Properties of Exponents Worksheet | 8th Grade Math Mastery with Answer Key

Properties of exponents worksheet for 8th grade math

This properties of exponents worksheet is the first part of an 11 page 8th grade math packet with 70 questions. Students start with exponents and scientific notation, then move on to linear equations and systems, functions and data, and geometry.

The four sections follow the main strands of 8th grade math, so the packet works as a mastery check for the whole year or as a unit by unit review.

Teachers who need a properties of exponents worksheet with more 8th grade practice will find four 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 four sections, and each one has its own heading and directions.

• Real numbers and exponents: 15 multiple choice questions on properties, simplifying and values, such as 3^3 times 3^2, or writing 6,200,000 in scientific notation.
• Linear equations and systems: 20 questions, with 10 multiple choice and 10 true or false, such as solving x/3 – 1 = 4, or deciding if 2x + 10 = 2x + 5 has the solution x = 0.
• Functions and bivariate data: 15 fill in the blank questions using a word bank, such as a function without a constant rate of change being a nonlinear function. Some words are distractors.
• Geometry, the Pythagorean theorem and transformations: 20 questions, with 10 multiple choice and 10 true or false, such as the volume of a cylinder with radius 3 cm and height 10 cm, or what a reflection across the y-axis does to a point.

The set mixes formats, so students practice multiple choice, true or false and word bank questions in one packet.

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 properties of exponents worksheet

The lesson plan is set for 240 minutes, spread over 4 or 5 sessions. Its objectives are to use the properties of integer exponents and convert with scientific notation, to solve linear equations in one variable and evaluate systems, to define, evaluate and compare functions and read scatter plots, and to use the Pythagorean theorem and find the volumes of cylinders, cones and spheres.

Each session covers one section. Session 1 focuses on the rules of exponents and the decimal form of scientific notation. Session 2 stresses multi-step equations and graphs of solutions. Session 3 covers functions and bivariate data, and the teacher reminds students that some words in the word bank are distractors. Session 4 uses physical models or graphs to show translations, reflections and dilations.

The materials list the printed worksheet, scientific calculators, graph paper and rulers, and pencils and erasers.

Because each session has its own section, a teacher can also use a single section as a quick unit check.

The answer sheet keeps the worksheet clean for reuse, and the answer key gives a short explanation after every answer.

Teachers who look for 8th grade math practice or a Pythagorean theorem review will find both here, and the properties of exponents worksheet with answer key pages lets a helper check the work in minutes.

Where it fits

Use it for a mastery check, a review week, test prep, tutoring or homework. 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 properties of exponents worksheet as a baseline and repeat the set after a few weeks to see growth.

A scientific calculator is useful for the exponent and volume questions, but students should still show their steps on scratch paper.

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