Which of the following is a variable in algebra?

Which of the following is a quadratic equation in algebra?

A). 3x - 5 = 0

B). y = mx + b

C). x^2 + 2x + 1 = 0

D). 4x + 7 = 15

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 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

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

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

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 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

What is the fundamental concept of algebra?

A). Solving equations

B). Studying biology

C). Programming languages

D). Art and literature

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

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