How to simplify an expression by applying distributive property and combining like terms

The video tutorial explains how to apply the distributive property to an algebraic expression and then simplify it by combining like terms. It demonstrates the process of rewriting expressions to maintain the correct signs and shows how to combine terms with the same variable factors to simplify the expression further.

What is the result of applying the distributive property to the expression 3 * (4X - 1)?

• 12X + 3

• 7X - 3

• 7X + 3

• 12X - 3

Which of the following pairs of terms can be combined as like terms?

• 12X and 15

• 12X and 15X

• 4X and -1

• 15 and -3

What is the simplified form of the expression 12X + 15X - 3?

• 27X - 3

• 15X - 3

• 27X + 3

• 12X + 15X

Why is it important to keep the signs together when rewriting expressions?

• To change the value of the expression

• To maintain the mathematical integrity of the expression

• To ensure the expression is easier to read

• To make the expression longer

Which of the following is equivalent to 5 + 4?

• 5 + 5

• 5 - 4

• 4 + 5

• 4 - 5