Factoring Out Coefficients Made Simple | Math Defined with Mrs. C | 7.EE.A.1

The video tutorial explains how to factor out coefficients in algebraic expressions. It begins with an introduction to the concept of factoring, equating it to dividing out the coefficient. The tutorial provides step-by-step examples, starting with fractional coefficients like 1/3b - 1/3 and 1/2x + 3/2, and then moves on to expressions with integers such as 4h - 3 and 5/2k - 2. Each example demonstrates the process of dividing each term by the coefficient and simplifying the expression. The video concludes with a summary of the factoring process.

What does factoring out a coefficient in an algebraic expression involve?

• Multiplying the coefficient by the expression

• Dividing the coefficient out of the expression

• Adding the coefficient to the expression

• Subtracting the coefficient from the expression

When factoring out the coefficient 1/3 from the expression 1/3b - 1/3, what is the resulting expression?

• b - 1

• 1/3(b - 1)

• b + 1

• 1/3(b + 1)

How do you divide a fraction by another fraction?

• Divide the numerators and denominators separately

• Multiply by the reciprocal of the divisor

• Subtract the fractions

• Add the fractions

What is the result of factoring out the coefficient 4 from the expression 4H - 3?

• 4(H + 3/4)

• H + 3/4

• 4(H - 3/4)

• H - 3/4

In the expression 5/2K - 2, what is the result after factoring out the coefficient 5/2?

• K + 4/5

• K - 4/5

• 5/2(K + 4/5)

• 5/2(K - 4/5)