Title: Solving Two Step Equations
Course: quiz duplicate error

Q: Solve the equation. Check your solution.

 9 – [Image]= 17
- x = -11 (incorrect)
- x = 80 (incorrect)
- x = -24 (correct)
- x = 24 (I recommend changing subtraction to adding the opposite so you don't lose negative signs.)
A: x = -24

Q: Solve the equation.

6r + 6 = 66
- 54 (incorrect)
- 5 (incorrect)
- 58 (incorrect)
- 10 (correct)
A: 10

Q: Solve the equation. Check your solution.

9n - 8 = 46
- n = 49 (incorrect)
- n = 6 (correct)
- n = 13 (incorrect)
- n = 45 (incorrect)
A: n = 6

Q: Solve the equation.

40 = 6x + 4
- 30 (incorrect)
- 34 (incorrect)
- 6 (correct)
- 2 (incorrect)
A: 6

Q: Solve the equation.

[Image]a - [Image] = -4
- 15 (incorrect)
- -17 (incorrect)
- -15 (correct)
- 17 (incorrect)
A: -15

Q: Solve the equation. Check your solution.

[Image]f - 3 = 1
- f = 20 (correct)
- f = -10 (incorrect)
- f = -20 (incorrect)
- f = 10 (incorrect)
A: f = 20

Q: Solve the equation. Check your solution.

 -4 – [Image]  = 12
- x = 32 (You should add 4 to both sides first.)
- x = -32 (You should add 4 to both sides first.)
- x = -64 (Correct)
- x = 64 (You may have lost the negative in front of the x/4)
A: x = -64

Q: Solve the equation. Check your solution

44 = 2 – 6r
- r = 36 (incorrect)
- r = -7 (correct)
- r = -40 (incorrect)
- r = -5 (incorrect)
A: r = -7

Q: Solve the equation.

5n - 7 = 33
- 35 (incorrect)
- 8 (correct)
- 13 (incorrect)
- 39 (incorrect)
A: 8

Q: Solve the equation. Check your solution.

-87 = 10x - 7
- x = -90 (incorrect)
- x = -86 (incorrect)
- x = 1 (incorrect)
- x = -8 (correct)
A: x = -8

Q: Solve the equation.

3t + 13 = 16
- t = 0 (incorrect)
- t = 1 (correct)
- t = [Image] (incorrect)
- t = 3 (incorrect)
A: t = 1

Q: Solve the equation.

12 = 5y + 17
- y = 1 (incorrect)
- y = 5 (incorrect)
- y = 0 (incorrect)
- y = [Image] (correct)
A: y = [Image]

Q: Solve the equation.

17r + 28 = 28
- r = 1 (incorrect)
- r = 0 (correct)
- r = [Image] (incorrect)
- r = 2 (incorrect)
A: r = 0

Q: Solve the equation.

2k + 6 = 0
- k = [Image] (incorrect)
- k = 3 (incorrect)
- k = [Image] (correct)
- k = 2 (incorrect)
A: k = [Image]

Q: Solve the equation.

[Image]a - [Image] = -6
- -23 (correct)
- -25 (incorrect)
- 25 (incorrect)
- 23 (incorrect)
A: -23

Q: Solve the equation. Check your solution.

[Image]f - 4 = 1
- f = -9 (incorrect)
- f = -15 (incorrect)
- f = 15 (correct)
- f = 9 (incorrect)
A: f = 15

Q: Simplify where possible. Then solve the equation.

2t = [Image] + 13
- t = 2 (correct)
- t = [Image] (incorrect)
- t = [Image] (incorrect)
- t = 11 (incorrect)
A: t = 2

Q: Simplify where possible. Then solve the equation.

-4 = 5y - y
- y = -4 (incorrect)
- y = -1 (correct)
- y = -6 (incorrect)
- y = 1 (incorrect)
A: y = -1

Q: Simplify where possible. Then solve the equation.

17 - 5 = 4r
- r = -3 (Incorrect. The 12 is positive.)
- r = 3 (correct)
- r = -6 (incorrect)
- r = 0 (incorrect)
A: r = 3

Q: Solve the given equation.

15 = e - 6
- e = [Image] (incorrect)
- e = 9 (incorrect)
- e = 21 (correct)
- e = [Image] (incorrect)
A: e = 21

Q: Solve the given equation.

[Image] + h = 13
- h = ^-20 (incorrect)
- h = -_6 (incorrect)
- h = ^6 (incorrect)
- h = 20 (correct)
A: h = 20

Q: Solve the given equation.

y - 8 = 0
- y = 16 (incorrect)
- y = [Image] (incorrect)
- y = 8 (correct)
- y = 0 (incorrect)
A: y = 8

Q: Solve the given equation.

m - 4 = [Image]
- m = 19 (incorrect)
- m = 27 (incorrect)
- m = [Image] (incorrect)
- m = [Image] (correct)
A: m = [Image]

Q: Solve the equation. Check your solution.

11 - p = 15
- p = 4 (There was a subtract in front of the p.)
- p = 26 (The subtract was in front of the p, not in front of the 11.)
- p = -4 (Correct)
- p = 6 (Incorrect.)
A: p = -4

Q: Solve the equation. Check your solution.

-9 – w = 2
- w = -11 (Correct)
- w = 11 (There was a negative in front of the w.)
- w = 7 (You need to add 11 to both sides.)
- w = -7 (You need to add 11 to both sides.)
A: w = -11

Q: Solve the equation. Check your solution.

-5 = 16 - y
- y = -21 (There was a negative in front of the y.)
- y = 21 (Correct)
- y = 11 (You need to subtract 16 or add -16 to both sides.)
- y = -11 (You need to subtract 16 or add -16 to both sides.)
A: y = 21

Q: Solve the equation. Check your solution.

-8 = 20 - y
- y = -28 (There was a negative in front of the y.)
- y = 28 (Correct)
- y = 12 (You need to subtract 20 or add -20 to both sides.)
- y = -12 (You need to subtract 20 or add -20 to both sides.)
A: y = 28

Q: Solve the equation. Check your solution

-10 = 2 – 4r
- r = 3 (Correct)
- r = -3 (Incorrect. There is a negative on the 4r.)
- r = -2 (incorrect)
- r = 2 (incorrect)
A: r = 3

Q: Solve the equation. Check your solution

-7 = 8 – 5w
- w = 3 (Correct)
- w = -3 (Incorrect. There is a negative on the 5w.)
- w = -1/5 (Incorrect. You need to subtract 8 from both sides.)
- w = 1/5 (Incorrect. You need to subtract 8 from both sides.)
A: w = 3

Q: Solve the equation. Check your solution.

-7 - y = -2
- y = 5 (There was a negative in front of the y.)
- y = -5 (Correct)
- y = 9 (You need to add 7 to both sides.)
- y = -9 (You need to add 7 to both sides.)
A: y = -5

Show the steps you use to solve the equation. Don't forget to simplify first!

3x - 2 + 5x = -26

Show the steps you use to solve the equation. Don't forget to simplify first!

10 - 3x + 5 + 2x = -8

Show the steps you use to solve the equation. Don't forget to simplify first!

3x - 5x = -1

Q: Simplify as much as possible. Then solve the equation.

3x - 4 + x = 40
- x = 12 (Incorrect. Add the x to the 3x first.)
- x = 22 (Incorrect. It is 3x + x)
- x = 11 (You got it!)
- x = 18 (Incorrect. Make sure you add 4 to both sides.)
A: x = 11

Q: Simplify as much as possible. Then solve the equation.

4 - 5x + 2 + x - 6 = -4
- x = 4/5 (Incorrect. Don't forget to add the x to the -5x.)
- x = -1 (Incorrect. Watch your negative signs!)
- x = 1 (You have some solving skills.)
- x = 16 (Incorrect. Make sure you subtract the 6 when simplifying.)
A: x = 1

Show the steps you use to solve:

6(m - 2) = 12

Show the steps you use to solve:

-3(x + 1) - 6 = 21

Show the steps you use to solve:

21 = -2(x + 1) - x + 5

Q: Solve:

5(2c + 7) - 5 = 80
- c = 5
- c = 9/2 (Don't forget the subtract 5 part)
- c = 7.8 (Make sure you distribute the multiply by 5 to the 2c and the 7.)
- c = 11 (You should subtract the 30 from both sides once you have simplified the left side.)
A: c = 5

Q: Solve:

2(n - 5) = -4
- n = 3
- n = -7 (You should add 10 to both sides after simplifying the left side.)
- n = 1/2 (Make sure you distribute the multiply by 2 to both the n and the -5)
- n = 12 (You get rid of multiplying by 2 by dividing by 2.)
A: n = 3

Q: Solve. Check your solution.

-12 = 3(4x - 5)
- x = 4 (Check your division!)
- x = 1/4
- x = -1/4 (Did you lose a negative?)
- x = -7/12 (Make sure you distribute the multiply by 3 to both the 4c and the -5)
A: x = 1/4

Q: Solve. Check your solution.

-3(g - 3) = 6
- g = -1 (Check your negative signs.)
- g = -3 (Make sure you distribute the multiply by -3 to both the g and the -3.)
- g = 1 (Well handled!)
- g = -15 (You need to subtract the 9 from both sides after you simplify the left side.)
A: g = 1

Error Checking: Tell what the student did wrong in solving the equation. Then give the correct solution.

[Image]

Error Checking: Tell what the student did wrong in solving the equation. Then give the correct solution.

3(2x + 1) + 4 = 10

[Image]

Error Checking: Tell what the student did wrong in solving this equation. Then give the correct solution.

3(2x - 4) = 8

[Image]

Show the steps you use to solve the equation. Don't forget to simplify first!

-18 = -4x – 6x + 2

Show the steps you use to solve the equation. Don't forget to simplify first!

-4(-6w – 3) = 12

Show the steps you use to solve the equation. Don't forget to simplify first!

6 = 1 - 2n + 5

Show the steps you use to solve the equation. Don't forget to simplify first!

2(4x – 3) – 8 = 2