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
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 degree of the polynomial 4x^3 + 2x^2 - x + 7?
A). 1
B). 2
C). 3
D). 4
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 a variable in algebra?
A). x + 5
B). 10
C). 2x
D). y * z
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
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
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
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