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Quizzes > Mathematics > Basic Math & Arithmetic

Integers Quiz: Ready to Test Your Math Skills?

Take this free integer quiz to prep for your integers exam and sharpen your skills!

Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art style integers quiz with plus minus signs, number line, absolute value symbols on dark blue background

Ready to conquer your biggest challenge yet? Dive into our Ultimate Integers Quiz: Can You Ace the Integer Challenge? This fun integer quiz challenges you to test your skills on everything from comparing values to tackling absolute value puzzles. You'll sharpen your number sense with real practice integer questions, push your problem-solving with our absolute value test, and level up on fundamental operations in an engaging integer operations quiz . Whether you're prepping for an integers exam or just curious about your mastery, this math quiz integers offers instant feedback and clear explanations for correct and incorrect answers. Think you've got what it takes to dominate every question? Jump in now, challenge yourself with our free integers quiz, and discover how high you can score!

Which of the following is an integer?
-7
2/3
3.5
0.25
Integers are whole numbers without fractional parts, including negative numbers. Among the given options, -7 is a whole number and fits the definition of an integer. Decimal values like 3.5 and 0.25 and fractions like 2/3 are not integers. For more on integers, see Integers definition.
What is the absolute value of -8?
1
8
0
-8
Absolute value measures the distance of a number from zero on the number line without regard to direction. The distance from -8 to zero is 8, so its absolute value is 8. Negative signs are removed in absolute values. Learn more about absolute values at Absolute Value.
What is the result of -3 + 7?
-10
4
10
-4
Adding a positive number moves you to the right on the number line from -3. Moving 7 units right from -3 lands at 4. Thus, -3 + 7 equals 4. For more practice with integer addition, visit Khan Academy on Integer Addition.
What is 5 multiplied by -2?
10
-10
-7
7
Multiplying a positive number by a negative number yields a negative result. Here, 5 × -2 equals -10. The product's absolute value is 10, and the negative sign comes from one negative factor. See Multiplying Negatives for details.
What is the value of (-4) - 6?
-2
10
-10
2
Subtracting a positive number moves you further left on the number line. Starting at -4 and moving 6 units left gives -10. Thus, (-4) - 6 equals -10. More on integer subtraction can be found at Khan Academy on Integer Subtraction.
Which integer is greater: -3 or -7?
7
-3
3
-7
On the number line, numbers to the right are greater. -3 is to the right of -7, making -3 greater. Positive numbers like 3 or 7 are not part of this comparison. For more on ordering integers, see Number Line Basics.
Calculate |-5| + |-2|.
-7
7
1
3
First, |-5| equals 5 and |-2| equals 2 since absolute values are nonnegative. Adding them gives 5 + 2 = 7. Absolute values convert negatives to their positive counterparts. Learn more at Absolute Value.
What is -12 ÷ 3?
-4
9
4
-9
Dividing a negative number by a positive number yields a negative result. -12 divided by 3 equals -4. The absolute value of the result is 4, with a negative sign retained. For more details, see Dividing Negatives.
Solve for x: 3x + 5 = -4.
3
1/3
-3
-1/3
Subtract 5 from both sides: 3x = -9. Then divide by 3 to get x = -3. This isolates x correctly following algebraic rules. For step-by-step solving, see Linear Equations Guide.
If |x - 2| = 5, what are the integer solutions for x?
x = 5 or -5
x = -3 or 7
x = 7 or -7
x = 3 or -3
The equation |x - 2| = 5 means x - 2 = 5 or x - 2 = -5. Solving gives x = 7 or x = -3. Only those satisfy the absolute value condition. More on this topic at Absolute Value Equations.
Evaluate: -(-4) + |-6| - (-2).
12
-12
8
2
Compute each part: -(-4) = 4, |-6| = 6, and -(-2) = 2. Summing gives 4 + 6 + 2 = 12. Careful handling of double negatives is essential. For more examples, visit Working with Negative Numbers.
What is the sum of all integers from -3 to 7 inclusive?
11
22
-11
1
Pairing numbers equidistant from zero (like -3+3, -2+2, -1+1) gives zero, leaving 0 + 4 + 5 + 6 + 7 = 22. Summing sequential integers can also use the average formula: ((-3+7) × 11) ÷ 2 = 22. For more, see Sum of Sequences.
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Study Outcomes

  1. Apply Integer Operations -

    Perform addition, subtraction, multiplication, and division with positive and negative numbers confidently during the integers quiz.

  2. Assess Absolute Values -

    Determine and compare absolute values to solve problems involving magnitude in the math quiz on integers.

  3. Analyze Number Properties -

    Identify commutativity, associativity, and distributivity of integers to simplify and solve expressions in the integer quiz.

  4. Solve Challenging Problems -

    Approach and solve tricky integer quiz questions with strategies suited for your upcoming integers exam.

  5. Verify Solutions -

    Check and adjust your answers accurately to ensure correctness in this free integers quiz challenge.

Cheat Sheet

  1. Efficient Integer Addition and Subtraction -

    When tackling the integers quiz, use the number line strategy to visualize adding and subtracting integers. For example, −3 + 5 moves 5 steps right from −3 to land on 2. A handy mnemonic for subtraction is "Keep, Change, Change," which turns a − b into a + (−b) for consistency (source: Khan Academy).

  2. Integer Multiplication and Division Rules -

    In the integer quiz, remember that multiplying or dividing two integers with the same sign yields a positive result, while different signs give a negative result. For instance, (−4) × (−5) = 20 and 12 ÷ (−3) = −4. Mnemonic: "Same signs, positive times; different signs, negative vibes" (source: MIT OpenCourseWare).

  3. Order of Operations with Integers -

    To excel in a math quiz integers challenge, apply PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) carefully when negatives are involved. For example, −2 + 3 × 4 = −2 + 12 = 10, not (−2 + 3) × 4. Adhering to guidelines from the National Council of Teachers of Mathematics ensures consistent solutions.

  4. Absolute Value and Its Properties -

    Absolute value often appears in integer quiz questions because |x| measures distance from zero: |−7| = 7 and |5| = 5. When solving an inequality like |x| < 3, split it into −3 < x < 3 (source: University algebra text). Remember: the absolute value is always nonnegative.

  5. Divisibility, GCD, and LCM of Integers -

    On your integers exam, properties like greatest common divisor (GCD) and least common multiple (LCM) apply to negatives too (e.g., gcd(18, −24) = 6). Use the Euclidean algorithm - gcd(a, b) = gcd(b, a mod b) - a fundamental tool in number theory courses (source: Journal of Integer Sequences). Recognizing simple divisibility rules (like digit-sum tests for 3) speeds up problem-solving.

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