Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 2: Q14. (page 106)

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

Short Answer

Expert verified

The expression $4 a 鈭� |3 b + 2 c|$ 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 $4 a 鈭� |3 b + 2 c|$ substitute -2 for a, -3 for b, 2 for c, 2.1 for x, 3 for y and -4.2 for z.

$4 a 鈭� |3 b + 2 c| = 4 脳 (鈭� 2) 鈭� |3 脳 (鈭� 3) + 2 脳 2|$

Step-3. Simplify the expression.

Solve the expression as per order of operations.

$4 a 鈭� |3 b + 2 c| = 4 脳 (鈭� 2) 鈭� |3 脳 (鈭� 3) + 2 脳 2| = 鈭� 8 鈭� |3 脳 (鈭� 3) + 2 脳 2| = 鈭� 8 鈭� |鈭� 9 + 4| = 鈭� 8 鈭� |鈭� 5| = 鈭� 8 鈭� 5 = 鈭� 13$

Therefore, the value expression is -13.

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91影视

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

Short Answer

Step by step solution

Step-1. Define absolute value expression.

Step-2. Substitute the variables.

Step-3. Simplify the expression.

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91影视

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

Discrete Mathematics

Applied Mathematics

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Mechanics Maths

Study anywhere. Anytime. Across all devices.

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