# Worksheet: Solving Literal Equations

**Instructions:** Solve each equation for the indicated variable.

**1.** Solve for $$x$$: $$2y + 3x = 10$$

**2.** Solve for $$y$$: $$4x – 3y = 12$$

**3.** Solve for $$a$$: $$2b – 3a = 5$$

**4.** Solve for $$b$$: $$3a + 2b = 8$$

**5.** Solve for $$h$$: $$A = \frac{1}{2}bh$$

**6.** Solve for $$r$$: $$V = \frac{4}{3}\pi r^3$$

**7.** Solve for $$t$$: $$d = rt$$

**8.** Solve for $$p$$: $$A = p(1 + rt)$$

**9.** Solve for $$c$$: $$F = \frac{9}{5}C + 32$$

**10.** Solve for $$C$$: $$K = C + 273.15$$

**Remember:** To solve a literal equation, isolate the indicated variable on one side of the equation using inverse operations. Treat letters as variables just like numbers.

1. $$x = \frac{10 – 2y}{3}$$
2. $$y = \frac{4x – 12}{3}$$
3. $$a = \frac{2b – 5}{3}$$
4. $$b = \frac{8 – 3a}{2}$$
5. $$h = \frac{2A}{b}$$
6. $$r = \sqrt{\frac{3V}{4\pi}}$$
7. $$t = \frac{d}{r}$$
8. $$p = \frac{A}{1 + rt}$$
9. $$c = \frac{5}{9}(F – 32)$$
10. $$C = K – 273.15$$

Ensure that you perform the operations correctly when isolating the variable. Double-check your solutions by substituting them back into the original equations!