11­00­2 Combining Like Terms with Variables on both Sides.notebook
April 04, 2014
Solve each equation. Show all of your work.
7. 3f ­ 4 = f + 10
8. 7c + 4 = 2c ­ 11
11­00­2 Combining Like Terms with Variables on both Sides.notebook
April 04, 2014
Solve each equation. Show all of your work.
9. 6 + 2h = 5h + 9
10. ­7k ­ 6 = 13k + 4
11­00­2 Combining Like Terms with Variables on both Sides.notebook
April 04, 2014
Solve each equation. Show all of your work.
11. 14m + 6 = ­2m ­ 2
12. ­3j ­ 2 = ­9 ­ 4j
11­00­2 Combining Like Terms with Variables on both Sides.notebook
1. 7x ­ 24 = 15x
April 04, 2014
2. 9x + 7 = 12x
11­00­2 Combining Like Terms with Variables on both Sides.notebook
3. x = 2x ­ 10
April 04, 2014
4. 5c ­ 18 = 8c
11­00­2 Combining Like Terms with Variables on both Sides.notebook
5. 15x + 25 = 18x ­ 10
April 04, 2014
6. 5 + 2d = 8 + 5d
11­00­2 Combining Like Terms with Variables on both Sides.notebook
7. 4y ­ 6 = 19 + 9y
April 04, 2014
8. 8g + 12 = 6g
11­00­2 Combining Like Terms with Variables on both Sides.notebook
9. 2x + 16 = 3x ­ 12
April 04, 2014
10. 25b + 200 = 50b + 50
11­00­2 Combining Like Terms with Variables on both Sides.notebook
Combining Like Terms with
Variables on both Sides
April 04, 2014
11­00­2 Combining Like Terms with Variables on both Sides.notebook
April 04, 2014
Identifying Like Terms
Like Terms ­ the same variables raised to the same power
**numbers do not matter
7x
10a
6rs
3y2
28a
8y2
2x
9rs
11­00­2 Combining Like Terms with Variables on both Sides.notebook
April 04, 2014
Unlike Terms ­ different variables raised to different powers
4 & 13x
3r & -3rs
2y2 & 4y3
11­00­2 Combining Like Terms with Variables on both Sides.notebook
Combining Like Terms
To combine like terms, add/subtract the coefficients of LIKE TERMS.
Ex:
5p + 6p
4cd ­ 2cd
April 04, 2014
11­00­2 Combining Like Terms with Variables on both Sides.notebook
Combine like terms.
1. 4x – 3x – 1 = ____________
2. y + 6y ­ 2y = ___________
3. w + 9w ­ 4 = ____________
4.
= ___________________
5. 5p + 4p ­ 18pr = _____________
April 04, 2014
11­00­2 Combining Like Terms with Variables on both Sides.notebook
April 04, 2014
Combine like terms.
11. = ___________________
12. 1y + 6y ­ 2y = _____________
13. 14. 15. ___________________
___________________
___________________
11­00­2 Combining Like Terms with Variables on both Sides.notebook
April 04, 2014
Recall Combining Like Terms
1. 2x – y + 2x + 5y 3. 3h +4m +7h ­6 – 4m +3 2. 4ab + 7a – 3b – 10ab
11­00­2 Combining Like Terms with Variables on both Sides.notebook
Solving Equations
STEPS:
1. Combine like terms.
2. Solve for variable.
Ex: 4 + 3g = 16
April 04, 2014
11­00­2 Combining Like Terms with Variables on both Sides.notebook
Solve for the variable.
1. 7t ­ 3 + 4t = ­25
April 04, 2014
11­00­2 Combining Like Terms with Variables on both Sides.notebook
Solve for the variable.
2. 3x = 20 – 2x – 2 – x
April 04, 2014
11­00­2 Combining Like Terms with Variables on both Sides.notebook
Solve for the variable.
3. 9 – 2w = 2w – 3 + 3w – 9
April 04, 2014
11­00­2 Combining Like Terms with Variables on both Sides.notebook
Solve for the variable.
4. ­1 + 2x – 1 = 8x + 2 – 2x
April 04, 2014
11­00­2 Combining Like Terms with Variables on both Sides.notebook
April 04, 2014
Solve for the variable.
5. b + 2 – 10b = ­3b – 4 – 6
6. 8x – 3 – 3 = 3x + 15 – 2x 11­00­2 Combining Like Terms with Variables on both Sides.notebook
April 04, 2014
Solve for the variable.
7. 5 – 3m – 7 = 5m – 9 – 9m
8. 11a + 5 + 8a = 14a – 25
11­00­2 Combining Like Terms with Variables on both Sides.notebook
April 04, 2014
Solve for the variable.
9. 6c + 20 – c = 3c + 2 + 5c
10. 6w + 5w = 19 – w + 2 + 9w
11­00­2 Combining Like Terms with Variables on both Sides.notebook
April 04, 2014
Solve for the variable.
11. ­j + 3j +2 = ­14
12. 4y – 5 +2y = 6y + 40 +7y
11­00­2 Combining Like Terms with Variables on both Sides.notebook
April 04, 2014
Solve for the variable.
1. 3m ­ 8 = 5m + 8
4. 4h + 10 = 2h ­ 22
2. ­t + 9 = t + 5
5. ­ r ­ 3 = 1 ­ 3r
3. 7y ­ 7 = 5y + 13
6. 17 + p = 7p ­ 13
11­00­2 Combining Like Terms with Variables on both Sides.notebook
April 04, 2014
Solve for the variable.
7. 4x – 7 = 2x + 7
10. ­8t = 27 + t
8. 23b + 9 = 4b + 66
11. 13y ­ 26 = 7y + 22
9. ­4g + 12 = g + 2
12. 4n ­ 6 = 6n + 14
11­00­2 Combining Like Terms with Variables on both Sides.notebook
Solve for the variable.
13. e + 8 = 2e ­ 12
14. 9w + 6 = 6w ­ 15
April 04, 2014
11­00­2 Combining Like Terms with Variables on both Sides.notebook
April 04, 2014