Evaluating Expressions and Exponents

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols (like +, -, ×, ÷). For example, 3x + 5 is an algebraic expression.

Front

What does it mean to evaluate an expression?

Back

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

Front

What is an exponent?

Back

An exponent is a number that shows how many times a base is multiplied by itself. For example, in 2^3, 2 is the base and 3 is the exponent, meaning 2 × 2 × 2.

Front

How do you simplify the expression 3 + 4 × 2?

Back

You perform multiplication before addition, so first calculate 4 × 2 = 8, then add 3: 3 + 8 = 11.

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). This is often remembered by the acronym PEMDAS.

Front

What does the term 'product' refer to in mathematics?

Back

The term 'product' refers to the result of multiplying two or more numbers together. For example, the product of 4 and 5 is 20.

Front

What does the term 'sum' refer to in mathematics?

Back

The term 'sum' refers to the result of adding two or more numbers together. For example, the sum of 3 and 7 is 10.

Front

How would you represent the expression '5 less than a number b'?

Back

The expression is represented as b - 5.

Front

What is the difference between a variable and a constant?

Back

A variable is a symbol (like x or y) that represents an unknown value, while a constant is a fixed value that does not change.

Front

How do you express 'the product of a number and 37'?

Back

This can be expressed as 37x, where x is the unknown number.