit 3 Test • Part 2 Page 1 of 2
Unit 3 Test • Part 2
Student Name: ___________________________
4
Two competing small businesses had the revenues and expenses shown in the table for the first month of the year. If these results remain consistent each month, which business will earn more annual profit, and by how much? Explain your reasoning.
Score: ____ / 6 pts
Category Business 1 Business 2 Revenue ($) Expenses ($) Revenue ($) --- --- --- Advertising — 1,875 Materials — 3,279 Fees — 560 Sales 11,189 —
Show monthly profit or loss calculations:
Show annual conversions and calculations:
Winning Business:
Annual Difference:
Integer Operations Test Answer Key Unit 3 Test ANSWER KEY
Part 1: Rational Number Operations
Name:
TEACHER GUIDE
Date:
ANSWER KEY
TOTAL SCORE
37 / 37
+2 Bonus Pts Possible
1
Which pairs of integers are additive inverses? Select all that apply.
Score: ____ / 5 pts
A) 1 and 10 (Leave blank: 1 pt)
B) 0 and \(-1\) (Leave blank: 1 pt)
✓
C) \(-7\) and 7 (Select: 1 pt)
✓
D) 20 and \(-20\) (Select: 1 pt)
✓
E) \(-335\) and 335 (Select: 1 pt)
2
Fill in the blanks using the available answer choices. Complete each sentence to show the steps for using absolute value to find \(6 + (-10)\).
Score: ____ / 3 pts
a. The difference in the absolute values of the integers is 4 (Blank 1: 1 pt).
b. Since \(|-10| > |6|\), the sum will be negative (Blank 2: 1 pt).
c. \(6 + (-10) =\) -4 (Blank 3: 1 pt).
Blank 1 Options
-16 -4 4 ✓ 16
Blank 2 Options
positive negative ✓
Blank 3 Options
-16 -4 ✓ 4 16
3A
The table shows the most recent transactions in Marty's bank account. Determine the final balance in Marty's account after these transactions.
Score: ____ / 4 pts
Transaction Amount ($) Initial Deposit 172 Debit Card Purchase -17 ATM Withdrawal -40 Deposit 48
Calculations & Working steps:
\(172 - 17 = 155\) (+1 pt)
\(155 - 40 = 115\) (+1 pt)
\(115 + 48 = 163\) (+1 pt)
Final Balance:
$ 163 (+1 pt)
Unit 3 Test Answer Key • Part 1 Page 1 of 4
Unit 3 Test • Part 1
Student Name: ___________________________
3B Bonus
To find your answer in 3A, did you add the integers in order or use the Commutative and Associative Properties of Addition to group positive and negative integers? Explain your reasoning.
Score: ____ / 2 pts
Expected Answer: - Grouping positive values: \(172 + 48 = 220\) (+1 pt for property application)
Integer Operations Test Part 2 Answer Key Unit 3 Test ANSWER KEY
Part 2: Applications & Evaluations
Name:
TEACHER GUIDE
Date:
ANSWER KEY
TOTAL SCORE
18 / 18
Part 2 Score
1
Fill in the blanks using the available answer choices. Complete the sentence to show how to determine the sign of the product in the expression \(ab\) if \(a = -4\) and \(b = -15\). Then evaluate the expression.
Score: ____ / 3 pts
Since the two integers have the same sign (Blank 1: 1 pt), the product will be positive (Blank 2: 1 pt).
\(ab =\) 60 (Blank 3: 1 pt).
Blank 1 Options
the same sign ✓ different signs
Blank 2 Options
positive ✓ negative
Blank 3 Options
-60 -45 45 60 ✓
2
What is the value of the expression \( \frac{mn}{p} + (-n) \) if \( m = 5 \), \( n = 8 \), and \( p = -2 \)?
Score: ____ / 4 pts
A
-28 ✓
B
-20
C
-12
D
12
Substitution Steps:
\( \frac{5 \cdot 8}{-2} + (-8) = \frac{40}{-2} - 8 \) (+2 pts) • \( -20 - 8 = -28 \) (+2 pts substitution/evaluation)
3
To simplify \( -4 + \frac{120}{-2(-5)} - 3 \), all four operations must be performed once. Describe the order of operations, then simplify.
Score: ____ / 5 pts
Expected Order Description (+3 pts): 1) Denominator Multiplication: \( -2 \cdot (-5) = 10 \)
Simplified Value: 5 (+2 pts)
Unit 3 Test Answer Key • Part 2 Page 1 of 2
Unit 3 Test • Part 2
Student Name: ___________________________
4
Two competing small businesses had the revenues and expenses shown in the table for the first month of the year. If these results remain consistent each month, which business will earn more annual profit, and by how much? Explain your reasoning.
Score: ____ / 6 pts
Category Business 1 Business 2 Revenue ($) Expenses ($) Revenue ($) --- --- --- Advertising — 1,875
