Mastering Multi-Step Equations with Variables on Both Sides

This video tutorial by Miss Pollard covers solving multi-step equations, emphasizing the importance of understanding one-step and two-step equations. It includes examples of solving equations with distribution, variables on both sides, and fractions. The tutorial also addresses special cases like infinite solutions and no solutions, providing a comprehensive guide to tackling complex equations.

Why is it important to understand one and two-step equations before tackling multi-step equations?

• Because they are easier to solve.

• Because multi-step equations often reduce to one or two-step equations.

• Because they are more fun.

• Because they are not related at all.

What is the first step in solving the equation -6 + 5 = B/12?

• Subtract 5 from both sides.

• Add 5 to both sides.

• Multiply both sides by 12.

• Divide both sides by 12.

After adding 5 to both sides of the equation -6 + 5 = B/12, what is the resulting equation?

• -11 = B/12

• 11 = B/12

• 1 = B/12

• -1 = B/12

In the equation 24 = 5x + 4, what is the next step after moving the constant term?

• Add 4 to both sides.

• Divide both sides by 5.

• Subtract 4 from both sides.

• Multiply both sides by 5.

What is the solution to the equation 24 - 4 = 5x?

• x = 7

• x = 4

• x = 5

• x = 6

When solving the equation with distribution on both sides, what should you do after distributing the negative sign?

• Combine like terms.

• Move the constants to one side.

• Move the variables to one side.

• Divide both sides by the coefficient.

In the equation 16p - 18 = -2, what is the next step after combining like terms?

• Add 18 to both sides.

• Subtract 18 from both sides.

• Divide both sides by 16.

• Multiply both sides by 16.

What is the solution to the equation 16p = 16?

• p = 2

• p = 1

• p = 3

• p = 0

How do you handle fractions in a multi-step equation?

• Ignore them.

• Multiply everything by the largest denominator.

• Divide everything by the smallest denominator.

• Add the fractions together.

What does it mean if you end up with an equation like 12 = 12 after solving?

• No solution.

• Two solutions.

• Infinite solutions.

• One solution.