Question

1. $z = m - x$, for $x$
2. $u = x - k$, for $x$
3. $u = \frac{k}{a}$, for $a$
4. $12am = 4$, for $a$
5. $am = n + p$, for $a$
6. $a - c = d - r$, for $a$

Explanation:

Problem 3: Isolate $x$

Step1: Add $x$ to both sides

$z + x = m$

Step2: Subtract $z$ from both sides

$x = m - z$

Problem 5: Isolate $x$

Step1: Add $k$ to both sides

$x = u + k$

Problem 7: Isolate $a$

Step1: Multiply both sides by $a$

$ua = k$

Step2: Divide by $u$ ($u

eq0$)
$a = \frac{k}{u}$

Problem 9: Isolate $a$

Step1: Divide by $12m$ ($m

eq0$)
$a = \frac{4}{12m} = \frac{1}{3m}$

Problem 11: Isolate $a$

Step1: Divide by $m$ ($m

eq0$)
$a = \frac{n + p}{m}$

Problem 13: Isolate $a$

Step1: Add $c$ to both sides

$a = d - r + c$

Answer:

1. $x = m - z$
2. $x = u + k$
3. $a = \frac{k}{u}$
4. $a = \frac{1}{3m}$
5. $a = \frac{n + p}{m}$
6. $a = d - r + c$