Exploring Adding and Subtracting Rational Expressions

What does the commutative property of addition state?

• The order of terms does not affect the sum.

• The grouping of terms does not affect the sum.

• The order of factors does not affect the product.

• The grouping of factors does not affect the product.

Which of the following is an example of the commutative property of multiplication?

• a + (b + c) = (a + b) + c

• a * b = b * a

• a + b = b + a

• a * (b * c) = (a * b) * c

Rewrite the expression 15a + 7b using the commutative property of addition.

• 15b + 7a

• 7b + 15a

• 15a + 7b

• 7a + 15b

What does the associative property of addition state?

• The order of factors does not affect the product.

• The grouping of terms does not affect the sum.

• The order of terms does not affect the sum.

• The grouping of factors does not affect the product.

Which of the following is an example of the associative property of multiplication?

• a + b = b + a

• a + (b + c) = (a + b) + c

• a * (b * c) = (a * b) * c

• a * b = b * a

Rewrite the expression (2x + 1) + 4x using the associative property of addition.

• (2x + 1) + 4x

• 2x + (1 + 4x)

• 2x + 1 + 4x

• 4x + (2x + 1)

What does the distributive property state?

• A number outside the parentheses multiplies each term inside.

• The grouping of terms does not affect the sum.

• The order of terms does not affect the sum.

• The product of a number and its reciprocal is one.

Which of the following is an example of the distributive property?

• a(b + c) = ab + ac

• a * b = b * a

• a + (b + c) = (a + b) + c

• a + b = b + a

What does the identity property of addition state?

• The product of a number and one is the number itself.

• The product of a number and its reciprocal is one.

• The sum of a number and zero is the number itself.

• The sum of a number and its opposite is zero.

What does the inverse property of multiplication state?

• The sum of a number and zero is the number itself.

• The product of a number and its reciprocal is one.

• The product of a number and one is the number itself.

• The sum of a number and its opposite is zero.