Solving Equations Using Algebra

A plumber has a very long piece of pipe that is used to run city water parallel to a major roadway. The pipe is cut into two sections. One section of pipe is 12ft shorter than the other. If 3/4 of the length of the shorter pipe is 120ft, how long is the longer piece of the pipe?

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What do these Algebra Tiles represent?

• 2x = 8

• - 2x = - 8

• 3x = 12

• 5x = -8

What do these Algebra Tiles represent?

• 2x + 4 = 12

• 2x - 4 = 12

• -4x + 7 = -32

• -2x - 5 = 12

What do these Algebra Tiles represent?

• 4x + 4 = 19

• 5x - 4 = 17

• -4x + 7 = -23

• -4x + 3 = 15

What do these Algebra Tiles represent?

• -3x + 7 = 2x + 5

• 5x - 4 = 5x - 2

• -3x + 4 = 2x - 5

• 3x - 4 = 5x + 2

Find the value of x that makes the equation true:

5x + 2 = 7

• x = 1

• x = -1

• x = 2

• 5x = -5

What equation is modeled?  Solve the equation.

• 2x = -4    x = -2

• 2x = 4    x = 2

• 2x = 4    x = 8

Which equation does this set of algebra tiles represent?

• x+8=14

• x+9=14

• x+9=22

• x+8=22

Using the equation 2x = 8, what does x equal?

• 4

• 6

• 10

• 0.25

Using the equation x + 4 = 9, what does x equal?

• 13

• 5

• 36

• -5