Solving Equations With Variables on Both Sides

Which of the options below would tell you that the equation would have NO SOLUTION?

• 6 = 7

• x = 0

• m = m

• 12 = 12

Tags

CCSS.8.EE.C.7A

Which of the following answers would tell you that the equation has INFINITE SOLUTIONS?

• -9 = -9

• k = 1000000000

• 3 = 8

• j = x

Tags

CCSS.8.EE.C.7A

What does it mean if an equation is an IDENTITY?

• Any number could be substituted into the original equation and you'll get the same number on both sides.

• It is impossible to solve.

• It has some form of identification. Like a diver's license or passport or something.

• You can take out the variables from the original equation and everything would work fine.

Tags

CCSS.8.EE.C.7A

3x - 1 = 1 - 3x

• x = 1/3

• x = 3

• no solution

• identity

Tags

CCSS.8.EE.C.7A

6(7x + 7) = 7(6x + 6)

• x = 42

• x = 1

• no solution

• infinite solutions

Tags

CCSS.8.EE.C.7A

4x - 9 = 3.5x - 9

• x = 0

• x = 1

• no solution

• identity

Tags

CCSS.8.EE.C.7A

5x - 7 = 4x - 1

• x = 6

• x = 3

• no solution

• identity

Tags

CCSS.8.EE.C.7A

5.5 - x = -4.5 - x

• x = 0

• x = -0

• no solution

• identity

Tags

CCSS.8.EE.C.7A

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. What equation represents this situation?

• 15 + 3h = 21 + h

• 15h + 3 = 21h + 1

• 15 - 3h = 21 - h

• 15h - 3 = 21h - 1

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

You should have picked

15 + 3h = 21 + h

Solve for h to find how many hours of boarding your pet would cause the cost of both places to be equal?

• 3 hours

• 2 hours

• no solution

• identity (infinite number of solutions)

Tags

CCSS.7.EE.B.4A