Distributive Property and Equation Solving

The video tutorial covers the distributive property in equations, demonstrating how to solve equations by distributing numbers outside parentheses to terms inside. It explains combining like terms, handling zero in equations, and distributing fractions. The tutorial includes step-by-step examples, emphasizing the importance of following mathematical procedures to reach correct solutions.

What does the distributive property allow you to do with a number outside the parentheses?

• Add it to each term inside the parentheses

• Divide it by each term inside the parentheses

• Subtract it from each term inside the parentheses

• Multiply it by each term inside the parentheses

In the equation 6(x + 3) = 48, what is the first step to solve for x?

• Divide 48 by 6

• Subtract 6 from both sides

• Multiply 6 by x and 3

• Add 3 to both sides

When solving 4(5 - x) = 8, what is the result of distributing the 4?

• 20 - 4x

• 4x + 20

• 4x - 20

• 5x - 4

What is the purpose of combining like terms in an equation?

• To add fractions

• To multiply terms

• To eliminate variables

• To simplify the equation

In the equation 7(x + 2) + 3 = 73, what should you do after distributing the 7?

• Combine the 14 and 3

• Add 3 to both sides

• Divide by 7

• Subtract 3 from both sides

How do you handle a fraction in the distributive property, such as 1/2(4x - 8)?

• Multiply the fraction by the entire equation

• Divide each term by the denominator

• Add the fraction to each term

• Multiply each term by the numerator and divide by the denominator

What is the result of distributing 1/3 in the expression 1/3(6x + 9)?

• 2x + 3

• 3x + 6

• 6x + 9

• 2x + 9

When solving equations with fractions, what is a common first step?

• Divide all terms by the numerator

• Subtract the numerator from each term

• Add all fractions together

• Multiply all terms by the denominator

In the equation 3/4(x - 13) = -2(9 + x), what is the first step to clear the fractions?

• Subtract 9 from both sides

• Add 13 to both sides

• Multiply by 4

• Multiply by 3

What is the solution to the equation 3/4(x - 13) = -2(9 + x) when x is replaced with -3?

• Both sides equal -12

• Both sides equal -3

• Both sides equal 12

• Both sides equal 0