Chapter 2: Q14. (page 106)

Evaluate each expression if $a = - 2, b = - 3, c = 2$ , $x = 2.1, y = 3$ , and $z = - 4.2$ .
$4 a - |3 b + 2 c|$

Short Answer

Expert verified

The expression $4 a - |3 b + 2 c|$ is equal to -13.

Step by step solution

Step-1. Define absolute value expression.

Absolute values define an upper and lower range in which a value must lie.

Step-2. Substitute the variables.

In order to evaluate the expression $4 a - |3 b + 2 c|$ substitute -2 for a, -3 for b, 2 for c, 2.1 for x, 3 for y and -4.2 for z.

$4 a - |3 b + 2 c| = 4 \times (- 2) - |3 \times (- 3) + 2 \times 2|$

Step-3. Simplify the expression.

Solve the expression as per order of operations.

$4 a - |3 b + 2 c| = 4 \times (- 2) - |3 \times (- 3) + 2 \times 2| = - 8 - |3 \times (- 3) + 2 \times 2| = - 8 - |- 9 + 4| = - 8 - |- 5| = - 8 - 5 = - 13$

Therefore, the value expression is -13.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Evaluate each expression if $a = - 2, b = - 3, c = 2$ , $x = 2.1, y = 3$ , and $z = - 4.2$ .
$4 a - |3 b + 2 c|$

Short Answer

Step by step solution

Step-1. Define absolute value expression.

Step-2. Substitute the variables.

Step-3. Simplify the expression.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Statistics

Decision Maths

Geometry

Discrete Mathematics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Evaluate each expression if a=−2,b=−3,c=2, x=2.1,y=3, and z=−4.2.4a−3b+2c

Short Answer

Step by step solution

Step-1. Define absolute value expression.

Step-2. Substitute the variables.

Step-3. Simplify the expression.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Statistics

Decision Maths

Geometry

Discrete Mathematics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Evaluate each expression if $a = - 2, b = - 3, c = 2$ , $x = 2.1, y = 3$ , and $z = - 4.2$ .
$4 a - |3 b + 2 c|$