Solving Equations Using the Distributive Property

Mrs. Angel teaches solving equations using the distributive property and properties of equality. The lesson covers two methods: applying the distributive property first and using properties of equality. It also explains handling negative numbers in distribution. Students are encouraged to practice both methods and choose their preferred approach.

What does the distributive property state?

• Divide everything inside the group by what's outside.

• Add everything inside the group to what's outside.

• Multiply everything inside the group by what's outside.

• Subtract everything inside the group from what's outside.

In the expression 4(x - 5), what is the result of applying the distributive property?

• 4x + 5

• 4x - 5

• 4x - 20

• 4x + 20

What is the first step in Method 1 for solving equations?

• Simplify the equation.

• Apply the distributive property.

• Check the solution.

• Apply the properties of equality.

In Method 1, after applying the distributive property, what type of equation do you get?

• A two-step equation

• A quadratic equation

• A complex equation

• A one-step equation

What is the first step in Method 2 for solving equations?

• Apply the distributive property.

• Use the division property of equality.

• Check the solution.

• Simplify the equation.

In Method 2, what do you do to both sides of the equation to simplify it?

• Subtract the same number.

• Multiply by the same number.

• Divide by the same number.

• Add the same number.

When distributing a negative number, what happens to the signs inside the parentheses?

• They all become positive.

• They all become negative.

• They stay the same.

• They change.

What is the result of distributing -4 in the expression -4(x - 5)?

• -4x + 20

• 4x + 20

• 4x - 20

• -4x - 20

In the practice problem, what is the solution to the equation?

• x = 0

• x = 1

• x = 2

• x = 3

What should you do after solving the practice problem using one method?

• Ask for help.

• Solve it again using a different method.

• Solve it again using the same method.

• Check the solution.