Evaluating Algebraic Expressions Effectively

The video tutorial introduces students to evaluating algebraic expressions, starting with key vocabulary such as variables, algebra, and expressions. It explains the difference between algebraic expressions and equations, and introduces the concept of coefficients. The tutorial then demonstrates how to evaluate expressions using substitution and algebra style, emphasizing the importance of showing all steps. It covers solving complex expressions using PEMDAS, and explains multiplication in algebra. The video also includes writing expressions for story problems and simplifying expressions using the distributive property.

What is a variable in algebra?

• A number that is always known

• A symbol that represents an unknown quantity

• A mathematical operation

• A fixed value

Which of the following is an example of an algebraic expression?

• 5 + 3

• x - 2

• 7 * 4

• 10 / 2

What additional element does an algebraic equation have that an algebraic expression does not?

• An equal sign

• A variable

• A coefficient

• A number

If C = 8 and D = 5, what is the value of the expression C - 3?

• 5

• 8

• 3

• 11

What is the final solution of the expression 15 - D if D = 5?

• 15

• 10

• 5

• 20

What is the final boxed solution of the expression (8 + 5) / (8^2 + 5^2 - 63)?

• 1/3

• 1/4

• 1/2

• 2/3

What does it mean when a number and a variable are 'hugging' in an algebraic expression?

• They are divided

• They are multiplied

• They are subtracted

• They are added together

Simplify the expression 7(r + 8).

• 7r - 56

• 7 + 8r

• 7r + 56

• 7r + 8

What is the simplified form of the expression 3(6 - h) + 9?

• 18 - 3h

• 18 - 3h + 9

• 18 + 3h

• 27 - 3h

Write an algebraic expression for a cell phone plan that charges 12 cents per text and has a fixed cost of $19.99 per month.

• 12 + 19.99t

• 0.12t + 19.99

• 0.12 + 19.99t

• 12t + 19.99