Simplifying Expressions through Factoring Techniques

What is the purpose of factoring in algebra?

• To change the value of expressions

• To simplify expressions while maintaining their value

• To solve equations faster

• To make expressions more complex

What does GCF stand for?

• General Calculated Formula

• Greatest Common Factor

• Greatest Calculated Figure

• General Common Factor

How do you apply the GCF in factoring an expression like 10x + 5?

• Subtract the GCF from each term

• Add the GCF to each term

• Divide each term by the GCF and place it outside the parentheses

• Multiply each term by the GCF

What is the factored form of 10x + 25 using the GCF?

• 10(1x + 2.5)

• 25(0.4x + 1)

• 5(2x + 25)

• 5(2x + 5)

How do you verify the correctness of a factored expression?

• By using the distributive property to expand the expression

• By subtracting the terms inside the parentheses

• By adding the terms inside the parentheses

• By dividing the original expression

What is the GCF of 38x and 12?

• 19

• 12

• 6

• 2

What is the factored form of 38x - 12 using the GCF?

• 12(3.17x - 1)

• 19(2x - 0.63)

• 6(6.33x - 2)

• 2(19x - 6)

What is the GCF of 15x and 14?

• 2

• 1

• 29

• 7

Why is it important to learn factoring by grouping in algebra?

• To understand calculus concepts

• To combine it with other algebraic techniques

• To simplify trigonometric identities

• To solve quadratic equations

What does factoring help you prepare for in future algebra courses?

• Linear equations

• Geometric transformations

• Complex number operations

• Factoring by grouping