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

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^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 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

What is the correct order of operations in algebraic expressions?

A). Parentheses, Exponents, Multiplication/Division, Addition/Subtraction

B). Exponents, Parentheses, Addition/Subtraction, Multiplication/Division

C). Multiplication/Division, Exponents, Addition/Subtraction, Parentheses

D). Addition/Subtraction, Multiplication/Division, Exponents, Parentheses

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

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

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

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