Question

Evaluate the following expression when a = 5 and b = 1. Then, plot the resulting value on the provided number line.12 + 2 – (4 : a2)] = 7 + 6XDeleteUndoResetDrawing ToolsClick on a tool to begin drawingSelectPoint--5-31135

Answer 1

The expression to evaluate is

$12+\lbrack2-(4\cdot a^2)\rbrack\div7+b$

We will evalute this expression when a = 5 and b = 1.

Before simplifying, remember the Order of Operations:

P - Parentheses

E - Exponent

M - Multiplication

D - Division

A - Addition

S - Subtraction

Now, let's put the values of 'a' and 'b' and simplify the expression. This is shown below:

$\begin{gathered} 12+\lbrack2-(4\cdot a^2)\rbrack\div7+b \\ =12+\lbrack2-(4\cdot(5)^2)\rbrack\div7+(1) \\ =12+\lbrack2-(4\cdot25)\rbrack\div7+1 \\ =12+\lbrack2-100\rbrack\div7+1 \\ =12+\lbrack-98\rbrack\div7+1_{} \\ =12-98\div7+1 \\ =12-14+1 \\ =-1 \end{gathered}$

Now, we can plot this value on the number line shown,