CPM Homework Help : INT3 Problem 3-61

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Home > INT3 > Chapter 3 > Lesson 3.1.4 > Problem 3-61

3-61.

Solve each equation algebraically. Think about Rewriting, Looking Inside, or Undoing.

$5−3\left(\frac{1}{2}x+2\right)=−7$
Step 1 (a):
Subtract $5$ .
$-3(\frac{1}{2}x+2)=-12$
Step 2 (a):
Divide by $−3$ .
$\frac{1}{2}x+2=4$
Step 3 (a):
Subtract $2$ .
$\frac{1}{2}x=2$
Step 4 (a):
Multiply by the reciprocal.
Answer (a):
$x=4$

$5 ( \sqrt { x - 2 } + 1 ) = 15$
Hint (b):
See part (a).
Answer (b):
$x=6$

$12-\left(\frac{2x}{3}+x\right)=2$
Hint (c):
See part (a).

$-3(2x+1)^3=-192$
Hint (d):
See part (a).
Answer (d):
$\textit{x}=\frac{3}{2}$

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