4.0 Substitute and Evaluate

Front

What does it mean to substitute in mathematics?

Back

Substituting in mathematics means replacing a variable with a specific value to simplify an expression or solve an equation.

Front

What is the purpose of evaluating an expression?

Back

The purpose of evaluating an expression is to find its numerical value by performing the operations indicated.

Front

If x = 5, what is the value of 2x + 3?

Back

2(5) + 3 = 10 + 3 = 13.

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

What does the term 'expression' mean in math?

Back

An expression is a combination of numbers, variables, and operations (like addition and multiplication) that represents a value.

Front

How do you evaluate the expression 4y - 2 when y = 3?

Back

4(3) - 2 = 12 - 2 = 10.

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that dictates 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 is the result of substituting 2 for x in the equation x + 4 = ?

Back

2 + 4 = 6.

Front

What does it mean to show your work in math?

Back

Showing your work means writing down each step taken to arrive at a solution, which helps in understanding the process and verifying the answer.

Front

If a = 10, what is the value of 3a - 5?

Back

3(10) - 5 = 30 - 5 = 25.