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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset Vaia Explanations$ Math

Student Edition · 801 pages

ISBN: 9780078884801

Chapter 2: Q22. (page 110)

Evaluate each expression if $x = - 4, y = 7, and z = - 9$ .
$|3 x - 2| + 2 y$

Short Answer

Expert verified

$|3 x - 2| + 2 y = 28$

Step by step solution

01

Step 1. Given information.

$x = - 4, y = 7,$ and $z = - 9$ , and expression is: $|3 x - 2| + 2 y$

02

Step 2. Description of step.

To solve the given expression:

substitute the given value of x and y in the expression, as:

$|3 x - 2| + 2 y = |3 (- 4) - 2| + 2 (7) = |- 12 - 2| + 14 = |- 14| + 14 = 14 + 14 = 28$

Thus, $|3 x - 2| + 2 y = 28$

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Most popular questions from this chapter

Find the value of $n$ . Then name the property used in each step. (Lesson 1-3)

$(10 - 8) (7) = 2 (n)$

Solve each equation. Check your solution. (Lesson 2-3)

$\frac{a}{7} - 3 = - 2$

Solve each equation. Check your solution. (Lesson 2-3)

$\frac{1}{2} z + 7 = 16 - \frac{3}{5} z$

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