Determining the Number of Solutions to an Equation

-2(x - 5) = 12 - 3x

• No Solution

• Infinitely Many Solutions

• x = 5

• x = 2

2(4x - 1) = 3(x + 2)

• No Solution

• Infinitely Many Solutions

• x = .63

• x = 1.6

4x - 9 = 3.5x - 9

• No Solution

• Infinitely Many Solutions

• x = 0

• x = 0.5

5.5 - x = -4.5 - x  

• No Solution

• Infinitely Many Solutions

• x = 5

• x = -0.5

2x + 4 = - (-7x + 6)

• No Solution

• Infinitely Many Solutions

• x = 2

• x = 5

A choice matrix is shown. Complete the choice matrix by determining the number of solutions the equation has. For the equation 2(4r - 6) + 10r = 5r - 4 + 13r - 2, how many solutions does it have?

• Infinitely Many

• No Solution

• One Solution

A choice matrix is shown. Complete the choice matrix by determining the number of solutions the equation has. For the equation 1/4(8r - 12) = -2 + 2r - 1, how many solutions does it have?

• Infinitely Many

• No Solution

• One Solution

A choice matrix is shown. Complete the choice matrix by determining the number of solutions the equation has. For the equation 3r - 7 + 9r = 4r - 7 + 3r, how many solutions does it have?

• Infinitely Many

• No Solution

• One Solution

A choice matrix is shown. Complete the choice matrix by determining the number of solutions the equation has. For the equation 2t - 3(t - 6) = -2t + 8 - 3t, how many solutions does it have?

• Infinitely Many

• No Solution

• One Solution

Consider the equations given. Which equations have no solution? Select ALL that apply.

• 2x + x + 8 = 3x - 2

• 4(x - 1) + x = 5x - 4 - x

• 7x + 12 = (x + 3) + (x + 4)

• x + 2(4 - x) = 2x + 6 - 3x

• 3 - (x + 2) = 2x + 3