Given the equation2x+1 = 3, solve for x and identify if it is an extraneous solution.

1)x = 4, solution is extraneous

2)x = 4, solution is not extraneous

3)x = 5, solution is extraneous

4)x = 5, solution is not extraneous

2) Given the equation 4x-3= 12, solve for x and identify if it is an extraneous solution.

1)x = 0, solution is not extraneous

2)x = 0, solution is extraneous

3)x = 12, solution is not extraneous

4)x = 12, solution is extraneous

3) Solve for x, given the equationx-5 + 7 = 11.

1)x = 21, solution is extraneous

2)x = 21, solution is not extraneous

3)x = 81, solution is extraneous

4)x = 81, solution is not extraneous

4) Israel started to solve a radical equation in this way:

x+6 4 = x

x+6 4+ 4= x+ 4

x+6= x + 4

(x+6)²=(x + 4)²

x + 6 = x²+ 8x + 16

x + 6- 6= x²+ 8x + 16- 6

x = x²+ 8x + 10

x- x= x²+ 8x + 10- x

0 = x²+ 7x + 10

0 =(x + 2)(x + 5)

x + 2 = 0x + 5 = 0

x + 2- 2= 0- 2x + 5- 5= 0- 5

x = -2x = -5

Solutions = -2, -5

What error did Israel make?

1)He subtracted 6 before subtracting x.

2)He added 4 before squaring both sides.

3)He factored x²+ 7x + 10 incorrectly.

4)He did not check for extraneous solutions.

5) Violet was carrying around the steps to solve= 4. On her way through the Math Factory, Violet dropped them and they mixed with other steps. Put the correct steps in order to solve= 4.

First C, then E, then A= 4. On her way through the Math Factory, Violet dropped them and they mixed with other steps. Put the correct steps in order to solve= 4.

A. Subtract 1 from both sides

B. Subtract 4 from both sides

C. Square root both sides

D. Square both sides

E. Divide by 3 from both sides

F. Divide by 4 from both sides

1)First A, then E, then D

2)First D, then B, then A

3)First D, then A, then E

4)First C, then E, then A