Question

Evaluate the expression for the given value of the variable. (Review 1.3 and 2.5 for 4.2 ) \(3 x+9\) when \(x=2\)

Short answer

The evaluated result of the expression \(3x + 9\) where \(x = 2\) is \(15\).

Step-by-step solution

Substitute the given value for \(x\) into the expression

We replace \(x\) in the expression \(3x + 9\) with the given value, which is \(2\). This gives us: \(3(2) + 9\)

Multiply

Perform the multiplication first, as per the BODMAS rule (Bracket, Orders, Division and Multiplication, Addition and Subtraction). So, \(3 \times 2\) becomes \(6\). Hence the expression now will be \(6 + 9\)

Add

Next, we perform addition of the numbers which means adding \(6 + 9\). This results in a final value of \(15\).