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

Back

1

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 the formula for the square of a binomial?

Back

(a + b)² = a² + 2ab + b².

Front

Evaluate the expression: x² - xy if x = 8 and y = -3.

Back

88

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac.

Front

Evaluate the expression: (18 - ab) + 4b if a = -2 and b = -5.

Back

-12

Front

What is a variable in mathematics?

Back

A variable is a symbol (often a letter) that represents an unknown value.