Here are the solutions for the one-step equations on the worksheet.
1) $10 + c = 20$
Subtract 10 from both sides:
$c = 20 - 10$
$c = 10$
2) $6 + b = 10$
Subtract 6 from both sides:
$b = 10 - 6$
$b = 4$
3) $m - 7 = -10$
Add 7 to both sides:
$m = -10 + 7$
$m = -3$
4) $a + 11 = 22$
Subtract 11 from both sides:
$a = 22 - 11$
$a = 11$
5) $x - 50 = 20$
Add 50 to both sides:
$x = 20 + 50$
$x = 70$
6) $15 + k = 25$
Subtract 15 from both sides:
$k = 25 - 15$
$k = 10$
7) $r - 18 = 30$
Add 18 to both sides:
$r = 30 + 18$
$r = 48$
8) $f - 18 = 34$
Add 18 to both sides:
$f = 34 + 18$
$f = 52$
9) $y - 17 = 55$
Add 17 to both sides:
$y = 55 + 17$
$y = 72$
10) $17 + k = 88$
Subtract 17 from both sides:
$k = 88 - 17$
$k = 71$
11) $\frac{y}{3} = 12$
Multiply both sides by 3:
$y = 12 \times 3$
$y = 36$
12) $9s = 81$
Divide both sides by 9:
$s = \frac{81}{9}$
$s = 9$
13) $4h = 16$
Divide both sides by 4:
$h = \frac{16}{4}$
$h = 4$
14) $13 = \frac{p}{3}$
Multiply both sides by 3:
$p = 13 \times 3$
$p = 39$
15) $14 = 2c$
Divide both sides by 2:
$c = \frac{14}{2}$
$c = 7$
16) $\frac{f}{4} = 16$
Multiply both sides by 4:
$f = 16 \times 4$
$f = 64$
17) $7 = \frac{p}{3}$
Multiply both sides by 3:
$p = 7 \times 3$
$p = 21$
18) $10 = \frac{y}{5}$
Multiply both sides by 5:
$y = 10 \times 5$
$y = 50$
Final Answer:
1) c = 10
2) b = 4
3) m = -3
4) a = 11
5) x = 70
6) k = 10
7) r = 48
8) f = 52
9) y = 72
10) k = 71
11) y = 36
12) s = 9
13) h = 4
14) p = 39
15) c = 7
16) f = 64
17) p = 21
18) y = 50
Parent Tip: Review the logic above to help your child master the concept of one step linear equations worksheet.