# Exploring Number of Solutions of Equations

Student Preview

Exploration

GR. 6-8

Skill:

Determine whether a linear equation has one solution, infinitely many solutions, or no solution.

# Exploring Number of Solutions of Equations

Look for clues to determine whether linear equations have 0, 1, or an infinite number of solutions in this activity.

### Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

### Multiple-choice question 1

The equation  has:

A
No solution
B
One solution
C
Infinitely many solutions

### Multiple-choice question 2

The equation  has:

A
No solution
B
One solution
C
Infinitely many solutions

### Multiple-choice question 3

The equation  has:

A
No solution
B
One solution
C
Infinitely many solutions

### Open-ended question 1

Fill in the blank with a number that will result in the equation having no solution:

Text and math input

### Open-ended question 2

Fill in the blank with a number that will result in the equation having one solution:

Text and math input

### Open-ended question 3

Write an equation that will have infinitely many solutions. How do you know it has infinitely many solutions?

Text and math input