Solving Two-Step Equations worksheet for Level 1, including examples and practice equations.

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

1) $3x - 7 = 26$
* Add 7 to both sides: $3x = 33$
* Divide by 3: $x = 11$

2) $9f + 5 = 77$
* Subtract 5 from both sides: $9f = 72$
* Divide by 9: $f = 8$

3) $2k + 20 = 40$
* Subtract 20 from both sides: $2k = 20$
* Divide by 2: $k = 10$

4) $6c - 4 = 38$
* Add 4 to both sides: $6c = 42$
* Divide by 6: $c = 7$

5) $10h + 58 = -2$
* Subtract 58 from both sides: $10h = -60$
* Divide by 10: $h = -6$

6) $-4d + 17 = 65$
* Subtract 17 from both sides: $-4d = 48$
* Divide by -4: $d = -12$

7) $8m + 11 = -53$
* Subtract 11 from both sides: $8m = -64$
* Divide by 8: $m = -8$

8) $5z - 1.75 = 0.25$
* Add 1.75 to both sides: $5z = 2$
* Divide by 5: $z = 0.4$

9) $\frac{1}{3}n + 40 = 55$
* Subtract 40 from both sides: $\frac{1}{3}n = 15$
* Multiply by 3: $n = 45$

10) $-\frac{1}{4}c + 5 = 20$
* Subtract 5 from both sides: $-\frac{1}{4}c = 15$
* Multiply by -4: $c = -60$

11) $4.8g - 9 = 33$
* Add 9 to both sides: $4.8g = 42$
* Divide by 4.8: $g = 8.75$

12) $\frac{1}{2}p + 22 = 18$
* Subtract 22 from both sides: $\frac{1}{2}p = -4$
* Multiply by 2: $p = -8$

13) $1.2y + 0.52 = 7$
* Subtract 0.52 from both sides: $1.2y = 6.48$
* Divide by 1.2: $y = 5.4$

14) $2.5r + 24 = 14$
* Subtract 24 from both sides: $2.5r = -10$
* Divide by 2.5: $r = -4$

15) $5(\frac{1}{2}j) = \frac{1}{6}$
* Simplify the left side ($\frac{5}{2}j$): $\frac{5}{2}j = \frac{1}{6}$
* Multiply both sides by 2: $5j = \frac{2}{6}$ (which simplifies to $\frac{1}{3}$)
* Divide by 5: $j = \frac{1}{15}$

Final Answer:
x = 11, f = 8, k = 10, c = 7, h = -6, d = -12, m = -8, z = 0.4, n = 45, c = -60, g = 8.75, p = -8, y = 5.4, r = -4, j = 1/15