Algebra

What is a function in algebra?

• A function is a relation that assigns exactly one output for each input, often expressed as f(x).

• A function is a type of equation that has multiple outputs for a single input.

• A function is a graphical representation of data points without any specific relationship.

• A function is a mathematical operation that only applies to whole numbers.

What is an equation?

• A mathematical statement that asserts the equality of two expressions, typically containing variables.

• A formula used to calculate the area of a circle.

• A type of graph that represents data points in a coordinate system.

• A method for solving inequalities.

What does it mean to simplify an expression?

• To reduce it to its simplest form by combining like terms and performing operations.

• To make the expression longer and more complex.

• To change the expression into a different variable form.

• To eliminate all variables from the expression.

What is a polynomial?

• A polynomial is an algebraic expression that consists of variables, coefficients, and non-negative integer exponents.

• A polynomial is a type of equation that only includes positive integers.

• A polynomial is a mathematical constant that cannot change.

• A polynomial is a geometric shape defined by its angles.

What is Algebra?

• A branch of mathematics that uses symbols and letters to represent numbers and quantities in formulas and equations.

• A method of solving problems using only numbers.

• A type of geometry that focuses on shapes and their properties.

• A branch of science that deals with the study of matter and energy.

What is the perimeter of a rectangle?

• P = length × width

• P = 2(length + width)

• P = 2(length - width)

• P = length + width

How do you evaluate an expression?

• To evaluate an expression, substitute the values of the variables into the expression and perform the operations.

• By ignoring the variables and simplifying the expression to its lowest terms.

• By randomly assigning values to the variables and calculating the result.

• By rewriting the expression in a different form without calculating the result.

What is the difference between an expression and an equation?

• An expression is a combination of numbers, variables, and operations with an equality sign, while an equation does not include an equality sign.

• An expression is a combination of numbers, variables, and operations without an equality sign, while an equation includes an equality sign.

• An expression is always equal to a number, while an equation can be a statement of inequality.

• An expression can only contain numbers, while an equation can contain both numbers and variables.

What does it mean to combine like terms?

• Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

• Combining like terms means multiplying terms with different variables.

• Combining like terms refers to dividing terms with the same variable.

• Combining like terms is the process of factoring out common factors from an expression.

What is a coefficient?

• A constant value that does not change in an equation.

• A numerical factor in a term of an algebraic expression, indicating how many times the variable is multiplied.

• A variable that represents an unknown quantity in mathematics.

• A symbol used to denote a mathematical operation.