Solving Equations Multi-Step Equations

Identify if this equation has one solution, infinitely many solutions or no solution.
-3x+1=x+9-4x

• one solution

• infinitely many

• no solution

5(x - 3) + 2x = 27

• 3

• 42/15

• 30/7

• 6

Solve the equation:
^x/₃+ 10 = 15

• 75

• 15

• 25

• 5

4(-8x + 5) = -32x - 26

• 54

• -54

• all real numbers

• no solution

4x - 9x + 3 = -32

• -35/13

• 7

• -7

• -29/5

Which is the correct order in which to solve multi-step equations?

• Distribute

  Combine like terms

  Get the variable on one side by add or subtracting

  Divide or multiple

• Add or subtracting

  Distribute

  Combine like terms

  Divide or multiple

• Divide or multiple

  Add or subtracting

  Distribute

  Combine like terms

-19 = -8 (-4+a) - (2a+1)

• -1

• 14

• -5

• 5

Solve

-124 = 4 (1+ 8k)

• -11

• 10

• -4

• -2

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

• infinite solutions

• x = 1

• x = -1

• no solution

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

What is the solution to the equation?

• 4

• 3

• 2

• 1