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 do the variables in an expression represent?

Back

Variables are symbols (like x, y, w, t) that represent unknown values or quantities.

Front

Evaluate the expression: 8w + t for w = 6 and t = 20.

Back

68

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 the first step in solving the expression: (4 - 2) x 9 + 7?

Back

The first step is to perform the operation inside the parentheses: (4 - 2) = 2.

Front

What is the result of 12 ÷ 3 x 4?

Back

The result is 16, calculated as follows: first 12 ÷ 3 = 4, then 4 x 4 = 16.

Front

Evaluate the expression (c - a)^b for a = 2, b = 3, c = 4.

Back

The result is 8, calculated as follows: (4 - 2)^3 = 2^3 = 8.

Front

What does the term 'evaluate' mean in mathematics?

Back

To evaluate means to calculate the value of an expression by substituting the variables with their given values.

Front

What is a polynomial expression?

Back

A polynomial expression is a mathematical expression that consists of variables raised to whole number powers and their coefficients, such as 2x + 3 + x^2.

Front

Evaluate the expression 2x + 3 + x^2 for x = 4.

Back

The result is 27, calculated as follows: 2(4) + 3 + (4^2) = 8 + 3 + 16 = 27.