Four Ops Sprint Answer Key

This worksheet gives students a broad review of addition, subtraction, multiplication, and division with integers all on the same page. That matters because many students can handle one integer rule at a time, but they get mixed up when the operation changes from problem to problem. Here, students work through examples such as -8 + 13, 17 + (-9), -14 + (-6), 7 – 18, -6 × 7, 8 × (-4), -48 ÷ 6, and -100 ÷ 10. The worksheet strengthens integer computation, sign rules, operation recognition, multiplication and division facts, and number sense while forcing students to pause and ask, “What operation am I doing, and which sign rule belongs with that operation?” It is especially useful for grades 6-7 students who have already learned the individual rules and now need practice switching between them.

For a parent who does not remember all of the integer rules, the most helpful thing to know is that addition and subtraction follow one kind of thinking, while multiplication and division follow another. With multiplication and division, the sign rule is simple: same signs give a positive answer, different signs give a negative answer. Addition is different because students have to compare the signs and sometimes compare absolute values. Subtraction is usually easiest if the child rewrites it as adding the opposite first.

Learning Goals

• Use All Four Operations: Students practice integer addition, subtraction, multiplication, and division in one mixed set.
• Choose the Correct Sign Rule: Learners identify which rule belongs to the operation in front of them.
• Switch Between Strategies: Students move from addition thinking to subtraction thinking and then to multiplication or division rules.
• Strengthen Fact Fluency: Familiar multiplication and division facts help students focus on the signs rather than basic arithmetic.
• Build Operation Awareness: Students learn not to apply one integer rule to every problem.

Parent-Friendly Rule Guide

• Addition, Same Signs: Add the absolute values and keep the common sign.
• Addition, Different Signs: Subtract the smaller absolute value from the larger and keep the sign of the number with the greater absolute value.
• Subtraction: Change it to addition of the opposite, then use the addition rules.
• Multiplication and Division: Same signs = positive. Different signs = negative.
• Zero: Any integer multiplied by zero is zero, and zero divided by a nonzero number is zero.

Classroom & Home Use

• Excellent Mixed Review: Students cannot stay on autopilot because the operation changes throughout the page.
• Useful for Parents: Instead of memorizing every answer, adults can help by asking, “Which operation is this?”
• Good Test Preparation: Mixed-operation pages are much closer to what students often see on quizzes and unit reviews.
• Helpful for Spotting Weak Areas: A student may do well on multiplication but struggle with subtraction, and this page makes that easy to notice.
• Builds Confidence: Repeated switching helps students become more flexible and less nervous around negative numbers.

The real value of this worksheet is that it teaches students to slow down just enough to identify the operation before choosing the rule. Addition, subtraction, multiplication, division, positive integers, negative integers, zero, and sign reasoning all work together on the same page. For parents, the best question to ask is not “What is the answer?” but “What operation are you doing, and what sign rule goes with it?” That keeps the child thinking instead of guessing. In classroom and homeschool settings, this worksheet is a strong overall practice page for building fluency with all four integer operations.