Question

one step equations worksheet
solve for the unknown variable.
1 ( x + 12 = -4 )
2 ( r - 2 = 7 )
3 ( -16 = \frac{p}{-4} )
4 ( \frac{f}{3} = -8 )
5 ( 9x = 81 )
6 ( t - 22 = 4 )
7 ( -3 + g = -10 )
8 ( 5 = k - 8 )
9 ( h + 9 = -12 )
10 ( 44 = 4k )

Explanation:

Step1: Isolate x by subtracting 12

$x + 12 - 12 = -4 - 12$
$x = -16$

Step2: Isolate r by adding 2

$r - 2 + 2 = 7 + 2$
$r = 9$

Step3: Isolate p by multiplying by -4

$-16 \times (-4) = \frac{p}{-4} \times (-4)$
$p = 64$

Step4: Isolate f by multiplying by 3

$\frac{f}{3} \times 3 = -8 \times 3$
$f = -24$

Step5: Isolate x by dividing by 9

$\frac{9x}{9} = \frac{81}{9}$
$x = 9$

Step6: Isolate t by adding 22

$t - 22 + 22 = 4 + 22$
$t = 26$

Step7: Isolate g by adding 3

$-3 + g + 3 = -10 + 3$
$g = -7$

Step8: Isolate k by adding 8

$5 + 8 = k - 8 + 8$
$k = 13$

Step9: Isolate h by subtracting 9

$h + 9 - 9 = -12 - 9$
$h = -21$

Step10: Isolate k by dividing by 4

$\frac{44}{4} = \frac{4k}{4}$
$k = 11$

Answer:

1. $x = -16$
2. $r = 9$
3. $p = 64$
4. $f = -24$
5. $x = 9$
6. $t = 26$
7. $g = -7$
8. $k = 13$
9. $h = -21$
10. $k = 11$