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Chapter 1: Q61. (page 36)

Evaluate the expression when x=6andy=12. (Lesson 1.3)

localid="1649147588022" 7x-y+1

Short Answer

Expert verified

The value of the expression is29.

Step by step solution

01

Step-1 – Order of operations

To evaluate any expression involving more than one operation, follow the below order of operations:

  • First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
  • Evaluate the exponents.
  • Perform Multiplication and division from left to right.
  • Perform addition and subtraction from left to right.
02

Step-2 – Evaluate expression inside grouping symbol

To evaluate the expression 7x-y+1, substitute 6 for x and 12 for y in the given expression and simplify the expression inside the parenthesis as follows

7x鈭�y+1=7鈰�6鈭�12+1=7鈰�6鈭�13=7鈰�6鈭�13

03

Step-3 – Multiply from left to right

Now to simplify further, multiply the first two numbers to get

7x鈭�y+1=7鈰�6鈭�13=42鈭�13

04

Step-4 – Subtract the numbers

Now to simplify further, subtract the numbers to get

7x鈭�y+1=42鈭�13=29

Thus, the value of the expression is 29.

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