Multi Step Equations and Literal Equations

How many solutions does this equation have?

16 - 3(x - 7) = 23 + 4x

• one solution

• no solution

• infinitely many solutions

• two solutions

Which set of steps can you use to isolate y in the equation?

• IN THIS ORDER:

  Divide both sides by 7.

• IN THIS ORDER:

  Subtract 2x on both sides.

  Divide both sides by 7.

• IN THIS ORDER:

  Subtract 7y on both sides.

  Divide by 2 on both sides.

Which equation below has NO SOLUTION?

• 12x - 6 = -6 + 12x

• 2.5x - 8 = -8

• 5x + 13 = -7 + 5x

• All of these have a solution

Which equation below has INFINITE SOLUTIONS?

• 12x - 6 = -6 + 12x

• 2.5x - 4 = -4

• 2x + 13 = 13x + 2

• All of these have no solution

If g + h = rs, which TWO equations are also TRUE?

• r = (g + h)/s

• g = rs - h

• r + s = gh

• g - h = r/s

Solve the formula for y. What is the 1st step?

• Subtract B from each side.

• Divide each side by Ax.

• Divide each side by B.

• Subtract Ax from each side.

• 4w-10
• -2w+10
• 2w-10
• -4w + 10

−5(1 + 2x) − 8x = −6(x + 7) + 1

• x = 33

• x = 3

• x = -33

• x = -3.3

−(6x − 5) + 1 = −6(5 + 3x)

• x = -3

• x = 33

• x = -3.3

• x = -33

3(2x + 6) + 7x = 8 + 8(4x + 6)

• x = 22

• x = -22

• x = -2.2

• x = -2