Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 2: Q50. (page 142)

Evaluate each expression if $m = 鈭� 8, n = 4,$ and $p = 鈭� 12$ .
$4 |7 m + 3 p| + 4 n$

Short Answer

Expert verified

The value of the expression is $384$ .

Step by step solution

Step 1. Plug the values of the variables.

A variable is a letter or a literal used to signify an unknown quantity.

We are given the expression $4 |7 m + 3 p| + 4 n$ and role="math" localid="1643042212089" $m = 鈭� 8, n = 4, p = 鈭� 12$ , plugging these values:

We get:

$\begin{array}{l} 4 | 7 m + 3 p | + 4 n \\ = 4 | 7 脳 (鈭� 8) + 3 脳 (鈭� 12) | + 4 脳 4 \end{array}$

Step 2. Simplify the expression.

$\begin{array}{l} 4 | 7 脳 (鈭� 8) + 3 脳 (鈭� 12) | + 4 脳 4 \\ 4 | 鈭� 56 + 鈭� 36 | + 16 \\ 4 | 鈭� 92 | + 16 \end{array}$

Step 3. Apply the definition of absolute function.

The absolute value or modulus of a real number x, denoted $|x|$ , it is the non-negative value of $x$ without regard to its sign.

$|x| = x$ if $x$ is positive,

$|x| = 鈭� x$ if $x$ is negative,

$|0| = 0$ .

For example, the absolute value of 5 is 5, and the absolute value of 鈭�5 is also 5.

We have the expression $4 | 鈭� 92 | + 16$ , now using definition of absolute value function we get:

role="math" localid="1643042458608" $\begin{array}{l} 4 | 鈭� 92 | + 16 \\ = 4 脳 92 + 16 \\ = 368 + 16 \\ = 384 \end{array}$

Thus, the value of the expression is $384$ .

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91影视

Evaluate each expression if $m = 鈭� 8, n = 4,$ and $p = 鈭� 12$ .
$4 |7 m + 3 p| + 4 n$

Short Answer

Step by step solution

Step 1. Plug the values of the variables.

Step 2. Simplify the expression.

Step 3. Apply the definition of absolute function.

One App. One Place for Learning.

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91影视

Evaluate each expression if m=鈭�8,n=4,and p=鈭�12.47m+3p+4n

Short Answer

Step by step solution

Step 1. Plug the values of the variables.

Step 2. Simplify the expression.

Step 3. Apply the definition of absolute function.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Mechanics Maths

Probability and Statistics

Pure Maths

Discrete Mathematics

Decision Maths

Study anywhere. Anytime. Across all devices.

Evaluate each expression if $m = 鈭� 8, n = 4,$ and $p = 鈭� 12$ .
$4 |7 m + 3 p| + 4 n$