CPM Homework Help : CAAC Problem 2-30

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Home > CAAC > Chapter 2 > Lesson 2.1.3 > Problem 2-30

2-30.

Read the Math Notes box for this lesson. Then evaluate each expression below.

For $y=2+3x$ when $x=4$ , what does $y$ equal?
Hint (a):
Rewrite the expression, substituting in the known variable.
Steps (a):
$y=2+3(4)$
$y=2+12$
Answer (a):
$y=14$

For $a=4−5c$ when $c=-\frac{1}{2}$ , what does $a$ equal?
Hint (b):
See part (a) for a strategy to evaluate this expression. Remember to pay attention to negative signs.
Answer (b):
$a=6.5$

For $n=3d^2−1$ when $d=−5$ , what does $n$ equal?
Hint (c):
Rewrite the expression, substituting in the known variable.
Steps (c):
$n=3(−5)^2−1$
$n=3(25)−1$
$n=75−1$
Answer (c):
$n=74$

For $v=−4(r−2)$ when $r=−1$ , what does $v$ equal?
Hint (d):
Refer to parts (a) and (c).

For $3+k=t$ when $t=14$ , what does $k$ equal?
Hint (e):
Rewrite the problem, substituting in the known variable and then rearrange the problem to make it equal to the unknown variable.

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