CPM Homework Help : CC3MN Problem 10-33

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Home > CC3MN > Chapter 10 > Lesson 10.1.3 > Problem 10-33

10-33.

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

$|x| = 7$
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 $-7$

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

$| x + 7 | = 10$
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 $-17$

$5|x|=35$
Hint (d):
Divide by $5$ , then solve.
Answer (d):
$x = ±7$

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