What is the purpose of using variables in algebra?

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

A). x = 4

B). x = 2

C). x = 5

D). x = 1

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 does the term 'factor' mean in algebra?

A). To break down an expression into simpler parts

B). To multiply two or more terms

C). To add terms together

D). To rearrange terms in an equation

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

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 fundamental concept of algebra?

A). Solving equations

B). Studying biology

C). Programming languages

D). Art and literature

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

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

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

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