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Quizzes > High School Quizzes > Mathematics

Fraction Addition Word Problems Practice Quiz

Tackle Adding Integers and Fractions with Ease

Difficulty: Moderate
Grade: Grade 6
Study OutcomesCheat Sheet
Middle school students engaged in the Integer Addition Challenge, enhancing their math skills.

What is 3 + 5?
7
9
10
8
Adding 3 and 5 results in 8 because when you combine these two numbers you get 8. This is a basic example of integer addition.
What is -2 + 3?
0
1
5
-1
When you add -2 and 3, the result is 1 because the positive 3 outweighs the negative 2 by 1. This illustrates simple addition with a negative number.
What is -4 + (-3)?
-7
-1
-6
7
Adding two negative numbers results in a more negative number. In this case, -4 + (-3) equals -7.
What is 0 + 6?
0
1
10
6
Zero added to any number does not change its value. Therefore, 0 + 6 equals 6.
What is 7 + (-2)?
-9
9
-5
5
Adding -2 to 7 subtracts 2 from 7, resulting in 5. This question demonstrates addition involving a positive and a negative number.
Calculate: -8 + 12.
-20
5
20
4
Subtracting 8 from 12 yields 4 because 12 is 8 plus 4. This problem reinforces the concept of adding a negative number to a positive number.
Solve the integer addition: -15 + 7.
8
-8
22
-22
When a larger negative number is added to a smaller positive number, the result is negative. Here, -15 + 7 equals -8.
What is the sum of -10 + (-5) + 15?
0
10
-20
5
Adding -10 and -5 gives -15, and adding 15 results in 0. This problem illustrates the balancing effect in integer addition.
Solve: 14 + (-6) + (-4).
-4
8
14
4
Combining 14 and -6 gives 8; then adding -4 results in 4. This demonstrates sequential addition with both positive and negative numbers.
Evaluate: -3 + 0 + 9.
6
-3
9
0
Zero has no effect on the sum, so -3 + 9 equals 6. This reinforces the additive identity property of zero.
Solve the word problem: Sarah had 12 apples, gave away 5, and then found 3 more. How many apples does she have?
11
10
9
8
Subtracting 5 from 12 gives 7, and adding 3 results in 10 apples. This question applies integer addition to a real-life scenario.
Solve: (-20) + 15 + 5.
-10
10
20
0
Calculating (-20) + 15 gives -5, and adding 5 results in 0. This problem demonstrates how positive numbers can offset negatives.
Calculate: -3 + (-7) + 10.
10
4
-10
0
The sum of -3 and -7 is -10, and adding 10 leads to a total of 0. This demonstrates the concept of additive inverses.
Solve: 22 + (-13) + (-2).
9
6
8
7
Adding 22 and -13 yields 9, and subtracting an additional 2 gives 7. This problem reinforces integer addition with multiple terms.
Which sum is equivalent to adding -9 and 9?
0
18
-18
9
When two opposites are added together, they cancel out, giving a result of 0. This is a key concept in understanding integers.
Lisa made a smoothie using 1/3 cup of yogurt and 2/3 cup of almond milk. How many cups of liquid did she use in total?
1 cup
2/3 cup
1/3 cup
1 1/3 cups
When adding fractions with the same denominator, add the numerators: 1/3 + 2/3 equals 3/3, which simplifies to 1 cup. This is a fundamental concept in fraction addition.
Jill had 3/8 of a pizza and Tom gave her an additional 2/8. What fraction of the pizza does Jill now have?
2/8
5/8
1/2
3/8
Since the fractions have the same denominator, simply add the numerators: 3/8 + 2/8 equals 5/8. This is an application of adding like fractions.
If you combine 1/4 cup of sugar with 3/4 cup of sugar for a recipe, how many cups of sugar do you have?
1 1/2 cups
1 cup
1/2 cup
3/4 cup
Adding the fractions 1/4 and 3/4 gives (1+3)/4 which equals 4/4, or 1 cup. This problem reinforces fraction addition with a common denominator.
A student solved a problem by adding 1/2 and -1/2. What is the correct result?
-1/2
0
1
1/2
Adding a number and its negative results in zero. Here, 1/2 + (-1/2) cancels out, yielding 0.
Combine the following: 5 + (-3) + 1/2 + (-1/2). What is the sum?
2.5
2
1
0
The fractional parts 1/2 and -1/2 cancel each other out, leaving the sum of the integers 5 + (-3), which is 2. This problem tests the combination of integer and fraction addition.
0
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Study Outcomes

  1. Understand the rules and properties of integer addition.
  2. Apply integer addition techniques to solve word problems.
  3. Analyze and identify common errors in integer calculations.
  4. Evaluate different strategies to improve accuracy in adding integers.
  5. Demonstrate improved problem-solving skills in integer addition challenges.

Quiz: Adding Integers & Fraction Word Problems Cheat Sheet

  1. Understand the Closure Property - When you add any two integers, you'll always land on another integer - no decimals or fractions sneaking in! It's like having a magic math cloak that keeps everything in integer land. Once you've got this down, integer addition feels rock-solid! Properties of Adding Integers
  2. Master the Commutative Property - Order doesn't matter when adding integers, so 2 + 3 is the same as 3 + 2 every time. Think of it as a swap dance where both partners end up in the same spot. This trick saves you from worrying about order and helps you check your work quickly! Addition on Wikipedia
  3. Learn the Associative Property - Whether you group numbers as (1 + 2) + 3 or 1 + (2 + 3), the sum stays put at 6. It's like rearranging furniture in a room - the layout changes but the room's floor area doesn't! This grouping power makes complex additions simpler. Associative Property Proof
  4. Recognize the Additive Identity - Zero is the superstar that never changes the game. Adding 0 to any integer keeps it exactly the same. This identity move is a great checkpoint to ensure your addition steps are solid. Additive Identity
  5. Identify Additive Inverses - Every integer has an opposite that brings the total back to zero, like a reset button. For example, 7's inverse is −7 because 7 + (−7) = 0. It's a handy way to undo additions and solve equations. Additive Inverse
  6. Adding Integers with the Same Sign - If both numbers are positive or negative, simply add their absolute values and keep the common sign. Picture stacking identical magnets together - they only get stronger! This rule turns "−4 + (−6)" into "−10" in a flash. Addition of Integers Guide
  7. Adding Integers with Different Signs - Subtract the smaller absolute value from the larger one, then take the sign of the number with the bigger absolute value. It's like a tug-of-war where the stronger side wins! So, 7 + (−10) becomes −3 every time. Addition of Integers Guide
  8. Visualize with a Number Line - Use a number line to hop right for positives and left for negatives - it's the perfect mental playground. Each jump is a step in your integer addition adventure! This visual trick turns abstract sums into a fun board‑game journey. Number Line Visualization
  9. Practice with Real‑Life Scenarios - Apply integer addition to temperature changes, bank balances, or gaming scores to see it in action. Real examples solidify the rules faster than flashcards alone. Plus, it's more fun to learn when you're solving problems you actually care about! Real‑Life Integer Addition
  10. Utilize Mnemonic Devices - Remember "Same signs add and keep, different signs subtract; keep the sign of the larger absolute value." It's a catchy chant that sticks in your brain. Mnemonics turn tricky rules into easy-to-recall rhymes! Integer Addition Mnemonic
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