Multi-Step Equations in One Variable

Solve the equation:

8v - 4(v + 8) = 8

• 2

• 10

• 4

• -4

Solve the equations:

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

• 4

• 3

• 2

• 1

Solve the equation:
3(x - 1) = 2x + 9

• x = 12
• no solution
• x = 10
• x = 6

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

• infinite solutions
• x = 1
• x = -1
• no solution

Solve the equation:
½ (2x + 6) = 3x + 13

• no solution
• x = 8
• x = -5
• x = 7

Which of the equations has no solution?

• 2x + 1 = 5x - 3
• 2(x - 7) = 2x-14
• 3(2x+1) = 6x+1
• 15x - 30 = 0

Solve the equation:
4 - 6x - 2= -2(3x-1)

• no solution
• infinitely many solutions
• x = ⅓
• x = 4

Solve the equation:

3x + 15 = 3(x + 5)

• No Solution

• x = 15

• Infinitely Many Solutions

What is the definition of infinite solutions?

• no matter what constant is substituted in for the variable, the equation is ALWAYS true
• no matter what constant is substituted in for the variable, the equation will NEVER be true
• only this ONE solution will make the equation true

What is the definition of no solution?

• no matter what constant is substituted in for the variable, the equation is ALWAYS true
• no matter what constant is substituted in for the variable, the equation will NEVER be true
• only this ONE solution will make the equation true