Simplify expressions by combining like terms and using the distributive property and properties of operations (Part 1).
?
?
?
?
Lessons 7 and 8 pull together the concepts from the previous four lessons and engage students in simplifying complex expressions. In Lesson 7, students look at and discuss common misconceptions, and the problems become progressively more complex and challenging by the end of Lesson 8. Students will need to draw on their skills of computing with rational numbers from Unit 2.
?
In math class, students are attempting to simplify the expression written on the board:
$${7-2(3-8x)}$$
Three students make an attempt at a first step:
Len writes: $${5(3-8x)}$$
Monty writes: $${7-2(-5x)}$$
Nailany writes: $${7-6-16x}$$
Draft 6–8 Progression on Expressions and Equations, by the Common Core Standards Writing Team is made available by Institute for Mathematics and Education, University of Arizona. © 2007 The Arizona Board of Regents. All contents copyrighted. All rights reserved. Accessed Oct. 9, 2017, 10:34 a.m.. For updates and more information about the Progressions, see http://ime.math.arizona.edu/progressions.
Modified by The Match Foundation, Inc.Which expressions below are equivalent to $${4-3(6x-3)}$$? Select all that apply.
a. $${(4-18)x+9}$$
b. $${(4+9)-18x}$$
c. $${4-(18x-9)}$$
d. $${4-18x-3}$$
e. $${4-18x+9}$$
f. $${6x-3 }$$
Determine which expression is equivalent to $${\frac{3}{4}-x\left ( \frac{1}{2}-\frac{5}{8} \right )+\left ( -\frac{3}{8}x \right )}$$.
a. $${-\frac{3}{4} x}$$
b. $${\frac{1}{2} x}$$
c. $${\frac{1}{8}-\frac{7}{8}x}$$
d. $${\frac{3}{4}-\frac{1}{4}x}$$
Math Spring Operational 2015 Grade 7 End of Year 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, 10:41 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.
?
Simplify the expressions.
a. $${-2x+15-4(3x-1)}$$
b. $${-(a+b)-\frac{3}{2}(a-b)}$$
?