Quiz about Systems/Equations

Question 1

Look at the equation below:

$$3x\ +\ 5\ =\ 3x\ +\ 8$$

Why would the equation have "NO SOLUTION" ?

Accepted Answer

the variables will all cancel out

the remaining numbers are not equal

Answer

the variables will all cancel out

the remaining numbers are equal

Answer

this equation actually has one solution

Answer

this equation actually has INFINITE SOLUTIONS

Question 2

Look at the equation below:

$$3\ +\ 3x\ +\ 5\ =\ 3x\ +\ 8$$

Why would the equation have "NO SOLUTION" ?

Accepted Answer

this equation actually has INFINITE SOLUTIONS

Answer

the variables will all cancel out

the remaining numbers are not equal

Answer

the solution would actually be x = 8

Answer

this equation actually has one solution

Question 3

The table shows the total pay of two jobs over time.

If these same rates continue, how many hours will it take for Job B to earn the same amount of money as Job A?

Accepted Answer

Job B will NEVER have the same amount of money as Job A

Answer

Job B and Job A will have the same amount of money at 14 hours

Answer

Job B and Job A will have the same amount of money at 5 hours

Answer

Job B and Job A will ALWAYS have the same amount of money

Question 4

Which equation below would help you determine the number of hours when both jobs would pay the same amount?

Accepted Answer

20h + 100 = 20h + 50

Answer

20 + 100 = 20 + 50

Answer

20h = 20h

Answer

100 = 50

Question 5

Which equation below would help you determine the number of rides when both carnivals would cost the same amount?

Accepted Answer

2r + 5 = 25

Answer

5 + 2r = 25r

Answer

2r = 25r

Answer

2 + 5r = 25

Question 6

Which carnival would be cheapest if you got on 8 rides?

Accepted Answer

A

Answer

B

Answer

both A and B would be the same cost

Answer

A and B will always cost the same

Question 7

At what number of rides would both carnivals cost the same?

Accepted Answer

10 rides

Answer

13 rides

Answer

both A and B would always be the same cost

Answer

A and B will never cost the same

Question 8

Which carnival would be cheapest if you got on 12 rides?

Accepted Answer

B

Answer

A

Answer

both A and B would be the same cost

Answer

A and B will always cost the same

Question 9

Which phone plan costs more at the beginning?

Accepted Answer

Verizon

Answer

Sprint

Answer

both cost the same at all times

Answer

it is impossible to determine which costs more

Question 10

Which phone plan costs more per month?

Accepted Answer

Sprint

Answer

Verizon

Answer

both cost the same at all times

Answer

it is impossible to determine which costs more

Question 11

Which equation would help you determine when the two plans would cost the same over the months (m)?

Accepted Answer

1000 + 30m = 800 + 40m

Answer

1000m = 800m

Answer

1000m + 30 = 800m + 40

Answer

30 = 40

Question 12

Which expression best describes the distance of the scooter (green vehicle on the right) over time "t"?

Accepted Answer

6t + 30

Answer

6 + 30

Answer

30t + 6

Answer

6t + 30t

Question 13

If the two vehicles continue to move at the same rate, after how many seconds would they meet?

Accepted Answer

they would never meet

Answer

they will always be side by side at the same location

Answer

they will meet at 6 seconds

Answer

they will meet at 21 seconds

Question 14

Solve the equation for x in the following equation:

$$3x\ +\ 7\ =\ 2x\ +\ 9\ +\ x$$

Accepted Answer

there are no solutions to this equation

Answer

this equation could have infinite solutions

Answer

x = 0 and 2

Answer

x = 7 and 9

Question 15

Solve the equation for x in the following equation:

$$-3x\ +\ 7\ =\ -3x\ +\ 9\ -\ 2\ $$

Accepted Answer

this equation could have infinite solutions

Answer

there are no solutions to this equation

Answer

x = 7

Answer

x = 0

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