CPM Homework Help : CCA Problem 3-93

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3-93.

Solve each equation. Be sure to find all possible answers and check your solutions.

$\left|x\right|=7$

Hint (a):
The absolute value of $x$ is $7$ , which means $x$ is $7$ away from zero. Which number or numbers are $7$ away from zero?
Answer (a):
$7$ and $−7$

$\left|2x\right|=32$

Hint (b):
$2x$ is $32$ units away from zero, so $x$ is only half as far from zero.

$\left|x+7\right|=10$

Hint (c):
After adding $7$ to $x$ , it is only $10$ away from zero. Find the number or numbers $10$ away from zero, and subtract $7$ from them.
Answer (c):
$3$ and $−17$

$\left|x\right|=53.1$

Hint (d):
See the help for (a).

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