Substituting Variables

Front

What is a variable in mathematics?

Back

A variable is a symbol used to represent an unknown value or a value that can change.

Front

How do you substitute a value into an expression?

Back

To substitute a value into an expression, replace the variable with the given value and then simplify the expression.

Front

What is the result of substituting x=3 into the expression 3x+1?

Back

The result is 10.

Front

If b=3, what is the value of the expression 4 + 6b?

Back

The value is 22.

Front

What does the expression 5h represent when h=2?

Back

The expression represents 5(2), which is the new problem after substitution.

Front

What is the value of the expression 5 + x + 2x when x=1?

Back

The value is 8.

Front

What is the purpose of substituting variables in expressions?

Back

The purpose is to evaluate the expression for specific values of the variables.

Front

Can a variable represent more than one value?

Back

Yes, a variable can represent different values in different contexts or equations.

Front

What is the difference between a constant and a variable?

Back

A constant is a fixed value that does not change, while a variable can change or represent different values.

Front

How do you simplify an expression after substitution?

Back

To simplify an expression after substitution, perform the arithmetic operations according to the order of operations (PEMDAS/BODMAS).