ALEX | Alabama Learning Exchange

Multi-Step Equations Review

Classroom Resource Information

Title:

Multi-Step Equations Review

URL:

https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:solve-equations-inequalities/x2f8bb11595b61c86:linear-equations-parentheses/a/multi-step-equations-review

Content Source:

Other
Khan Academy

Type:

Learning Activity

Overview:

In this activity from Khan Academy, students will review solving multi-step equations. The students will solve two-step equations, equations with variables on both sides, and equations using the Distributive Property. This activity has embedded videos, practice problems with immediate checks for the correctness of answers, an explanation option, and more practice choice at the end of the lesson. This review can be assigned to Google Classroom.

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Content Standard(s):

Mathematics
MA2019 (2019)
Grade: 7
Accelerated

21. Solve multi-step linear equations in one variable, including rational number coefficients, and equations that require using the distributive property and combining like terms.

a. Determine whether linear equations in one variable have one solution, no solution, or infinitely many solutions of the form x = a, a = a, or a = b (where a and b are different numbers).

b. Represent and solve real-world and mathematical problems with equations and interpret each solution in the context of the problem. [Grade 8, 11]

Unpacked Content

Evidence Of Student Attainment:

Students:

Recognize and explain when linear equations have one solution, infinitely many solutions, or no solution with and without completing the solving process.
Solve one variable equations with the same variable on both sides and require use of the distributive property.
Analyze and explain solutions in the context of a real-world problem.

Teacher Vocabulary:

One solution
No solution
Infinitely many solutions
Like terms
Distributive property

Knowledge:

Students know:

How to solve one and two step equations with one variable.
Write linear equations given real-world contexts.
That a solution to an equation can represent a real-world quantity.

Skills:

Students are able to:

Apply the distributive property and combine like terms to simplify an equation.
Recognize a solution as representing one solution, no solution, or infinite solutions.
Analyze and solve a real-world problem and write an appropriate equation for it that leads to a solution that can be explained within the context of the problem.

Understanding:

Students understand that:

Equations can now have more than one solution in given real-world scenarios.
The distributive property and combining like terms are essential to simplifying an equation. therefore making it easier to solve.

Diverse Learning Needs:

Mathematics
MA2019 (2019)
Grade: 8

11. Solve multi-step linear equations in one variable, including rational number coefficients, and equations that require using the distributive property and combining like terms.

a. Determine whether linear equations in one variable have one solution, no solution, or infinitely many solutions of the form x = a, a = a, or a = b (where a and b are different numbers).

b. Represent and solve real-world and mathematical problems with equations and interpret each solution in the context of the problem.

Unpacked Content

Evidence Of Student Attainment:

Students:

Recognize and explain when linear equations have one solution, infinitely many solutions, or no solution with and without completing the solving process.
Solve one variable equation with the same variable on both sides and require use of the distributive property.
Analyze and explain solutions in the context of a real-world problem.

Teacher Vocabulary:

one solution
no solution
Infinitely many solutions
like terms
Distributive property

Knowledge:

Students know:

how to solve one and two step equations with one variable.
Write linear equations given real-world contexts.
That a solution to an equation can represent a real-world quantity.

Skills:

Students are able to:

apply the distributive property and combine like terms to simplify an equation.
Recognize a solution as representing one solution, no solution, or infinite solutions.
Analyze and solve a real-world problem and write an appropriate equation for it that leads to a solution that can be explained within the context of the problem.

Understanding:

Students understand that:

equations can now have more than one solution in given real-world scenarios.
The distributive property and combining like terms are essential to simplifying an equation. therefore making it easier to solve.

Diverse Learning Needs:

Essential Skills:

Learning Objectives:
M.8.11.1: Define linear equation, coefficient, distributive property and variable.
M.8.11.2: Recall how to solve equations for a missing variable.
M.8.11.3: Recall properties of operation for addition and multiplication.
M.8.11.4: Solve multi-step equations.
M.8.11.5: Identify properties of operations.

a.
M.8.11.6: Identify how many solutions the linear equation may or may not have.
M.8.11.7: Recall how to solve equations by using substitution.

b.
M.8.11.8: Create an equation to represent a real-world situation or mathematical problem.
M.8.11.9: Analyze the solution in context of a real-world problem.

Prior Knowledge Skills:

Recognize properties of numbers (Distributive, Associative, Commutative).
Define equation, inequality, and variable.
Set up equations and inequalities to represent the given situation, using correct mathematical operations and variables.
Calculate a solution or solution set by combining like terms, isolating the variable, and/or using inverse operations.
Test the found number or number set for accuracy by substitution.
Recall solving one step equations and inequalities.
Recognize properties of numbers (Distributive, Associative, Commutative).
Define equation and variable.
Set up an equation to represent the given situation, using correct mathematical operations and variables.
Calculate a solution to an equation by combining like terms, isolating the variable, and/or using inverse operations.
Test the found number for accuracy by substitution.
Example: Is 5 an accurate solution of 2(x + 5)=12 .
Identify the unknown, in a given situation, as the variable.
List given information from the problem.

Tags:

equations, solve equations, solve multistep equations, twostep equations

License Type:

Custom Permission Type
See Terms: https://www.khanacademy.org/about/tos
For full descriptions of license types and a guide to usage, visit :
https://creativecommons.org/licenses

Partnered Event:

ALEX Resource Development Summit

Accessibility

Text Resources: Content is organized under headings and subheadings

Comments

2019 ALCOS

8.11). Solve multi-step linear equations in one variable, including rational number coefficients, and equations that require using the distributive property and combining like terms.

a. Determine whether linear equations in one variable have one solution, no solution, or infinitely many solutions of form x = a, a = a, or a = b (where a and b are different numbers).

b. Represent and solve real-world and mathematical problems with equations and interpret each solution in the context of the problem.

This resource provided by:

Author:	YVETTE AKRIDGE
The event this resource created for:	ALEX Resource Development Summit

ALEX Classroom Resource

Multi-Step Equations Review