Evaluating Algebraic Expressions Mastery

This video tutorial covers evaluating algebraic expressions. It begins with an introduction to variables and expressions, followed by a detailed explanation of how to evaluate expressions using given values. The tutorial includes examples with specific values and applies these concepts to real-world problems, such as calculating taxi fares and balloon costs. The video aims to provide a comprehensive understanding of evaluating algebraic expressions and their practical applications.

What is a variable in algebra?

• A fixed number

• A symbol representing an unknown value

• A mathematical operation

• A type of equation

What does it mean to evaluate an algebraic expression?

• To convert it into a different form

• To write it in words

• To simplify it without numbers

• To find its value by substituting variables with numbers

If x = 2, what is the value of 3x?

• 6

• 5

• 2

• 3

Given a = 5 and b = 2, what is the value of 5 + b?

• 7

• 10

• 3

• 5

If a = 10 and b = 15, what is the value of a^2 - b?

• 85

• 90

• 75

• 100

What is the value of 2ab if a = 10 and b = 15?

• 250

• 300

• 200

• 150

Bruce is taking a taxi that charges $2 initially and $3 per mile. What is the algebraic expression for the cost of a ride of m miles?

• 3m + 2

• 2m + 3

• 2 + 3m

• 3 + 2m

Using the expression 2 + 3m, what is the cost of an 8-mile taxi ride?

• $28

• $20

• $26

• $24

A small balloon costs $3 and a large balloon costs $5. What is the algebraic expression for the cost of x small balloons and y large balloons?

• 3x + 5y

• 5x + 3y

• 3 + 5xy

• 5 + 3xy

Using the expression 3x + 5y, what is the total cost for 15 small balloons and 9 large balloons?

• $90

• $75

• $105

• $120