CPM Homework Help : MC2 Problem 10-87

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10-87.

Simplify each of the following expressions.

$8 ^ { 2 } + 7 ^ { 2 }$
Hint (a):
Use the Order of Operations.
More Help (a):
$64+49$
Answer (a):
$113$

$7 ^ { 2 } \cdot 7 \cdot 7$
Hint (b):
How can you combine these?
Answer (b):
$7^4=2401$

$\left(\frac{1}{2}\right)^2+\left(\frac{2}{3}\right)^2$
Hint (c):
Use the same method as part (a).

$( 2 ^ { 2 } + 6 ) ^ { 2 }$
Step 1 (d):
$(4+6)^2$
Step 2 (d):
$(10)^2$
Answer (d):
$100$

$- 4 \cdot 3 ^ { 2 } - 2$
Hint (e):
Use the Order of Operations.

$x-x$
Hint (f):
What do you get when you subtract any number from itself?
Answer (f):
$0$

$3 \cdot 3 \div 3$
Hint (g):
Start from the left and work your way to the right.
Answer (g):
$3$

$4 x + x - 2 x$
Hint (h):
Combine like terms.
Answer (h):
$3x$

$- 2 \cdot 4 \div 4$
Hint (i):
See part (g).

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