Equations with Variables on Both Sides Hanger Diagrams

Solve for x:
4(1-x) + 3x = -2(x+1)

• x = -6

• x = 6

• x = 3

Where is the first mistake?

• Distribution of the 5

• Distribution of the 10

• subtracting 60x from both sides

• dividing by -50

Solve the equation:
-8x - 8 + 3(x-2) = -3x + 2

• x = -8

• x = 8

• x = 2

• x = -2

Where is the first mistake?

• Subtracting 3 on both sides

• Distributing the 9

• Subtracting 9x on both sides

• Inequality error

Which of the following matches the hanger diagram?

• 2(x+3y) + 2z = 2z+ 4 + 2y

• 2y = x

• 2(x+3y)= 4x + 2y

• x + 3y = 2x + y

What equation represents this hanger diagram?

• 2z + 3 = 5

• 2x + 3 = 5

• 5 = 3 - 2w

• 31y + 10 = 2

Which of the following matches the hanger diagram?

• 2(x+3y) + 2z = 2z+ 4 + 2y

• 2y = x

• 2(x+3y)= 4x + 2y

• x + 3y = 2x + y

What equation represents this hanger diagram?

• 2y + 10 = 31

• 2w + 10 = 31

• 2e + 10 = 31

• 2m + 10 = 31

What equation is represented in this hanger diagram?

• 14 = 2x + 3

• 14 = 2x + 6

• 14 = 2x -3

• 14 = 2x - 6

• 14=2(x+3)

Which of the following matches the hanger diagram?

• 2(x+3y) + 2z = 2z+ 4 + 2y

• 2y = x

• 2(x+3y)= 4x + 2y

• x + 3y = 2x + y