The document contains examples of solving various types of equations, including one-step equations, two-step equations, and equations with fractions or decimals. The examples are presented along with the step-by-step work and checks to verify the solutions. A variety of equation types are covered, including addition/subtraction equations, multiplication/division equations, and equations containing variables on both sides.

1. Mixed Practice Solving Equations Practice

2. Solve. Check. 1a. a + (-5) = 8 +5 +5 a = 13 1b. r - 9 = 13 + 9 + 9 r = 22

3. Solve. Check. 1c. y = 5 2 • 2 • 2 y = 10 1d. 3m = 9 ÷ 3 ÷3 m = 3

4. Solve. Check. 3a. s + 6 = 0 -6 -6 s = -6 3b. z - 6 = -3 + 6 + 6 z = 3

5. Solve. Check. 3c. -d = -9 3 • -3 •-3 d = 27 3d. -x = 4 ÷-1 ÷-1 x = -4

6. Solve. Check. 5a. w - 18 = 27 +18 +18 w = 45 5b. 9m = 12 ÷9 ÷9 m = 12/9 = 4/3

7. Solve. Check. 5c. s = 5 4 • 4 •4 s = 20 5d. b + 12 = 11 -12 -12 x = -1

8. Solving Two-Step Equations

9. Solve. Check. 1a. 3x - 5 = 16 +5 + 5 3x = 21 ÷3 ÷3 x = 7

10. Solve. Check. 1b. -14r - 7 = 49 +7 + 7 -14r = 56 ÷-14 ÷-14 r = -4

11. Solve. Check. 1c. 25a - 4 = 96 +4 +4 25a = 100 ÷25 ÷25 a = 4

12. Solve. Check. 1d. 60y - 7 = 173 +7 +7 60y = 180 ÷60 ÷60 y = 3

13. Solve. Check. 3a. 8a - 7 = 65 +7 +7 8a = 72 ÷8 ÷8 a = 9

14. Solve. Check. 3b. 23y + 6 = 75 -6 -6 23y = 69 ÷23 ÷23 y = 3

15. Solve. Check. 3c. 52x + 4 = -100 -4 -4 52x = -104 ÷52 ÷52 x = -2

16. Solve. Check. 3d. -6z + 15 = 3 -15 - 15 -6z = -12 ÷-6 ÷-6 z = 2