Chapter 1: Q12. (page 8)

Evaluate each expression $x = 4, y = - 2,$ if and $z = 6$
$x + [3 (y + z) - y]$

Short Answer

Expert verified

Expression $x + [3 (y + z) - y]$ results into 18.

Step by step solution

- Order of simplification

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.

- Substitute given values

Simplify parentheses by adding $y$ with $z$ . Then multiply result with 3 and subtract y from it.

Finally add resultant with $x$ .

Substitute 4 for $x$ , $- 2$ for $y$ and 6 for $z$ into given expression

$x + [3 (y + z) - y] = 4 + [3 ((- 2) + 6) - (- 2)]$

- Simplify 4+3-2+6--2

Follow order of simplification

$(- 2) + 6 = 4$

Then

$3 (4) = 12$

Then

$12 - (- 2) = 14$

Finally

localid="1645014756558" $4 + 14 = 18$

Thus, $x + [3 (y + z) - y] = 18$

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Evaluate each expression $x = 4, y = - 2,$ if and $z = 6$
$x + [3 (y + z) - y]$

Short Answer

Step by step solution

- Order of simplification

- Substitute given values

- Simplify 4+3-2+6--2

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Evaluate each expression x=4,y=−2,if and z=6x+3y+z−y

Short Answer

Step by step solution

- Order of simplification

- Substitute given values

- Simplify 4+3-2+6--2

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Mechanics Maths

Calculus

Statistics

Applied Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Evaluate each expression $x = 4, y = - 2,$ if and $z = 6$
$x + [3 (y + z) - y]$