What is the fundamental concept of algebra?
A). Solving equations
B). Studying biology
C). Programming languages
D). Art and literature
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 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 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 x^2 - 4 = 0 in algebra?
A). x = -2
B). x = 2
C). x = -4
D). x = 4
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 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 is the solution to the equation 2x + 3 = 7 in algebra?
A). x = 4
B). x = 2
C). x = 5
D). x = 1
Which of the following is a variable in algebra?
A). x + 5
B). 10
C). 2x
D). y * z
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