Math
Unit 3
7th Grade
Lesson 8 of 11
Simplify expressions by combining like terms and using the distributive property and properties of operations (Part 2).
The numbers used in the problems in this lesson require skills working with positive and negative rational numbers. This is a good opportunity to spiral in skills from the previous unit aligned to 7.NS.1 and 7.NS.2. Resources in the Problem Set Guidance include a range of problems from simpler, with just integers, to more complex, with fractions and decimals. Students should get exposure to a wide range of difficulty levels.
A student simplified the expression below as part of their homework. Review their work and check for any mistakes. For each line in their work, explain what they did to get their next step.
Homework Problem:
$${-\frac{1}{3}(5x-2y)-2\left ( \frac{1}{2}x+\frac{1}{3}y \right )}$$
Student’s Work:
Step 1: $${-\frac{5}{3}x+\frac{2}{3}y-x-\frac{2}{3}y}$$
Step 2: $${-\frac{5}{3}x-x+\frac{2}{3}y-\frac{2}{3}y}$$
Step 3: $${\left ( -\frac{5}{3}-1 \right )x+0}$$
Step 4: $${-\frac{8}{3}x}$$
Find the perimeter of the parallelogram.
An expression is given.
$${-2y+\frac{3}{2}x+\frac{7}{4}}$$
Which are equivalent to the given expression? Select each correct answer.
Math Spring Operational 2016 Grade 7 Released Items is made available by The Partnership for Assessment of Readiness for College and Careers (PARCC). Copyright © 2017 All Rights Reserved. Accessed Oct. 9, 2017, 10:59 a.m..
The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
Which expressions are equivalent to the expression $$n+\frac{5}{6}(m-n)-\frac{1}{3}m$$? Select all that apply.
Lesson 7
Lesson 9
Topic A: Evaluating Numerical and Algebraic Expressions
Topic B: Generating Equivalent Expressions
Topic C: Solving Multi-Step Problems using Expressions