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Unit 4 - Lesson 7 - Grade 8: Illustrative Mathematics

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Last updated 2 months ago
14 Questions
Note from the author:
Grade 9 Unit 4
Lesson 7: All, Some, or No Solutions
CC BY 2021 Illustrative Mathematics®
Grade 9 Unit 4
Lesson 7: All, Some, or No Solutions
CC BY 2021 Illustrative Mathematics®
Lesson: All, Some, or No Solutions

Which One Doesn’t Belong: Equations (Warm Up)

1.

Which one doesn’t belong?

Thinking About Solutions

2.

Sort these equations into the two types:
  • true for all values
  • true for no values

  • n = n
  • 2t + 6 = 2(t + 3)
  • 3(n + 1) = 3n + 1
  • 1/4(20d = 4) = 5d
  • 5 - 9 + 3x = -10 + 6 + 3x
  • 1/2 + x = 1/3 + x
  • v + 2 = v - 2
  • True for All Values
  • True for No Values
3.

Write the other side of this equation so that this equation is true for all values of u.

6(u - 2) + 2 =

4.

Write the other side of this equation so that this equation is true for no values of u.

6(u - 2) + 2 =

What's the Equation?

Complete each equation so that it is true for all values of x.
5.

6.

7.

Complete each equation so that it is true for no values of x.
8.

9.

10.

11.

Describe how you know whether an equation will be true for all values of x or true for no values of x.

Cool Down: Choose Your Own Solution

Choose Your Own Solution


What value could you write in after 3x that would make the equation true for:
12.

no values of x?

13.

all values of x?

14.

just one value of x?