Which of the following is a binomial in algebra?

Which of the following is a valid algebraic identity?

A). (x + y)^2 = x^2 + y^2

B). (x + y)(x - y) = x^2 + y^2

C). (x + y)^2 = x^2 - y^2

D). x^2 - y^2 = (x + y)^2

What is the fundamental concept of algebra?

A). Solving equations

B). Studying biology

C). Programming languages

D). Art and literature

What is the purpose of using variables in algebra?

A). Representing unknown quantities

B). Making calculations faster

C). Adding complexity to equations

D). Ignoring numerical values

In algebraic expressions, what does the term 'exponent' represent?

A). The number being multiplied

B). The result of multiplication

C). The base raised to a power

D). The constant term

Which property of algebra allows you to add or multiply terms in any order?

A). Commutative property

B). Associative property

C). Distributive property

D). Identity property

What is the solution to the equation 2x + 3 = 7 in algebra?

A). x = 4

B). x = 2

C). x = 5

D). x = 1

In algebraic expressions, what does the term 'coefficient' refer to?

A). The constant part of the expression

B). The highest power of a variable

C). The number in front of a variable

D). The solution to the equation

What does the term 'expression' refer to in algebra?

A). A mathematical phrase containing numbers and variables

B). An equation with an equal sign

C). A statement that is always true

D). A function with inputs and outputs

Which property allows you to multiply a sum by distributing the multiplication over each term?

A). Distributive property

B). Commutative property

C). Associative property

D). Identity property

Which of the following is a trinomial in algebra?

A). 2x^2 + 5

B). 3x^3 + 2x^2 - x

C). x^2 - 4 + 6

D). 4x + 7