Understanding Algebraic Expressions

Gis introduces algebraic expressions, explaining their components and historical context. She provides examples of calculating perimeters of shapes and costs using algebraic expressions, emphasizing the role of variables. The video concludes with practical applications in everyday scenarios, like bike rentals and cafeteria expenses.

Which branch of mathematics deals with the study of space and shapes?

• Statistics

• Algebra

• Geometry

• Arithmetic

What is a key feature of algebraic expressions that differentiates them from numerical expressions?

• They only use numbers.

• They do not involve operations.

• They include letters known as variables.

• They are always equations.

Who was the first to use letters and signs in algebraic expressions?

• Isaac Newton

• René Descartes

• François Viète

• Leonhard Euler

How do you calculate the perimeter of a rectangle with sides x and y?

• x * y

• x + y

• 2x + 2y

• x^2 + y^2

In the triangle example, which terms can be combined in the expression 2x + 6 + y + 3 + 8?

• 2x and y

• 6, 3, and 8

• 2x and 6

• y and 3

What is the fixed cost for renting a bike in the given example?

• 2 reais

• 3 reais

• 5 reais

• 7 reais

How would you express the total cost of renting a bike for x hours?

• 3 + 2x

• x + 3

• 3x + 2

• 2x + 5

If a person buys x drumsticks, y sodas, and z ice creams, what is the algebraic expression for the total cost?

• 5x + 7y + 3z

• 7x + 5y + 3z

• 3x + 5y + 7z

• 5x + 3y + 7z

What is the cost of one soda in the cafeteria example?

• 3 reais

• 5 reais

• 2 reais

• 7 reais

Which of the following is a variable in the cafeteria example?

• 7

• 5

• x

• 3