Distributive Property and Factoring Expressions

Simplify the expression using the Distributive Property: @@7(5x - 1)@@

• @@35x - 7@@

• @@30x - 7@@

• @@35x + 7@@

• @@7x - 5@@

What is factoring in mathematics?

• Factoring is the process of breaking down an expression into simpler components that when multiplied together give the original expression.

• Factoring is the method of adding numbers to achieve a sum.

• Factoring involves finding the square root of a number.

• Factoring is the process of converting fractions into decimals.

How do you factor the expression @@x^2 + 5x + 6@@?

• @@ (x + 1)(x + 6) @@

• @@ (x + 2)(x + 3) @@

• @@ (x + 3)(x + 2) @@

• @@ (x + 2)(x + 4) @@

What is the first step in using the Distributive Property?

• To add the terms inside the parentheses together.

• To multiply the term outside the parentheses by each term inside the parentheses.

• To divide the terms inside the parentheses by the term outside.

• To subtract the term outside the parentheses from each term inside.

Simplify the expression by applying the Distributive Property: @@3(2c - 5)@@

• @@6c - 15@@

• @@5c - 12@@

• @@6c + 15@@

• @@3c - 5@@

What is the Distributive Property?

• The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

• The Distributive Property states that a + (b + c) = (a + b) + c, allowing for the addition of multiple terms.

• The Distributive Property states that a(b - c) = ab - ac, which is used for subtraction within parentheses.

• The Distributive Property states that a(b + c) = a + b + c, simplifying the expression by removing parentheses.

What does GCF stand for in factoring expressions?

• Greatest Common Factor

• General Common Factor

• Greatest Common Fraction

• Generalized Common Factor

What is the relationship between the Distributive Property and factoring?

• The Distributive Property is used to expand expressions, while factoring is used to reverse that process by finding common factors.

• The Distributive Property and factoring are unrelated concepts in mathematics.

• Factoring is used to expand expressions, while the Distributive Property is used to simplify them.

• The Distributive Property is only applicable to addition, while factoring applies to multiplication.

What is the result of @@5(2y + 3)@@?

• @@10y + 15@@

• @@5y + 15@@

• @@10y + 10@@

• @@2y + 3@@