Mastering Proportions: Solving for Variables

The video tutorial explains solving proportions by equating two quotients and using cross multiplication. It demonstrates the process with an example, applying the distributive property to simplify expressions. The tutorial then guides through solving linear equations with variables on both sides, emphasizing the importance of maintaining equality. Finally, it concludes by finding the value of the variable using division, ensuring a clear understanding of the solution process.

What does it mean when two quantities are in proportion?

• Their quotients are equal.

• Their sums are equal.

• Their product is equal.

• They are both equal to zero.

What method is used to determine if two quantities are in proportion?

• Cross multiplication

• Addition

• Subtraction

• Division

What is the first step in setting up the proportion equation?

• Subtracting the terms

• Dividing the terms

• Cross multiplying the terms

• Adding the terms

What is the result of 3 times 5k + 1?

• 15k + 3

• 15k - 3

• 15k + 1

• 15k - 1

What property is used to distribute 3 over 5k + 1?

• Associative property

• Commutative property

• Identity property

• Distributive property

What is the simplified form of 3 times (3k - 2)?

• 9k - 6

• 6k + 9

• 9k + 6

• 6k - 9

What is the next step after distributing the terms in the equation?

• Subtracting constants

• Isolating the variable

• Combining like terms

• Adding constants

What is the additive inverse of 15k?

• 15k

• -15k

• 1

• 0

What operation is used to isolate the variable k in the equation 15 = 3k?

• Addition

• Subtraction

• Multiplication

• Division

What is the value of k in the equation 15 = 3k?

• 5

• 3

• 15

• 45