Understanding Two-Step Equations

Charlie introduces two-step equations with the distributive property, explaining how to multiply terms inside and outside parentheses. A sample equation is set up, and the process of distributing and simplifying is demonstrated. The video concludes with final steps and highlights common mistakes to avoid.

What is the main focus of the video tutorial?

• Understanding two-step equations with the distributive property

• Exploring polynomial functions

• Solving quadratic equations

• Learning about linear equations

What does the distributive property help with?

• Adding numbers

• Dividing fractions

• Multiplying terms inside and outside parentheses

• Subtracting integers

What is the sample equation introduced in the video?

• x^2 + 4x + 4

• 5x − 7 = 3

• 3x(−2 − x) + 10

• 2x + 3 = 5

What is the purpose of the sample equation in the video?

• To explain addition of fractions

• To demonstrate solving quadratic equations

• To reinforce rules of the distributive property

• To show how to graph equations

What is the first step in distributing terms in the equation 3x(−2 − x) + 10?

• Divide by 3

• Add 10 to both sides

• Subtract x from both sides

• Multiply 3x by −2

What is the result of multiplying 3x by −2?

• −3x

• 3x

• −6x

• 6x

What is the result of 3x times −x?

• −3x^2

• 3x

• −3x

• 3x^2

After distributing, what is the next step in simplifying the equation?

• Subtract 10 from both sides

• Combine like terms

• Add 10 to both sides

• Divide by 3

What do you get when you combine −6x and −3x?

• 3x

• −3x

• 9x

• −9x

What is added back to the equation after distributing and combining like terms?

• 20

• 5

• 15

• 10