What is the correct order of operations in algebraic expressions?

What is the fundamental concept of algebra?

A). Solving equations

B). Studying biology

C). Programming languages

D). Art and literature

What is the degree of the polynomial 4x^3 + 2x^2 - x + 7?

A). 1

B). 2

C). 3

D). 4

Which of the following is a variable in algebra?

A). x + 5

B). 10

C). 2x

D). y * z

Which of the following is a binomial in algebra?

A). 2x^2 + 5

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

C). x^2 - 4

D). 4x + 7

What is the solution to the equation 3(x + 4) = 21 in algebra?

A). x = 3

B). x = 5

C). x = 7

D). x = 9

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 is the solution to the equation 2x^2 + 5x - 3 = 0 in algebra?

A). x = -3 or x = 1/2

B). x = -1/2 or x = 3

C). x = -1 or x = 3/2

D). x = -3/2 or x = 1

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 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 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