Solving Equations Using the Distributive Property

Mrs. Angel introduces solving equations using the distributive property with positive numbers. The lesson covers simplifying expressions and solving equations using two methods: applying the distributive property first and using properties of equality only. Students are encouraged to practice both methods and choose their preferred approach. The lesson concludes with a practice exercise and a summary of key points.

What is the main focus of this lesson?

• Graphing linear equations

• Combining like terms

• Using the distributive property with positive numbers

• Solving quadratic equations

What does the distributive property state?

• Divide everything inside the group by what's outside

• Multiply everything inside the group by what's outside

• Add everything inside the group

• Subtract everything inside the group

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

• 4x + 20

• 4x - 5

• 4x - 20

• 4x + 5

What is the simplified form of 5(2x + 1)?

• 10x + 1

• 10x + 5

• 2x + 5

• 10x - 5

Which property is used to make a zero term in the equation 4x - 20 = 12?

• Multiplication property of equality

• Subtraction property of equality

• Division property of equality

• Addition property of equality

What is the next step after applying the distributive property in the equation 4(x - 5) = 12?

• Multiply both sides by 4

• Divide both sides by 4

• Add 20 to both sides

• Subtract 5 from both sides

In method two, what is the first step to solve 4(x - 5) = 12?

• Subtract 5 from both sides

• Divide both sides by 4

• Add 5 to both sides

• Apply the distributive property

What is the simplified form of the equation after dividing both sides by 4 in method two?

• 4x = 3

• x - 5 = 12

• 4x - 5 = 3

• x - 5 = 3

What is the final value of x in the equation 4(x - 5) = 12 using either method?

• x = 5

• x = 3

• x = 1

• x = 8

What is the solution to the practice problem given at the end of the lesson?

• x = 3

• x = 4

• x = 2

• x = 1