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 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 binomial in algebra?
A). 2x^2 + 5
B). 3x^3 + 2x^2 - x
C). x^2 - 4
D). 4x + 7
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
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 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 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 trinomial in algebra?
A). 2x^2 + 5
B). 3x^3 + 2x^2 - x
C). x^2 - 4 + 6
D). 4x + 7
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