| Inverse Operations | ||
| #1 | x + 5 = 12 | subtract 5 from both sides: 12 - 5 = 7, x=7 |
| #2 | y - 3 = 9 | add 3 to both sides: 9 + 3 = 12, y=12 |
| #3 | 2b = 10 | divide both sides by 2: 10 / 2 = 5, b=5 |
| #4 | n / 3 = 6 | multiply both sides by 3: 6 * 3 = 18, n=18 |
| #5 | (2/3)x = 8 | multiply both sides by the reciprocal 3/2: 8 * (3/2) = 12, x=12 |
| Two-Step Equations | ||
| #1 | 2x + 3 = 15 | Subtract 3 from both sides; then divide both sides by 2; x=6 |
| #2 | 3x + 1 = 16 | Subtract 1 from both sides; then divide both sides by 3; x=5 |
| #3 | 4x - 2 = 18 | Add 2 to both sides; then divide by 4; x=5 |
| #4 | x/3 - 5 = 4 | Add 5 to both sides; then multiply both sides by 3; x = 27 |
| #5 | 5 = x/2 + 3 | Subtract 3 from both sides; then multiply both sides by 2; x=4 |
| Identify the Like Terms | ||
| #1 | 5 + x - 7 | 5 - 7 |
| #2 | 3z + 2z - 5 | 3z + 2z |
| #3 | -2y + 6 + y | -2y + y |
| #4 | n + 5 +4n - 2 | n + 4n; 5 - 2 |
| #5 | 6 + 2m - 7m + 3 | 2m - 7m; 6 + 3 |
| Combine the Like Terms | ||
| #1 | 5 + x - 7 | -2 + x |
| #2 | 3z + 2z - 5 | 5z - 5 |
| #3 | -2y + 6 + y | -y + 6 |
| #4 | n + 5 + 4n - 2 | 5n + 3 |
| #5 | 6 + 2m - 7m + 3 | -5m + 9 |
| Multi-Step Equations | ||
| #1 | 20 + g + g = 14 | 20 + 2g = 14; 2g = -6; g = -3 |
| #2 | 7 + 4x - 9 = -6 | -2 + 4x = -6; 4x = -4; x=-1 |
| #3 | t + 10 - 4t = -11 | 10 - 3t = -11; -3t = -21; t=7 |
| #4 | 8 = 8p + 13 - 3p | 8 = 5p + 13; -5 = 5p; -1=p |
| #5 | -12 = -5 - 6n +11 | -12 = 6 - 6n; -18 = -6n; 3=n |
| Final Question | |
| Three times a number plus 12 minus 5 times the same number is 22. What is the number? | 3x + 12 - 5x = 22; -2x + 12 = 22; -2x=10; x=-5 |