Factoring and Evaluating Expressions

This video tutorial covers simplifying, evaluating, and factoring expressions. It begins with an introduction to expressions and the distributive property, followed by evaluating expressions by substituting values. The tutorial then explains how to simplify expressions by combining like terms and demonstrates adding and subtracting linear expressions. It also covers arithmetic sequences, finding the greatest common factor of monomials, and factoring linear expressions.

What is an expression in mathematics?

• A problem with an equal sign

• A problem without an equal sign

• A number without variables

• A solved equation

Which of the following is an example of an expression?

• x + 2 = 5

• x + 2

• 5 = 2 + 3

• x = 2

What is the distributive property used for?

• Dividing numbers

• Adding numbers

• Subtracting numbers

• Multiplying a number by a sum inside parentheses

How do you apply the distributive property to 3(x + 4)?

• 3x + 4

• 3x + 12

• 3 + 4x

• 7x

What is a monomial?

• All of the above

• A number by itself

• A variable by itself

• A product of a number and one or more variables

What is the result of evaluating the expression 4x + 3 when x = 2?

• 11

• 10

• 9

• 8

If x = -3 and y = 4, what is the value of the expression x + y?

• 7

• 1

• -1

• -7

What does it mean to simplify an expression?

• To solve it

• To evaluate it

• To combine like terms

• To factor it

Simplify the expression 3a + 5a.

• 15a

• 2a

• 8a

• 3a + 5

What is the result of adding the expressions 2x + 3 and 4x - 5?

• 2x - 2

• 4x + 8

• 6x + 8

• 6x - 2