One-Step Algebraic Equations Worksheet for practice and learning.

Here are the step-by-step solutions for each equation on the worksheet.

1) $\frac{x}{5} = -1$
To get $x$ by itself, multiply both sides by 5.
$x = -1 \times 5$
$x = -5$

2) $f + 2 = -11$
Subtract 2 from both sides to isolate $f$.
$f = -11 - 2$
$f = -13$

3) $-b + 3 = -26$
First, subtract 3 from both sides.
$-b = -26 - 3$
$-b = -29$
Multiply or divide by -1 to make $b$ positive.
$b = 29$

4) $-33 = x + 1$
Subtract 1 from both sides to isolate $x$.
$-33 - 1 = x$
$-34 = x$
So, $x = -34$

5) $8.3v = -51$
Divide both sides by 8.3 to solve for $v$.
$v = \frac{-51}{8.3}$
$v \approx -6.14$ (rounded to two decimal places)

6) $-1.8 = \frac{m}{4.4}$
Multiply both sides by 4.4 to isolate $m$.
$m = -1.8 \times 4.4$
$m = -7.92$

7) $-144 = -24y$
Divide both sides by -24 to solve for $y$.
$y = \frac{-144}{-24}$
Since a negative divided by a negative is a positive:
$y = 6$

8) $-21 + q = 8$
Add 21 to both sides to isolate $q$.
$q = 8 + 21$
$q = 29$

9) $c - 11 = -7$
Add 11 to both sides to isolate $c$.
$c = -7 + 11$
$c = 4$

10) $n - 2 = -2$
Add 2 to both sides to isolate $n$.
$n = -2 + 2$
$n = 0$

Final Answer:
1) x = -5
2) f = -13
3) b = 29
4) x = -34
5) v ≈ -6.14
6) m = -7.92
7) y = 6
8) q = 29
9) c = 4
10) n = 0