Summer Review Packet | Integers, Equations, Ratios and Geometry with Answer Key

Summer review packet for 7th grade math

This summer review packet is an 11 page worksheet with 70 questions that review the main 7th grade topics. It is meant for summer school, a summer review at home or a first week back at school.

The five sections cover rational numbers and integers, expressions, equations and inequalities, ratios and proportions, geometry and measurement, and statistics and probability.

Teachers and families who need a summer review packet for 7th grade math will find five sections here, and the packet comes with an answer key, an answer sheet and a lesson plan.

What’s on the pages

The worksheet has five sections, and each one has its own heading and directions.

• Rational number operations and integers: 10 multiple choice and 5 true or false questions, such as (-5) x 8, (-6) x (-7) and -3 + 7 – 10.
• Expressions, equations and inequalities: 10 multiple choice and 5 true or false questions, such as solving x + 9 = 21, expanding 4(x + 3) and solving 3x + 7 = 22.
• Ratios, rates and proportional relationships: 10 multiple choice and 5 true or false questions, such as solving x / 6 = 5 / 10, 2 cups of flour for 12 cookies and a class with a ratio of boys to girls of 3 to 4.
• Geometry and measurement: 10 multiple choice and 5 true or false questions, such as the area of a circle with a radius of 3 cm, the perimeter of a square with a 7 cm side and the volume of a rectangular prism.
• Statistics and probability: 10 fill in the blank questions with a Word Bank that has extra words, such as the sample space, the mode and a probability of one hundred percent.

Each section starts with multiple choice and ends with true or false, so students move from computing to reasoning.

What’s in the download

• Student worksheet: 11 pages
• Answer key: 15 pages, with a short explanation after each answer
• Answer sheet: 3 pages
• Lesson plan: 2 pages

The four parts add up to 31 pages, and everything comes as PDF.

How to use this summer review packet

The lesson plan is set for 90 minutes. Its objectives are to consolidate operations with rational numbers, including integers, to solve one-step and two-step linear equations and evaluate expressions, to apply rates, ratios, proportions and percentages to real-world problems, to find perimeter, area, circumference and volume, and to define basic statistical measures and probability ideas.

The plan begins with a 10 minute warm-up on integer rules and the order of operations. Sections 1 and 2 follow with board demonstrations, small group work takes 20 minutes for Sections 3 and 4, and Section 5 takes 15 minutes with the Word Bank.

A 10 minute class review of tricky questions and an exit ticket finish the lesson. The materials list a worksheet copy for each student, pencils and scratch paper, and rulers and formula reference sheets.

For home use, you can do one section a day over a week. The answer key explanations let a parent see how each answer is found, even if they have not used these topics in a while.

The answer sheet keeps the worksheet clean for reuse.

Families who look for a 7th grade math summer review or integers and equations review that keeps skills fresh will find it here, as well as a summer review for 7th graders in one place. The summer review packet with answer key pages helps a helper check each section.

Where it fits

Use it for summer school, a summer review at home, a back to school warm up, math centers or intervention. Homeschool families can work through one section a day.

Take a look at the preview pages before you buy, so you can see the worksheet, the answer key and the answer sheet.

For more practice, browse the math worksheets, the wider set of printable worksheets or the whole shop.

Many teachers use this summer review packet with a small group during the first weeks of school and repeat it after a few weeks to see growth.

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