Multi-Step Equations All Solutions

The goal of solving a one, two, or multi-step equations is to:

• Find the constant

• Find the coefficient

• Find the value of the variable

• Guess and check

How many solutions does this equation have?

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

• one solution

• no solution

• infinitely many solutions

• two solutions

Joseph, Ben, and Peyton solved the same equation but got different answers. Who is correct?

• Joseph

• Ben

• Peyton

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

• IN THIS ORDER:

  Divide both sides by 7.

  Subtract 2x on both sides.

• 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 INFINITE SOLUTIONS?

• 12x - 6 = -6 + 12x

• 2.5x - 4 = -4

• 2x + 13 = 13x + 2

• All of these have no solution

3(x-6)+2x=22

• x=8

• x=2

• x=18

• x=3

26 = 5a + 1

• a= 5 ⁴∕₅

• a= no solution

• a= 0

• a= 5

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

• infinite solutions

• x = 1

• x = -1

• no solution

How many solutions does the equation have
3x + 7 + 2x = 5x + 7

• One Solution

• No Solution

• Infinite Solutions

6(6v +6) - 5 = 1 + 6v

• 1

• -1

• no solution

• all real numbers