Integers: operations and absolute value

What you’ll practice

This quiz targets the core integer moves: adding, subtracting, multiplying, and dividing positives and negatives, plus using absolute value correctly. You’ll also reinforce number-line intuition and sign rules that show up in nearly every middle school unit.

Each question is multiple-choice with 4 options and there’s no timer, so you can slow down to reason through tricky sign changes. Before starting, pick how many questions you want and select a difficulty level—Mixed blends easy, medium, and challenge items for balanced practice.

Common pitfalls to avoid

Many mistakes come from losing track of signs, especially when subtracting a negative or applying absolute value to an expression. Another common slip is mixing up “distance from zero” (absolute value) with “the opposite” (negation).

How the difficulty is balanced

Mixed difficulty rotates straightforward computations with multi-step sign reasoning so you don’t get stuck in one pattern. Easier questions build momentum, while harder ones check deeper understanding and help you spot gaps.

• Watch for double negatives: subtracting a negative becomes addition
• Remember absolute value is always nonnegative (e.g., |−7| = 7)
• Use parentheses when rewriting subtraction (a − (−b))
• Apply sign rules for multiplication/division before calculating
• Estimate on a number line to sanity-check your result
• Don’t confuse −|x| with |−x| (they’re not the same)