CPM Homework Help : GB8I Problem 11-36

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Home > GB8I > Chapter 11 Unit 12 > Lesson INT1: 11.1.3 > Problem 11-36

11-36.

Solve the equations below. Explain your steps for parts (a) and (c). Check your solutions, if possible.

$|x-3|+3=4$
Step 1(a):
First, isolate the absolute value term.
Step 2(a):
The value inside the absolute value signs is equal to $1$ or $−1$ . Write two equations and solve each of them for $x$ .
$x−3=1$
$x−3=−1$

$(x−5)^3=8$
Hint (b):
What is the cube root of $8$ ?

$\frac { 5 } { 9 } - \frac { x } { 3 } = \frac { 4 } { 9 }$
Hint (c):
If you multiply each term by the common denominator, $9$ , and use Giant Ones, you will eliminate the denominators.

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