Examples with solutions for Parentheses in advanced Order of Operations: Using variables

Exercise #1

Solve the exercise below given that:X=4 X=4

(X+4)(3+X) (X+4)(3+X)

Video Solution

Step-by-Step Solution

We start by substituting the value of X X

(4+4)(3+4) (4+4)(3+4)

First, we perform the calculation in parentheses

(8)(7) (8)(7)

After this, we solve the parentheses and can continue with the simple multiplication exercise.

7×8=56 7\times 8=56

Answer

56

Exercise #2

What is the number that should replace y?

2312×(5)+y ⁣:7+[214]=107 23-12\times(-5)+y\colon7+\lbrack21-4\rbrack=107

Video Solution

Step-by-Step Solution

We begin by solving the multiplication exercise:

12×(5)=60 12\times(-5)=-60

and subsequently the exercises within brackets:

214=17 21-4=17

We obtain the following:

23(60)+y:7+17=107 23-(-60)+y:7+17=107

Keep in mind that a negative times a negative becomes a positive:

23+60+y:7+17=107 23+60+y:7+17=107

Next we simplify and add:

23+60=83 23+60=83

83+17=100 83+17=100

We obtain the following calculation:

100+y:7=107 100+y:7=107

We then rearrange the sections:

y:7=107100 y:7=107-100

y7=7 \frac{y}{7}=7

Lastly we multiply by 7:

y=7×7=49 y=7\times7=49

Answer

49

Exercise #3

How much is Xequal to?

(3217)×4×9 ⁣:350 ⁣:x=170 (32-17)\times4\times9\colon3-50\colon x=170

Video Solution

Answer

5