Ch 2: Common Core Math Grade 7 - Expressions & Equations: Algebraic Equations

This chapter on algebraic equations is designed to help your seventh grade students meet Common Core requirements in math. You'll discover engaging video lessons and practice questions as well tips for incorporating these learning tools into your curriculum.

Standard: Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making \$25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or \$2.50, for a new salary of \$27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation. (CCSS.MATH.CONTENT.7.EE.B.3)

Standard: Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. (CCSS.MATH.CONTENT.7.EE.B.4)

Standard: Solve word problems leading to equations of the form px + q = r and p(x +q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width? (CCSS.MATH.CONTENT.7.EE.B.4.A)

Standard: Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid \$50 per week plus \$3 per sale. This week you want your pay to be at least \$100. Write an inequality for the number of sales you need to make, and describe the solutions. (CCSS.MATH.CONTENT.7.EE.B.4.B)

Students who have mastered the Common Core standards for algebraic equations will be able to solve mathematical and real-world problems using both numerical and algebraic equations and expressions. They will also be able to work with rational numbers in various forms to construct and solve equations and word problems using variables. The lessons in this collection can be used to help students learn about the following:

• Inverse operations
• Solving rational equations
• Writing and solving problems with one variable using addition, subtraction, multiplication and division
• Translating math sentences to inequalities
• Solving linear inequalities with one step
• Graphing inequalities

You'll be able to tell when your students have mastered these standards when they are able to write, solve and graph simple equations and inequalities using variables to represent quantities.

How to Use These Lessons in Your Classroom

Here are some suggestions you can use to help implement the tools in this collection into your curriculum.

Use Video Lessons and Quizzes to Supplement Homework

Have students watch the video lessons before completing their regular homework assignments. This quick refresher can help to remind students of the concepts they've learned that day in class.

Create Word Problems

Watch the lessons on writing and solving word problems with one variable. Ask each student to write a word problem using one unknown variable. Collect and shuffle the problems, then pass them back and ask students to solve them.

Work Together to Answer Practice Questions

Divide students into small groups and have them work together to solve the problems in the practice quizzes. Have students share their answers and any questions that arise with the class after the exercise.

9 Lessons in Chapter 2: Common Core Math Grade 7 - Expressions & Equations: Algebraic Equations
Test your knowledge with a 30-question chapter practice test
Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.