# 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?