Understanding the Distributive Property

The video tutorial covers the basics of coefficients and terms in algebra, explaining how coefficients are numbers that multiply variables in a term. It also introduces the concept of terms, which can be single variables, constants, or products/quotients of variables and constants. The distributive property is explained with examples, showing how it applies to both numbers and variables. The video includes practice drills to reinforce these concepts, following the Saxon method to build proficiency and understanding.

What is the coefficient in the term 7xy?

• x

• xy

• 7

• y

In the expression 3ab, what is the role of '3'?

• Quotient

• Coefficient

• Constant

• Variable

Which of the following is a term?

• 5 + 3

• a/b + c

• x - y

• 7x

What is a constant in algebra?

• A fixed number

• A quotient of expressions

• A variable

• A product of variables

How many terms are in the expression 5x - 3y + 7?

• 3

• 4

• 1

• 2

What does the distributive property allow you to do?

• Subtract terms

• Divide terms

• Multiply a sum by distributing the multiplier

• Add terms

Which expression demonstrates the distributive property?

• a(b + c) = ab + ac

• a + b = b + a

• a(bc) = (ab)c

• a/b = b/a

What is the result of applying the distributive property to 3(x + 4)?

• 3x + 12

• 3x + 4x

• 3x + 4

• x + 12

If you distribute 5 over (2 + 3), what is the result?

• 2 + 3

• 5x + 15

• 10 + 15

• 5 + 3

What is the first step in using the distributive property for 4(a + b)?

• Add a and b

• Multiply 4 by a

• Multiply 4 by b

• Subtract a from b