Evaluating Expressions

Front

What is an expression in mathematics?

Back

An expression is a combination of numbers, variables, and operators (such as +, -, *, /) that represents a value.

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting the variables with given numbers.

Front

Evaluate the expression: 2x + 5(y - 1) when x=8 and y=5.

Back

36

Front

What is the formula for the difference of squares?

Back

The difference of squares is given by a² - b² = (a - b)(a + b).

Front

Evaluate the expression: a² - b² if a=4 and b=-2.

Back

12

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables raised to whole number powers and coefficients.

Front

Evaluate the expression: 10c - cd + d³ if c = -6 and d = 2.

Back

-40

Front

What is a variable in mathematics?

Back

A variable is a symbol (often a letter) that represents an unknown value in an expression or equation.

Front

Evaluate the expression: 5m + 9n if m = -7 and n = 4.

Back

1

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: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).