Pre-Algebra Review Worksheet | Worksheets Worksheets - Free Printable

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

1) $-4(8h - 5) = -16$
* Divide both sides by $-4$:
$$8h - 5 = 4$$
* Add $5$ to both sides:
$$8h = 9$$
* Divide by $8$:
$$h = \frac{9}{8}$$
* Convert to decimal:
$$h = 1.125$$
* Round to nearest hundredth:
$h = 1.13$

2) $8 + 6(1 + 9f) = -33$
* Subtract $8$ from both sides:
$$6(1 + 9f) = -41$$
* Divide both sides by $6$:
$$1 + 9f = -\frac{41}{6}$$
* Subtract $1$ from both sides (note that $1 = \frac{6}{6}$):
$$9f = -\frac{41}{6} - \frac{6}{6}$$
$$9f = -\frac{47}{6}$$
* Divide by $9$:
$$f = -\frac{47}{54}$$
* Convert to decimal:
$$f \approx -0.8703...$$
* Round to nearest hundredth:
$f = -0.87$

3) $3(4 + 9a) = 16$
* Divide both sides by $3$:
$$4 + 9a = \frac{16}{3}$$
* Subtract $4$ from both sides (note that $4 = \frac{12}{3}$):
$$9a = \frac{16}{3} - \frac{12}{3}$$
$$9a = \frac{4}{3}$$
* Divide by $9$:
$$a = \frac{4}{27}$$
* Convert to decimal:
$$a \approx 0.1481...$$
* Round to nearest hundredth:
$a = 0.15$

4) $-25 = 8r - 3r$
* Combine like terms on the right side ($8r - 3r = 5r$):
$$-25 = 5r$$
* Divide both sides by $5$:
$$r = -5$$
$r = -5$

5) $-3(1 + 8k) = 16$
* Divide both sides by $-3$:
$$1 + 8k = -\frac{16}{3}$$
* Subtract $1$ from both sides (note that $1 = \frac{3}{3}$):
$$8k = -\frac{16}{3} - \frac{3}{3}$$
$$8k = -\frac{19}{3}$$
* Divide by $8$:
$$k = -\frac{19}{24}$$
* Convert to decimal:
$$k \approx -0.7916...$$
* Round to nearest hundredth:
$k = -0.79$

6) $16 = 4(8b - 6)$
* Divide both sides by $4$:
$$4 = 8b - 6$$
* Add $6$ to both sides:
$$10 = 8b$$
* Divide by $8$:
$$b = \frac{10}{8} = 1.25$$
$b = 1.25$

7) $20 = -7 + 5(x - 3)$
* Add $7$ to both sides:
$$27 = 5(x - 3)$$
* Divide both sides by $5$:
$$5.4 = x - 3$$
* Add $3$ to both sides:
$$x = 8.4$$
$x = 8.4$ (or $8.40$)

8) $-7(9s - 3) = 31 - 8s$
* Distribute the $-7$ on the left side:
$$-63s + 21 = 31 - 8s$$
* Add $63s$ to both sides to group the variables:
$$21 = 31 + 55s$$
* Subtract $31$ from both sides:
$$-10 = 55s$$
* Divide by $55$:
$$s = -\frac{10}{55} = -\frac{2}{11}$$
* Convert to decimal:
$$s \approx -0.1818...$$
* Round to nearest hundredth:
$s = -0.18$

9) $-8y + 3 - 9y = 23$
* Combine like terms on the left side ($-8y - 9y = -17y$):
$$-17y + 3 = 23$$
* Subtract $3$ from both sides:
$$-17y = 20$$
* Divide by $-17$:
$$y = -\frac{20}{17}$$
* Convert to decimal:
$$y \approx -1.1764...$$
* Round to nearest hundredth:
$y = -1.18$

10) $-32 + 4d = 5(6d - 7)$
* Distribute the $5$ on the right side:
$$-32 + 4d = 30d - 35$$
* Subtract $4d$ from both sides:
$$-32 = 26d - 35$$
* Add $35$ to both sides:
$$3 = 26d$$
* Divide by $26$:
$$d = \frac{3}{26}$$
* Convert to decimal:
$$d \approx 0.1153...$$
* Round to nearest hundredth:
$d = 0.12$

Final Answer:
1) h = 1.13
2) f = -0.87
3) a = 0.15
4) r = -5
5) k = -0.79
6) b = 1.25
7) x = 8.4
8) s = -0.18
9) y = -1.18
10) d = 0.12