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

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

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 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

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 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 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 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

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

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

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