Chapter 2: Q16. (page 106)

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

Short Answer

Expert verified

The expression $- a + |2 x - a|$ is equal to 8.2.

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

$- a + |2 x - a| = - (- 2) + |2 \times 2.1 - (- 2)|$

Step-3. Simplify the expression.

Solve the expression as per order of operations.

$- a + |2 x - a| = - (- 2) + |2 \times 2.1 - (- 2)| = 2 + |2 \times 2.1 + 2| = 2 + |4.2 + 2| = 2 + |6.2| = 2 + 6.2 = 8.2$

Therefore, the value expression is 8.2.

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

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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Evaluate each expression if a=−2,b=−3,c=2, x=2.1,y=3, and z=−4.2.−a+2x−a

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

Geometry

Applied Mathematics

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Statistics

Pure Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

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