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Unit 4, Lesson 10

All, Some, or No Solutions

Accelerated 7

Practice

Problem 1
Student Task Statement
For each equation, decide if it is always true or never true.

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Problem 2

Student Task Statement

Mai says that the equation has no solution because the left hand side is double the right hand side. Do you agree with Mai? Explain your reasoning.

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Problem 3

Student Task Statement

Write the other side of this equation so it's true for all values of :
Write the other side of this equation so it's true for no values of :

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Problem 4

Student Task Statement

Here is an equation that is true for all values of : .

Elena saw this equation and says she can tell that is also true for any value of .

How can she tell? Explain your reasoning.

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Problem 5

ForLesson 7: More Balanced Moves

Student Task Statement

Elena and Lin are trying to solve . Describe the change they each make to each side of the equation.

Elena’s first step is to write

.

Lin’s first step is to write

.

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Problem 6

ForLesson 9: Strategic Solving

Student Task Statement

Solve each equation and check your solution.

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Problem 7

ForLesson 17: Drawing Triangles (Part 2)

Student Task Statement

A triangle has one side that is 5 units long and an adjacent angle that measures . The two other angles in the triangle measure and . Complete the two diagrams to create two different triangles with these measurements.

Two images, each a segment with side 5 and a dotted line rising at a 25 degree angle from the segment.

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Practice

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All, Some, or No Solutions

Practice

Problem 1

Student Task Statement

Lesson 10 Resources

Problem 2

Student Task Statement

Problem 3

Student Task Statement

Problem 4

Student Task Statement

Problem 5

Student Task Statement

Problem 6

Student Task Statement

Problem 7

Student Task Statement