Special Case Solutions Intro Quiz

When an equation has NO SOLUTION, what does that mean?

• there are no values that would make the equation true

• any value would make the equation true

• only one value would make the equation true

What always happens in an equation that has a "special case" solution (either NO SOLUTION or INFINITE SOLUTIONS)?

• all of the variables will cancel out

• the answer will always be positive

• the answer will always be negative

What is the solution to the equation shown?

• there is NO SOLUTION

• there are INFINITE SOLUTIONS

• x = 12

• x = 7

What is the solution to the equation shown?

• there is NO SOLUTION

• there are INFINITE SOLUTIONS

• x = 4

• x = 7

What is the solution to the equation shown?

• there is NO SOLUTION

• there are INFINITE SOLUTIONS

• x = 6

• x = 8

What is the solution to the equation shown?

• there is NO SOLUTION

• there are INFINITE SOLUTIONS

• x = 8

• x = 11

What is the solution to the equation shown?

• x = 8.5

• x = 17

• there is NO SOLUTION

• there are INFINITE SOLUTIONS

The taxi starts at 0 meters and travels at a speed of 9 meters per second.

The skateboard starts at 12 meters and travels at a speed of 4 meters per second.

Which equation below could be used to determine when their distances would be the same?

• 9t = 4t + 12

• 9t + 4t = 12

• 4t = 9t + 12

• 9t + 12 = 4t

The skateboard starts at 9 meters and travels at a speed of 6 meters per second.

The scooter starts at 30 meters and travels at a speed of 6 meters per second.

Which equation below could be used to determine when their distances would be the same?

• 6t + 9 = 6t + 30

• 6t = 6t + 30

• 6t + 9 + 6t = 30

• 6t + 6t = 9 + 30

The skateboard can be represented by the expression 6t + 9.

The scooter can be represented by the expression 6t + 30

IF these same rates continued, when would the skateboard catch up to the scooter?

• the skateboard will never catch up to the scooter

• the skateboard and the scooter will always be at the same distance

• the skateboard will catch up to the scooter in 9 seconds

• the skateboard will catch up to the scooter in 21 seconds