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 a² - b² if a = 4 and b = -2.

Back

12

Front

Evaluate the expression (12xy)/(x - y) if x = 3 and y = -1.

Back

-9

Front

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

Back

-40

Front

Evaluate the expression ½(10p - 7q) if p = 9 and q = 2.

Back

38

Front

Evaluate the expression -7w² + 2w if w = -4.

Back

-120

Front

What is the difference between a variable and a constant?

Back

A variable is a symbol that represents a number that can change, while a constant is a fixed value that does not change.

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).

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an expression.