Lesson Worksheet: Number of Solutions of Linear Equations Mathematics • 8th Grade
In this worksheet, we will practice determining the number of solutions of a linear equation in one variable.
Q1:
Solve .
- A
- B
- C
- DThere is an infinite number of solutions as the equation is always true.
- EThere is no solution for
Q2:
What is the value of if the equation has no solutions?
Q3:
Jacob believes the equation can have more than one solution for special values of and . Is he right? If so, what are the values?
- AYes, ,
- BNo
- CYes, ,
- DYes, ,
Q4:
Solve .
- A
- B
- C
- DThere is no solution for .
- E
Q5:
How many solutions does the equation have?
- AOne solution
- BNo solutions
- CAn infinite number of solutions
Q6:
How many solutions does the equation have?
- AOne solution
- BNo solutions
- CAn infinite number of solutions
Q7:
True or False: The equation is a true statement.
- ATrue
- BFalse
Q8:
How many solutions does the equation have?
- AOne solution
- BAn infinite number of solutions
- CNo solutions
Q9:
True or False: The equation is a true statement when .
- ATrue
- BFalse
Q10:
What is the value of if the equation has an infinite number of solutions?
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