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Copyright © Swun Math (^) Grade 8 Unit 4 Lesson 10 P TE

Equations: No Solution or Many

Procedural Lesson

Grade 8 · Unit 4 · Lesson 10
MC: 8 .EE.7a

Problem of the Day

Objective: I will identify equations with many or no solutions.

Vocabulary Teacher Resources

No solution: If an equation yields a statement

that is not true, such as 2=3, then the equation

has no solution.

Infinite solutions: If an equation yields a

statement that is always true, such as 2=2, then

the equation has infinite solutions.

Considerations:

Review the order of operations and the

distributive property and explain how it makes

the work more efficient. If needed, practice

simplifying equations with small numbers and

many like terms. The use of algebra tiles may be

needed to model some of the smaller terms, but

with larger terms it may get too messy.

Steps:

1. Analyze the problem.


2. Simplify by collecting like terms.
    If result is a true statement, then there are
   infinite solutions.
    If variables cancel out, unequal numbers
   remain, or you must divide by zero, there is
   no solution.

Application of MPs:

MP1: When solving equations, what is the first thing

you look for?

When solving equations, the first thing I look

for is_________________________________.

MP7: Why are we not able to simplify the same

variable that is raised to a different power?

Expressions containing the same variable

raised to different powers cannot be simplified

because ____________________.

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MPs
Applied MP

• Embedded MP
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