Factoring Linear Expressions

What does GCF stand for?

• Greatest Common Factor

• Greatest Common Fraction

• Generalized Common Factor

• Greatest Common Function

How do you factor the expression 4x^2 - 12x?

• 4x(x - 3)

• 2x(2x - 6)

• 4(x^2 - 3)

• (2x - 6)(2x + 2)

What is the factored form of the expression 2x^2 + 8x?

• 2x(x + 4)

• 2(x^2 + 4x)

• x(2x + 8)

• (2x + 4)(x + 2)

What is the result of factoring the expression 9x + 12?

• 3(3x + 4)

• 3(3x + 5)

• 3(2x + 6)

• 9(x + 1)

Define 'factors' in mathematics.

• Factors are two or more numbers that are multiplied together to equal a certain number.

• Factors are the results of dividing a number by another number.

• Factors are the numbers that can be added together to form a sum.

• Factors are the prime numbers that make up a composite number.

What is the factored form of the expression 5x + 6?

• 5(x + 1.2)

• 5(x + 6/5)

• Cannot be factored no GCF.

• (5x + 6)(1)

What does it mean to distribute in mathematics?

• To add a single term to each term inside a set of parentheses.

• To multiply a single term by each term inside a set of parentheses.

• To divide a single term by each term inside a set of parentheses.

• To subtract a single term from each term inside a set of parentheses.

What is the relationship between factoring and solving equations?

• Factoring is often used to simplify equations to make solving easier.

• Factoring is a method to find the roots of an equation without solving it.

• Factoring is only applicable to quadratic equations and not to linear equations.

• Factoring is a technique used to complicate equations for advanced studies.

What is the opposite of factoring an expression?

• Distributing

• Combining like terms

• Simplifying

• Expanding

What is the purpose of factoring expressions?

• To make expressions more complex

• To simplify expressions and make it easier to solve equations.

• To eliminate variables from equations

• To convert expressions into decimals.