IM 8.4.7 Lesson: All, Some, or No Solutions
Which one doesn’t belong?
Explain your reasoning.
Select all the equations that are true for all values.
Select all the equations that are true for no values.
Write the other side of this equation so that this equation is true for all values of .
Write the other side of this equation so that this equation is true for no values of .
Consecutive numbers follow one right after the other. An example of three consecutive numbers is 17, 18, and 19. Another example is -100, -99, -98.
How many sets of two or more consecutive positive integers can be added to obtain a sum of 100?
Complete each equation so that it is true for all values of x.
Complete each equation so that it is true for no values of x.
Describe how you know whether an equation will be true for all values of or true for no values of .