Which property allows you to multiply a sum by distributing the multiplication over each term?

Which of the following is a variable in algebra?

A). x + 5

B). 10

C). 2x

D). y * z

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 fundamental concept of algebra?

A). Solving equations

B). Studying biology

C). Programming languages

D). Art and literature

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 degree of the polynomial 4x^3 + 2x^2 - x + 7?

A). 1

B). 2

C). 3

D). 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 '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 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 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