Solving Linear Equations Multi-Step

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.

3x - 7 = 3(x - 3) + 2

• one

• no solutions

• infinite solutions

Solve for c by clearing the fractions.

• 1/3

• 2/3

• 1

• 2

What do you multiply each term of an equation by to clear fractions?

• The greatest common factor

• The least common denominator

• whatever number you want

• zero

What should you do next after finding the LCD?

• Move all the constants to one side.

• Move all the variables to one side.

• Multiply the LCD to all the variables

• Multiply the LCD to every term of the equation.

What is the first step to solve this equation?

• Move all the variables to one side.

• Move all the constants to one side.

• Find the least common denominator.

• Plug in a number for X.

When solving this equation by clearing the fractions, what number would you multiply each term in the equation by?

• 3

• 4

• 12

• 15

Solve the equation by first clearing fractions:
\[\frac{8}{1}x + \frac{4}{1} = \frac{8}{5}\]

• x = 1/8

• x = 4

• x = 3

• solution not listed

You solve an equation and find that 7 = 9 in your final step. What does this mean?

• The equation has 1 solution.

• The equation has no solution.

• The equation has infinitely many solutions.

• The equation is an identity.

You solve an equation and find that 7 = 7 in your final step. What does this mean?

• The equation has 1 solution.

• The equation has no solution.

• The equation has infinitely many solutions.

• The equation is an identity.

3(x-8)=3x-24

• No Solution

• x=3

• Infinite Solutions