Math
Unit 3
7th Grade
Lesson 5 of 11
Add and simplify expressions by combining like terms.
Use the expression below to answer the questions that follow.
$${\frac{1}{3}x-2y-5x+8}$$
a. How many terms are there in the expression?
b. Which terms are “like terms”?
c. Are there any constants? If so, what are they?
d. What are the variables in the expression?
e. What are the coefficients in the expression?
Rewrite the expression $${5x+3x}$$ and the expression $${5x-3x}$$ by combining like terms.
a. Do this by expanding each term using addition.
b. Do this by factoring out a common factor and using the distributive property.
c. Can you rewrite the expression $${5x+3y}$$ or the expression $${5x-3y}$$ by combining terms? Why or why not? Use reasoning from parts a and b to support your answer.
Grade 7 Mathematics > Module 3 > Topic A > Lesson 1 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Find the sum of $${\left ( 0.75x-12y \right )}$$ and $$(-5+6y-0.5x)$$. Show each step in your work and explain why each step is equivalent to the expression in the step before.
The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
Students in Mr. Jackson’s class are simplifying an expression written on the board:
$${{-12p-5n+8n+20p}}$$
Amal simplified the expression to be $${8p+3n}$$, and Andre simplified the expression to be $${-32p-13n}$$.
Mr. Jackson saw a few different answers around the classroom, so he gave the students a hint on the board, writing:
$${{-12p-5n+8n+20p}}$$
$${-12p+20p-5n+8n}$$
$${(-12+20)p+(-5+8)n}$$
a. What did Mr. Jackson do in each step he wrote on the board?
b. Is either Amal or Andre correct? Explain why.
Lesson 4
Lesson 6
Topic A: Evaluating Numerical and Algebraic Expressions
Topic B: Generating Equivalent Expressions
Topic C: Solving Multi-Step Problems using Expressions