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Quizzes > Mathematics

Integers Practice Test: Add, Subtract, Multiply, and Divide

Quick integer operations practice with add, subtract, multiply, divide. Instant results.

Editorial: Review CompletedCreated By: Preston BassUpdated Aug 27, 2025
Difficulty: Moderate
Grade: Grade 7
Study OutcomesCheat Sheet
Colorful paper art promoting a middle school integers quiz for improved arithmetic skills.

This integers practice test helps you build speed and accuracy with adding, subtracting, multiplying, and dividing integers. Work through quick questions, watch the signs, and spot gaps to review before your next test. For extra practice on sums and differences, try our adding and subtracting integers quiz and adding and subtracting integers practice.

What is 7 + (-3)?
10
-10
0
4
When adding a positive number and a negative number, subtract the absolute value of the negative from the positive. The result is 4 because 7 - 3 equals 4.
What is -5 - 8?
13
3
-3
-13
Subtracting 8 from -5 moves further into the negative direction. The correct answer is -13 because -5 - 8 equals -13.
What is (-6) + (-2)?
-4
4
-8
8
When you add two negative numbers, you add their absolute values and keep the negative sign. Thus, (-6) + (-2) equals -8.
What is 4 Ã- (-3)?
-12
7
12
-7
Multiplying a positive number by a negative number yields a negative product. Since 4 times 3 equals 12, the correct answer is -12.
What is (-15) ÷ 3?
-18
-5
18
5
Dividing a negative number by a positive number results in a negative quotient. Here, 15 divided by 3 is 5, so (-15) ÷ 3 equals -5.
Calculate: (-4) Ã- 6.
10
-10
-24
24
Multiplying -4 by 6 involves multiplying the absolute values and then applying a negative sign. The correct answer is -24, which reinforces the rules of multiplication with negatives.
Calculate: 12 ÷ (-3).
-4
-9
9
4
Dividing 12 by -3 means you first divide the numbers ignoring the signs and then assign a negative sign to the result. The answer is -4, demonstrating integer division rules with negatives.
What is the result of (-7) - (-2)?
5
9
-9
-5
Subtracting a negative number is the same as adding its positive value. Thus, (-7) - (-2) becomes -7 + 2, which equals -5. This reinforces the process of handling subtracting negatives.
Solve: 3 - (-8).
-11
5
-5
11
Subtracting a negative number is equivalent to adding its positive value. In this problem, 3 - (-8) equals 3 + 8, which is 11. It demonstrates the basic rule for subtracting negatives.
Solve: (-9) + 15.
24
6
-6
-24
Adding a negative number and a positive number requires subtracting the absolute value of the negative from the positive. Here, 15 minus 9 equals 6. This problem reinforces the rules of adding integers with different signs.
Which of the following equals the product of (-3) and (-4)?
-12
12
7
-7
Multiplying two negative numbers results in a positive product. Since (-3) Ã- (-4) equals 12, the correct answer is 12. This fundamental rule is essential in integer multiplication.
What is the result of (-12) ÷ (-3)?
-4
6
4
0
Dividing two negative numbers yields a positive result. Here, 12 divided by 3 is 4, so (-12) ÷ (-3) equals 4. This question reinforces division rules with negative integers.
Simplify: 7 + (-3) Ã- 2.
5
1
-1
-5
Following the order of operations, the multiplication (-3) Ã- 2 is performed before the addition. This gives -6, and then 7 + (-6) equals 1. The problem emphasizes the significance of performing multiplication before addition.
Simplify: (-2)².
2
4
-2
-4
When squaring a negative number, the result is positive because a negative times a negative gives a positive. Here, (-2)² equals 4, demonstrating this exponent rule. It reinforces careful treatment of exponents with negative bases.
Solve: (-10) + 4 Ã- (-3).
-2
-22
22
2
According to the order of operations, multiplication comes first: 4 Ã- (-3) equals -12. Then adding -10 results in -22. This question combines multiplication and addition with negative integers.
Find the result of: (-3) Ã- [2 - (-4) + (-1)].
9
15
-9
-15
First, simplify the expression inside the brackets: 2 - (-4) becomes 2 + 4, which equals 6, and then adding (-1) gives 5. Multiplying -3 by 5 yields -15. This problem combines several operations in one expression.
A submarine descends 20 meters, ascends 8 meters, and then descends another 15 meters. What is its final position relative to the starting point?
-7
27
7
-27
Calculate the net displacement by adding the movements: -20 + 8 equals -12, and then -12 - 15 equals -27. The final position is 27 meters below the starting point. This word problem illustrates how to combine several integer operations.
Solve for x: 2x - 3(-x + 4) = -2.
-2
-4
2
4
First, distribute -3 to get 2x + 3x - 12, which simplifies to 5x - 12. Setting 5x - 12 equal to -2 and solving gives 5x = 10, so x = 2. This problem tests skills in distribution and solving linear equations with integers.
Simplify the expression and evaluate: (-2) Ã- (-3) + 4 ÷ (-2) - (-5).
-9
9
3
-3
First, multiply (-2) and (-3) to get 6, then divide 4 by (-2) to obtain -2. Subtracting a negative (-(-5)) converts to adding 5, so the final result is 6 - 2 + 5 which equals 9.
Evaluate the expression: [(-8 ÷ 2) Ã- (-3)] - [7 - (-4 + 1)].
10
-10
2
-2
Simplify the expression in the first bracket: (-8 ÷ 2) equals -4, and -4 multiplied by (-3) gives 12. In the second bracket, -4 + 1 equals -3, so 7 - (-3) is 10. Subtracting the second bracket from the first gives 12 - 10 = 2.
0
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Study Outcomes

  1. Apply integer addition and subtraction skills to solve arithmetic problems.
  2. Perform multiplication and division of integers accurately.
  3. Analyze integer expressions to determine correct order of operations.
  4. Demonstrate proficiency in using integer arithmetic in practical scenarios.

Integers Quiz: Add, Subtract, Multiply & Divide Cheat Sheet

  1. Understand the Rules for Multiplying Integers - Multiplying integers can feel like a magic trick once you know the secret handshake! Remember that two negatives make a positive, while mixing one positive and one negative always gives you a negative. Master these rules and those pesky -3 × -4 calculations will be a breeze!
  2. Master the Rules for Dividing Integers - Division follows the same sign rules as multiplication, so you'll always stay consistent. Positive ÷ positive and negative ÷ negative yield a positive, while mixing signs gives you a negative quotient. Once you've got this down, -12 ÷ -3 = 4 will feel as simple as slicing a pizza!
  3. Apply the Commutative Property of Multiplication - Swapping the order of your factors doesn't change the product, so a × b = b × a is your new mantra. This means (-2) × 5 and 5 × (-2) both equal -10 - no funny business involved. Embrace this property and watch your homework time shrink!
  4. Understand the Associative Property of Multiplication - Grouping factors differently never changes the result: (a × b) × c = a × (b × c). That means ((-2) × 5) × 3 and (-2) × (5 × 3) both give -30, so you can rearrange at will. Use this flexibility to simplify long chains of multiplication!
  5. Learn the Distributive Property - Distribute multiplication over addition: a × (b + c) = (a × b) + (a × c). For example, 2 × (3 + 4) becomes (2 × 3) + (2 × 4) for a total of 14. This trick will let you break down tough problems into bite‑sized chunks!
  6. Recognize the Identity Property of Multiplication - Multiplying any number by 1 leaves it unchanged, so a × 1 = a. This might seem trivial, but spotting the "1" can sometimes simplify a monster expression. Keep an eye out for hidden ones lurking in your equations!
  7. Practice with Real‑World Problems - Applying integer operations to everyday scenarios makes them stick in your brain. If a diver descends 25 feet and then another 8 feet, that's -25 + (-8) = -33 feet below the surface - no calculator required! Tackling fun word problems will turn you into an integer‑solving superhero.
  8. Use Visual Aids for Addition and Subtraction - Number lines, colored counters, or even sliced pizza diagrams can bring abstract integer rules to life. Seeing +3 and -5 on a line helps you grasp why they combine into -2. Visual strategies are like training wheels for your math brain!
  9. Remember the Rules for Adding and Subtracting Integers - Same-sign adds keep the sign; opposite-sign subtracts the smaller absolute value from the larger. For instance, (-7) + (-2) = -9, while 7 + (-2) = 5. Mastering these rules means no more guesswork on your quizzes!
  10. Practice, Practice, Practice - Consistent drills build confidence faster than cramming the night before. Use worksheets, flashcards, or online quizzes to keep your skills sharp and your mind agile. Remember: every problem you solve is one more step toward integer mastery!
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