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
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
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 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 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 trinomial in algebra?
A). 2x^2 + 5
B). 3x^3 + 2x^2 - x
C). x^2 - 4 + 6
D). 4x + 7
What is the degree of the polynomial 4x^3 + 2x^2 - x + 7?
A). 1
B). 2
C). 3
D). 4
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