Algebra 2 Semester Exam Test B

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed. It is often remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What does the 'f(x)' notation represent in mathematics?

Back

The 'f(x)' notation represents a function, where 'f' is the name of the function and 'x' is the input variable. It is equivalent to 'y' in a function equation.

Front

How do you express '5 less than r' in algebraic terms?

Back

The expression '5 less than r' is written as 'r - 5'.

Front

What does it mean to isolate a variable in an equation?

Back

To isolate a variable means to manipulate the equation so that the variable is on one side by itself, allowing you to solve for its value.

Front

What does the 'E' in PEMDAS stand for?

Back

The 'E' in PEMDAS stands for 'Exponent'.

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown value in mathematical expressions or equations.

Front

What is the purpose of parentheses in mathematical expressions?

Back

Parentheses are used to indicate which operations should be performed first in an expression, following the order of operations.

Front

What is the difference between an equation and an expression?

Back

An equation is a mathematical statement that asserts the equality of two expressions, while an expression is a combination of numbers, variables, and operators without an equality sign.

Front

How do you solve the equation 2x + 3 = 11?

Back

To solve for x, subtract 3 from both sides to get 2x = 8, then divide both sides by 2 to find x = 4.

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.