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Quizzes > Mathematics > Basic Math & Arithmetic

Test Your Adding and Subtracting Integers Skills Now

Think you can master the adding and subtracting integers test? Dive in!

Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art math quiz adding subtracting integers plus minus symbols whole number practice on teal background

This adding and subtracting integers quiz helps you practice with positives and negatives and find any gaps before a test. Work through quick problems, get instant feedback, and track your score as you go. Want more? Try our guided practice or the mixed integer quiz .

What is -3 + 7?
-4
10
-10
4
When adding -3 to 7, you are moving 3 units left and 7 units right on the number line. The net movement is 4 units to the right, giving 4. This demonstrates that adding a positive integer increases the value by that amount.
What is 5 - 9?
14
-4
4
-14
When subtracting 9 from 5, you move 9 units left starting at 5 on the number line, which lands at -4. Subtraction of a larger number from a smaller one crosses zero into negatives. Thus, 5 - 9 = -4.
What is -8 - 2?
10
-6
6
-10
When you subtract 2 from -8, you move two units further left on the number line, landing at -10. Subtracting a positive integer always decreases the value. Therefore, -8 - 2 = -10.
What is 4 + (-6)?
-10
10
2
-2
Adding -6 to 4 is the same as subtracting 6 from 4, which results in -2. On the number line, you start at 4 and move 6 units left. This illustrates that adding a negative integer decreases the value.
What is -4 + (-7)?
3
-11
11
-3
Adding two negative integers combines their absolute values and keeps the negative sign. Here, 4 + 7 equals 11, and since both are negative, the result is -11. This rule applies to any pair of negative numbers.
What is 12 - (-5)?
-7
17
-17
7
Subtracting a negative number is equivalent to adding its positive counterpart. So 12 - (-5) becomes 12 + 5, which equals 17. Remember the rule: subtracting negatives flips the sign.
What is -3 - (-10)?
-13
7
13
-7
Subtracting -10 from -3 is like adding +10 to -3. The operation becomes -3 + 10, which equals 7. This illustrates that subtracting a negative reverses the subtraction.
What is 0 + (-9)?
-9
-1
9
0
Adding -9 to 0 starts you at zero and moves 9 units to the left on the number line. This lands at -9. Zero acts as the identity for addition, so only the other addend determines the result.
What is 2 - 5 + (-3)?
6
0
-4
-6
Perform the operations left to right: 2 - 5 equals -3, then adding -3 gives -3 + (-3) = -6. Both subtraction and adding a negative move left on the number line. Always simplify step by step.
What is -6 - ( -4 + 2 )?
2
-4
-2
4
First evaluate inside the parentheses: -4 + 2 = -2. Then -6 - (-2) becomes -6 + 2, resulting in -4. Distributing the negative sign reverses the sign inside the parentheses.
What is ( -3 + 8 ) - ( 5 - 12 )?
-2
2
-12
12
Compute each group: -3 + 8 = 5 and 5 - 12 = -7. Then subtract: 5 - (-7) equals 5 + 7, which is 12. Handling each parentheses separately simplifies the expression.
What is -9 + 4 - ( -2 - 6 )?
-3
-1
3
1
First simplify inside the parentheses: -2 - 6 = -8. The expression becomes -9 + 4 - ( -8 ), which is -5 + 8 = 3. Remember that subtracting a negative is the same as adding its positive.
0
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Study Outcomes

  1. Interpret integer operations -

    Understand how to represent and manipulate positive and negative whole numbers within the adding and subtracting integers quiz context.

  2. Apply addition rules -

    Use clear strategies to accurately add positive and negative integers, enhancing calculation precision.

  3. Apply subtraction rules -

    Convert subtraction problems into addition of opposites and handle negative results with confidence.

  4. Identify common pitfalls -

    Spot and correct typical errors, such as sign mistakes, while completing the adding and subtracting integers test.

  5. Enhance mental math speed -

    Practice timed questions to boost your calculation speed and problem-solving confidence.

  6. Evaluate mastery -

    Assess your proficiency and track improvement, preparing you for more advanced integer challenges.

Cheat Sheet

  1. Understanding the Number Line Method -

    The number line is a visual tool that helps you add and subtract integers by moving right for positive steps and left for negative steps (source: Khan Academy). For example, starting at -3 and moving 5 steps yields -3 + 5 = 2, making visual tracking a breeze.

  2. Applying Sign Rules for Integer Addition -

    When adding integers with the same sign, add their absolute values and keep the sign (e.g., -4 + -6 = -10); with opposite signs, subtract the smaller absolute value from the larger and take the sign of the larger (e.g., -7 + 2 = -(7 - 2) = -5) (per National Council of Teachers of Mathematics). Mastering these rules is key for success in any integers adding and subtracting quiz.

  3. Rewriting Subtraction as Addition -

    Transform any subtraction problem into addition by adding the opposite: a - b becomes a + (-b), so 4 - (-3) becomes 4 + 3 = 7 (as noted in UC Berkeley's math notes). This strategy helps simplify subtraction and is often featured in addition and subtraction of integers quizzes.

  4. Leveraging Absolute Value to Compare Magnitudes -

    Use the absolute value |n| to measure an integer's distance from zero, so | - 8| = 8 and |5| = 5 when deciding which integer has greater magnitude (according to the University of Cambridge). In problems like -9 + 4, compare |9| and |4|, subtract to get 5, then assign the sign of the larger absolute value for quick mental math.

  5. Utilizing Associative and Commutative Properties -

    Group and reorder terms to simplify multi-step problems, since addition of integers is both associative and commutative (e.g., (-3 + 7) + (-2) = (-3 + -2) + 7 = 2) (per MIT OpenCourseWare materials). Rearranging terms can speed up your calculations and boost confidence on your adding and subtracting integers test.

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