Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 2: Q20. (page 106)

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

Short Answer

Expert verified

The expression $鈭� 3 |z| + 2 (a + y)$ is equal to $鈭� 10.6$ .

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

$鈭� 3 |z| + 2 (a + y) = 鈭� 3 |鈭� 4.2| + 2 (鈭� 2 + 3)$

Step-3. Simplify the expression.

Solve the expression as per order of operations.

$鈭� 3 |z| + 2 (a + y) = 鈭� 3 |鈭� 4.2| + 2 (鈭� 2 + 3) = 鈭� 3 脳 |鈭� 4.2| + 2 (1) = 鈭� 3 脳 4.2 + 2 = 鈭� 12.6 + 2 = 鈭� 10.6$

Therefore, the value expression is $鈭� 10.6$ .

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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 $z = 鈭� 4.2$ .
$鈭� 3 |z| + 2 (a + y)$

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.鈭�3z+2a+y

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

Decision Maths

Discrete Mathematics

Probability and Statistics

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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 $z = 鈭� 4.2$ .
$鈭� 3 |z| + 2 (a + y)$