Intermediate Algebra: Distributive Property Quiz

What is the main focus of this tutorial?

• Solving quadratic equations

• Simplifying variable expressions using the distributive property

• Graphing linear equations

• Factoring polynomials

According to the distributive property, how would you simplify a(b + c)?

• a(bc)

• a + b + c

• a + bc

• ab + ac

In the first example, what is the simplified form of -3(5y + 3x)?

• -15y - 9x

• -5y - 9x

• -15y + 9x

• -5y + 9x

What is the result of multiplying -3 by 5y in the first example?

• -15y

• -5y

• 15y

• 5y

How does adding a negative number affect the expression?

• It is the same as adding a positive number

• It is the same as subtracting a positive number

• It has no effect

• It doubles the value

What does the extended distributive property allow you to do?

• Distribute a number into terms with different coefficients

• Distribute a number into only two terms

• Distribute a number into any number of terms within the same grouping

• Distribute a number into terms with different variables

In the second example, what is the simplified form of -2(5x + 3y - 4)?

• -10x - 6y + 8

• -10x + 6y - 8

• -10x + 6y + 8

• -10x - 6y - 8

What is the result of multiplying -2 by 3y in the second example?

• 3y

• -3y

• 6y

• -6y

What happens when you subtract a negative number?

• It has no effect

• It is the same as subtracting a positive number

• It is the same as adding a positive number

• It doubles the value

What is the final simplified expression in the second example?

• -10x - 6y - 8

• -10x + 6y - 8

• -10x - 6y + 8

• -10x + 6y + 8