Factor Out the GCF (Simple Expressions)

What is the GCF of 7 and 42?

• 5

• 7

• 14

• 21

Can the GCF be a variable?

• No, the GCF can only be a constant.

• Yes, the GCF can be a variable if it is common to all terms in the expression.

• The GCF is always a number, never a variable.

• The GCF can be a variable only in specific cases.

Factor out the GCF from 7v + 42.

• 7(v + 6)

• v(7 + 42)

• 7v(1 + 6)

• 14(v + 3)

Factor out the GCF from 4r + 32.

• 4(r + 8)

• 2(r + 16)

• 4(r + 4)

• 8(r + 4)

What does it mean to simplify an expression?

• To make an expression more complex and difficult to evaluate.

• To reduce an expression to its simplest form, making it easier to evaluate or solve.

• To change the variables in an expression to different values.

• To eliminate all variables from an expression.

Factor out the GCF from 8x + 72.

• 8(x + 9)

• 4(x + 18)

• 2(x + 36)

• 8(x + 8)

What is the GCF of 4 and 32?

• 2

• 4

• 8

• 16

Factor out the GCF from 24x + 8.

• 8(3x + 1)

• 4(6x + 2)

• 2(12x + 4)

• 24(1x + 1/3)

What is the GCF of 8 and 72?

• 4

• 6

• 8

• 10

Why is factoring out the GCF useful in simplifying expressions?

• It makes expressions more complex and harder to understand.

• It helps in finding the roots of the equation more easily.

• Factoring out the GCF simplifies expressions, making them easier to work with and understand.

• It is only useful for polynomial equations.