What is the fundamental concept of algebra?

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 an example of a linear equation in algebra?

A). 3x^2 + 5 = 0

B). y = mx + b

C). (x + 2)(x - 3) = 0

D). 2x + 7 = 15

Which of the following is a variable in algebra?

A). x + 5

B). 10

C). 2x

D). y * z

What is the solution to the equation x^2 - 4 = 0 in algebra?

A). x = -2

B). x = 2

C). x = -4

D). x = 4

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 'exponent' represent?

A). The number being multiplied

B). The result of multiplication

C). The base raised to a power

D). The constant term

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

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 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

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

A). x = 4

B). x = 2

C). x = 5

D). x = 1