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 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 fundamental concept of algebra?
A). Solving equations
B). Studying biology
C). Programming languages
D). Art and literature
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 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 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 purpose of using variables in algebra?
A). Representing unknown quantities
B). Making calculations faster
C). Adding complexity to equations
D). Ignoring numerical values
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 degree of the polynomial 4x^3 + 2x^2 - x + 7?
A). 1
B). 2
C). 3
D). 4
Which of the following is a variable in algebra?
A). x + 5
B). 10
C). 2x
D). y * z