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Adding and Subtracting Integers Practice Test

Master integer operations through engaging quiz practice

Difficulty: Moderate
Grade: Grade 6
Study OutcomesCheat Sheet
Paper art depicting a trivia quiz about mastering integer operations for high school students.

What is 5 + 3?
9
8
6
7
5 + 3 equals 8. This is a basic addition problem involving positive integers. The other options do not result from correctly adding 5 and 3.
What is -4 + 2?
-2
6
2
-6
-4 + 2 gives -2 because the positive number does not fully cancel out the negative value. The sum remains negative as 4 is greater than 2. Thus, -2 is the correct answer.
Compute: 7 - 10.
-3
-17
17
3
Subtracting 10 from 7 results in -3 because you are effectively adding a negative 10. This correct application of subtraction leads directly to -3. The other options represent common arithmetic mistakes.
Compute: -6 - 3.
3
9
-9
-3
When subtracting 3 from -6, you move further into the negatives, resulting in -9. The process shows the additive effect of negative numbers. The other options do not accurately reflect this calculation.
What is -8 + (-2)?
-6
10
-10
6
Adding two negative numbers results in a sum that is even more negative, so -8 plus -2 equals -10. This follows the rule that the absolute values add together and the sign remains negative. The other choices do not follow this arithmetic rule.
Evaluate: 12 + (-7) + 3.
-8
12
-2
8
First, adding 12 and -7 yields 5, and then adding 3 gives a final sum of 8. This problem reinforces combining positive and negative integers in sequence. The other options result from computational errors.
Solve: -15 - (-5) + 2.
12
8
-8
-12
Subtracting a negative number becomes addition; hence, -15 - (-5) gives -10, and adding 2 results in -8. This step-by-step calculation demonstrates proper handling of negative signs. The incorrect choices arise from misapplying these rules.
What is the result of: (-3) + (-4) - 2?
0
-9
9
-7
Adding -3 and -4 gives -7, and subtracting 2 results in -9, demonstrating the cumulative effect of negative numbers. The process underlines the importance of carefully combining negative values. Other options do not correctly follow the subtraction steps.
Compute: 20 - 15 + (-8).
-3
7
3
-7
Subtracting 15 from 20 produces 5, and adding -8 results in -3. This problem tests the understanding of combining subtraction with negative numbers. The other alternatives are the outcomes of common calculation mistakes.
Find the value of: -6 - 4 + 12.
-2
10
-10
2
Adding -6 and -4 results in -10, and then adding 12 produces a final value of 2. This demonstrates how positive numbers can offset negative sums. The incorrect options reflect common miscalculations in integer operations.
Calculate: (-10) + (-5) + 15.
0
15
-10
10
First, (-10) + (-5) equals -15, and adding 15 cancels out the negative sum to achieve 0. This cancellation principle is fundamental in integer arithmetic. The other choices arise from misinterpreting the relationship between positive and negative totals.
Determine the result: 8 + (-3) - (-7).
10
12
-2
2
Subtracting a negative number is equivalent to adding the positive; hence, 8 + (-3) gives 5, and then adding 7 results in 12. This reinforces the concept of double negatives. The remaining options result from failing to properly convert the subtraction of a negative.
Simplify: -9 - (-4) - 3.
0
-9
-8
8
Converting -(-4) to +4, the calculation becomes -9 + 4 which is -5, and subtracting 3 results in -8. This problem highlights the importance of handling double negatives correctly. The other options do not follow the proper steps.
What is the sum: -2 + 4 - 6 + 8?
-4
2
4
0
The sum is computed step-by-step: (-2 + 4) equals 2, then 2 - 6 equals -4, and finally -4 + 8 equals 4. The procedure demonstrates sequential addition and subtraction with integers. The other answers stem from misordering the operations.
If you subtract -8 from 5, what is the result?
8
-13
13
-8
Subtracting a negative is equivalent to adding its positive, so 5 - (-8) becomes 5 + 8, which equals 13. This underscores a key property of integer operations regarding subtraction of negatives. The alternative options do not correctly apply this rule.
Alice had a debt of 15 dollars (-15) and she received 9 dollars, then paid off 4 dollars. What is her net balance?
10
-4
4
-10
Starting with a debt of -15, receiving 9 dollars increases her balance to -6, and paying off 4 dollars reduces it further to -10. This sequential calculation correctly applies the rules for adding and subtracting integers. The other options do not follow the correct order of operations.
A submarine was at -200 meters below sea level. It ascends 45 meters, then descends another 60 meters. What is its final position relative to sea level?
-215
-265
-155
-205
Starting at -200, ascending 45 meters brings the position to -155, and then descending an additional 60 meters results in -215. This problem requires applying both addition and subtraction with negative numbers to track changes in depth. The distractors stem from common miscalculations in interpreting the changes.
A temperature reading was -7°C. The temperature dropped by 5°C in the evening and then rose by 3°C overnight. What is the new temperature?
-12
-15
-5
-9
The evening drop of 5°C takes the temperature from -7°C to -12°C, and the subsequent rise of 3°C results in -9°C. This sequential adjustment of temperature illustrates proper handling of integer operations with negatives. Other options result from incorrectly applying the temperature changes.
Simplify the expression: (-2) - [3 - (-4)] + (-6).
-15
-9
15
-11
First, calculate the bracket: 3 - (-4) becomes 3 + 4, which equals 7. Then, the expression simplifies to -2 - 7 - 6, equaling -15. The other choices are incorrect due to improper handling of the negative sign within the brackets.
A game score starts at 0. A player loses 4 points, gains 7 points, and then loses 10 points. What is the final score?
-17
17
-7
7
Starting from 0, losing 4 points yields -4, gaining 7 points raises the total to 3, and then losing 10 points results in a final score of -7. This problem showcases sequential integer operations in a real-world context. The other options arise from miscalculating one or more steps in the process.
0
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Study Outcomes

  1. Apply integer addition techniques to solve numerical problems accurately.
  2. Analyze integer subtraction scenarios and perform operations with confidence.
  3. Interpret word problems involving integer operations to identify the correct calculations.
  4. Evaluate and verify solutions to ensure understanding of integer arithmetic.
  5. Synthesize learned strategies to approach complex integer problems effectively.

Adding and Subtracting Integers Test Cheat Sheet

  1. Integers Defined - Dive into the world of integers, which include all positive and negative whole numbers plus zero. Picture them marching along a number line; this visual helps you see how they interact in everyday math adventures. Understanding this foundation makes every calculation more intuitive. intomath.org
  2. Adding Same-Sign Integers - When both numbers share a sign, simply add their absolute values and keep that sign intact. Think of it like combining two piles of the same color blocks - (-3) + (-5) is really just a bigger negative block of -8! This rule streamlines your sums and boosts confidence. chilimath.com
  3. Adding Opposite-Sign Integers - For numbers with different signs, subtract the smaller absolute value from the larger one and adopt the sign of the bigger number. Imagine a tug-of-war: 7 vs. 10, and since 10 pulls harder, 7 + (-10) lands you at -3. This trick makes mixed-sign sums a breeze. chilimath.com
  4. Subtract by Adding the Opposite - Turning subtraction into addition of the opposite keeps things consistent. So 6 - (-2) magically becomes 6 + 2, giving you a tidy 8. This approach turns tricky minus signs into friendly pluses. edboost.org
  5. Number Line Magic - Use a number line to visualize every step: moving right for addition, left for subtraction. It's like tracking your character's movement in a video game - each jump or slide changes your score. This hands-on tool cements the concepts in your mind. intomath.org
  6. Real-Life Scenarios - Apply integer rules to temperature changes, bank balances, or altitude shifts to see their real-world power. When your thermostat drops 5 degrees or you withdraw $20, you're using integer arithmetic. Context makes practice stick! schooltube.com
  7. Zero's Neutral Power - Remember, adding zero to any integer leaves it unchanged, like giving a high-five that doesn't alter your mood: -4 + 0 stays confidently at -4. This principle reminds you zero is the ultimate neutral player. chilimath.com
  8. Subtracting with the Rule - Flip the subtraction into addition and switch the sign of the second number to keep your flow. For instance, 5 - (-3) jumps to 5 + 3, landing you at a neat 8. It's a simple hack to dodge subtraction confusion. edboost.org
  9. Practice Reinforcement - Tackle worksheets and quizzes to sharpen your skills and build confidence in integer operations. Regular drills let you spot patterns faster and reduce silly mistakes. Consistency is your secret weapon! k8worksheets.com
  10. Interactive Learning - Level up with games and interactive lessons to make integer practice feel like play. Engaging activities lock in concepts while keeping boredom at bay. Learning through fun ensures you remember what you learn! brainpop.com
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