Reviewing Equivalent Equations and Solutions

Can you conclude the two equations are equivalent?

5.2w + 4 = 6

15.6w + 12 = 18

• yes

• no

What valid move was made to the 1st equation to create the 2nd equation?

5.2w + 4 = 6

15.6w + 12 = 18

• added 3 to both sides

• divided both sides by 3

• multiplied both sides by 3

• added 12 to each side

What valid move was made the the 1st equation to get the 2nd equation?

12 - 3y = 2y + 6

12 - 3y + 5 = 2y + 6 + 5

• subtracted 5 from both sides

• combined like terms

• distributed

• added 5 to both sides

What valid move was made the the 1st equation to get the 2nd equation?

12 - 3y = 2y + 6

17 - 3y = 2y + 11

• subtracted 5 from both sides

• added 5 to both sides

• no valid move was made

• multiplied both sides by 5

Select all of the following equations that are equivalent to

3c - 5 = 2c + 8

• 3c - 5 = 2(c + 4)

• 6c - 10 = 2c + 8

• 6c - 10 = 4c + 16

• 3c = 2c + 13

• 3c + 2c = -5 + 8

Are the two equations equivalent?

8w - 10 = 7w + 6

-10 + 8w = 7w + 6

• yes

• no

Find the error/bad move in the following problem.

3x + 5 + 2x = 25

Step 1: 5x + 5 = 25 combined like terms

Step 2: 5x = 30 added 5 to both sides

Step 3: x = 6 divided both sides by 5

• Step 1

• Step 2

• Step 3

Find the error/bad move in the following problem.

3x + 5 + 2x = 25

Step 1: 5x + 5 = 25 combined like terms

Step 2: 5x = 30 added 5 to both sides

Step 3: x = 6 divided both sides by 5

• Step 2

  should have subtracted 5x

• Step 2

  should have subtracted 5

• Step 2

  should have subtracted 25

What is the next valid move in solving the equation for y?

4x + 2y = 8

Step 1: 2y = -4x + 8

Step 2: ______

• subtract 2 from y and 2 from the other side

• subtract 8 from both sides

• divide both sides by 2

What is the correct equivalent equation after step 2?

4x + 2y = 8

Step 1: 2y = -4x + 8

Step 2: 2y/2 = -4/2x + 8/2

• y = -2x + 4

• y = 2x + 4

• y = -2x +6