Solve equations in the forms $${px+q=r }$$ and $${p(x+q)=r}$$ algebraically.
?
?
?
?
In this lesson, students learn the concepts behind the mechanics of solving an equation. In the next two lessons, students will have further opportunities to practice solving equations in contextual situations. Solving equations in these two forms is a fluency expectation in 7th grade. See our Guide to Procedural Skill and Fluency for ideas of activities to use throughout the lesson and remaining part of the unit.
?
A balance is shown below.
Yoshiro has a new puppy. She decides to create an enclosure for her puppy in her backyard. The enclosure is in the shape of a hexagon, with one pair of opposite sides running the same distance along the length of two parallel flowerbeds. A sketch of the enclosure is shown below.
If the perimeter of the enclosure is 137 feet, what is the length of each side that runs along the flowerbed? Write an equation to represent the situation, and solve using algebraic properties. Describe each property you use in solving the equation.
Grade 7 Mathematics > Module 2 > Topic C > Lesson 22 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..
Modified by The Match Foundation, Inc.Solve the equations:
a. $${12(x-2)=72}$$ |
b. $${- {1\over3}x+4=-2}$$ |
c. $${5.6-2p=13}$$ |
?
The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
?
Solve each equation for the variable. Show every step in your work that maintains the balance in each equation.
a. $${{1\over2}(x+8)=-10}$$
b. $${-5x+12=20}$$
c.
?