Equations With Variables on Both Sides Special Cases

Hello everyone! For this assignment, you MUST show all work in your notebook. I am going to be checking when I get back, and no work = no credit. If you showed your work, the grade you earn on this assignment will be put into the gradebook. You can redo this Quizizz as many times as you need to get a grade of 90 or above. Try your best & use the examples I left on the board to help you!

Do you have your notebook & a pencil?

• Yes! I'm ready to begin and show ALL work in my notebook!

• No, I didn't even read any of that and I want you to give me a 0 on this assignment.

What does it mean when an equation has one solution?

• the equation is always TRUE when any value is substituted in for the variable

• the equation will NEVER be true when any value is substituted in for the variable

• only ONE solution will make the equation true

What does it mean when an equation has infinitely many solutions?

• "To infinity and beyond"

• the equation is always TRUE when any value is substituted in for the variable

• the equation will NEVER be true when any value is substituted in for the variable

• only ONE solution will make the equation true

What does it mean when an equation has no solution?

• the equation will NEVER be true when any value is substituted in for the variable

• the equation is always TRUE when any value is substituted in for the variable

• only ONE solution will make the equation true

You solve an equation and have 7 = 9 in your final step. What does this mean?

• The equation has 1 solution.

• The equation has no solution.

• The equation has infinitely many solutions.

• The equation is an identity.

You solve an equation and have -3 = -3 in your final step. What does this mean?

• The equation has 1 solution.

• The equation has no solution.

• The equation has infinitely many solutions.

• The equation is an identity.

Solve:

2y − 3 = 2y − 3

• y = 0

• y = -3

• infinitely many solutions

• no solutions

Solve:

5x + 4 = 5x − 3

• x = 4

• x = -3

• infinitely many solutions

• no solutions

Solve:

4x + 1 = 8x − 3

• x = 1

• x = 2

• infinitely many solutions

• no solutions

Solve:

3(x − 2) = 3x − 6

• x = 6

• x = -6

• infinitely many solutions

• no solutions