7th Grade Math Notes
The last lesson we completed at school was Lesson 6-4, Solving Two-Step Equations. Let's Review.
To solve any equation that involves a variable the goal is to:
Isolate the variable.
The golden rule of solving equations is:
What you do to one side of the equation you must do to the other.
Solving a Two-Step Equation:
1. Undo the addition or subtraction.
2. Undo the multiplication or division.
Watch the following video and then complete the homework that follows: https://www.youtube.com/watch?v=zRrf3Q9nntw
Lesson 4 Skills Practice
Solve Two-Step Equations
Solve each equation. Check your solution.
1. 2x + 1 = 9 2. 5b + 2 = 17
3. 3w + 5 = 23 4. n + 1 = –25
5. 4t – 2 = 14 6. 7k – 3 = 32
7. 8x – 1 = 63 8. 2x – 5 = 15
9. 2 + a = –4 10. 9 + 4b = 17
11. 2p + 14 = 0
13. w + 5 = 4 14. 8x + 7 = –9
15. 5d – 1 = –11 16. 4d – 35 = –3
17. 11x – 24 = –2 18. 15a – 54 = –9
19. 3g – 49 = –7 20. x – 7 = 18
21. –9d – 1 = 17 22. f + 1 = –13
23. –5b + 24 = –1 24. –6x + 4 = –2
To solve any equation that involves a variable the goal is to:
Isolate the variable.
The golden rule of solving equations is:
What you do to one side of the equation you must do to the other.
Solving a Two-Step Equation:
1. Undo the addition or subtraction.
2. Undo the multiplication or division.
Watch the following video and then complete the homework that follows: https://www.youtube.com/watch?v=zRrf3Q9nntw
Lesson 4 Skills Practice
Solve Two-Step Equations
Solve each equation. Check your solution.
1. 2x + 1 = 9 2. 5b + 2 = 17
3. 3w + 5 = 23 4. n + 1 = –25
5. 4t – 2 = 14 6. 7k – 3 = 32
7. 8x – 1 = 63 8. 2x – 5 = 15
9. 2 + a = –4 10. 9 + 4b = 17
11. 2p + 14 = 0
13. w + 5 = 4 14. 8x + 7 = –9
15. 5d – 1 = –11 16. 4d – 35 = –3
17. 11x – 24 = –2 18. 15a – 54 = –9
19. 3g – 49 = –7 20. x – 7 = 18
21. –9d – 1 = 17 22. f + 1 = –13
23. –5b + 24 = –1 24. –6x + 4 = –2
Tuesday April 7, 2020
Lesson 6-5 More Two-Step Equations
Sometimes Two-Step Equations will include a set of parenthesis. If you encounter a 2-step equation that has a set of parenthesis you should first clear the parenthesis by using the Distributive Property, then complete the 2-step equation.
Watch the following video and then complete the homework that follows: https://www.youtube.com/watch?v=f7fDseHX3xk
Lesson 5 Skills Practice
More Two-Step Equations
Solve each equation. Check your solution.
1. 3(x + 5) = 39 2. 7(x + 8) = 49
3. –5(x – 6) = 15 4. 10(x – 5) = –80
5. 4(x + 9) = 20 6. 6(x + 12) = –42
7. (x + 13) = 8 8. (x + 8) = 18
9. (x – 9) = –4 10. (x – 2) = 15
11. 1.5(x + 7) = 11.25 12. 4.5(x – 9) = –13.5
Lesson 6-5 More Two-Step Equations
Sometimes Two-Step Equations will include a set of parenthesis. If you encounter a 2-step equation that has a set of parenthesis you should first clear the parenthesis by using the Distributive Property, then complete the 2-step equation.
Watch the following video and then complete the homework that follows: https://www.youtube.com/watch?v=f7fDseHX3xk
Lesson 5 Skills Practice
More Two-Step Equations
Solve each equation. Check your solution.
1. 3(x + 5) = 39 2. 7(x + 8) = 49
3. –5(x – 6) = 15 4. 10(x – 5) = –80
5. 4(x + 9) = 20 6. 6(x + 12) = –42
7. (x + 13) = 8 8. (x + 8) = 18
9. (x – 9) = –4 10. (x – 2) = 15
11. 1.5(x + 7) = 11.25 12. 4.5(x – 9) = –13.5
Wednesday April 8, 2020
More on Lesson 6-5
Lesson 5 Extra Practice
More Two-Step Equations
Solve each equation. Check your solution.
1. 2(x + 4) = 22 2. 3(x - 4) = 18 3. (-10 + x)2 = 30
4. (x - 12)4 = 36 5. (x - 4) = -8 6. (x + 7) = 6
7. 5(x - 4) = 75 8. 2(x + 12) = 12 9. 24 = 6(x + 2)
10. 3(x - 15) = 72 11. (18 + x)2 = 30 12. (11 + x) = 27
13. 8(x + 12) = 64 14. 9(x - 4) = -36 15. -4(x - 9) = 32
16. 3(x - 7) = -18 17. 5(x + 12) = 20 18. 6(x + 24) = 42
More on Lesson 6-5
Lesson 5 Extra Practice
More Two-Step Equations
Solve each equation. Check your solution.
1. 2(x + 4) = 22 2. 3(x - 4) = 18 3. (-10 + x)2 = 30
4. (x - 12)4 = 36 5. (x - 4) = -8 6. (x + 7) = 6
7. 5(x - 4) = 75 8. 2(x + 12) = 12 9. 24 = 6(x + 2)
10. 3(x - 15) = 72 11. (18 + x)2 = 30 12. (11 + x) = 27
13. 8(x + 12) = 64 14. 9(x - 4) = -36 15. -4(x - 9) = 32
16. 3(x - 7) = -18 17. 5(x + 12) = 20 18. 6(x + 24) = 42
Thursday April 9, 2020
Mid-Chapter Check
Chapter Quiz
Solve each equation. Check your solution.
1. t + 7 = 5
2. a – 3 = 9
3. –4 = p – 6
4. y + 19 = 26
5. 3x = –12
6. 20 = 4n
7. 2.1d = 51.24
10. 3y + 8 = 14
11. 2m – 5 = 17
12. 3x – 2.6 = x + 8.2
13. PLUMBER Abe, a plumber, charges $50 per hour plus $75 for making an in–home visit. The Plumbing Service charges $65 per hour but no set fee for a visit. How many hours of plumbing work are needed for each to cost the same?
14. BROWNIES Lauren brings brownies to class one day. She gives of them to her friends Gareth, Tammy, and Camilla. If she gave them 21 brownies, how many did she bring to class?
Mid-Chapter Check
Chapter Quiz
Solve each equation. Check your solution.
1. t + 7 = 5
2. a – 3 = 9
3. –4 = p – 6
4. y + 19 = 26
5. 3x = –12
6. 20 = 4n
7. 2.1d = 51.24
10. 3y + 8 = 14
11. 2m – 5 = 17
12. 3x – 2.6 = x + 8.2
13. PLUMBER Abe, a plumber, charges $50 per hour plus $75 for making an in–home visit. The Plumbing Service charges $65 per hour but no set fee for a visit. How many hours of plumbing work are needed for each to cost the same?
14. BROWNIES Lauren brings brownies to class one day. She gives of them to her friends Gareth, Tammy, and Camilla. If she gave them 21 brownies, how many did she bring to class?
Friday April 10, 2020
Solve each equation. Check your solution.
1. x + 7 = 12
2. x + 9 = 2
3. x – 4 = 5
4. 36 = 9x
5. –3a = 15
6. = –7
7. 12 = 0.3n
9. 4x + 6 = 10
10. 3x – 10 = 5x + 20
Solve each equation. Check your solution.
1. x + 7 = 12
2. x + 9 = 2
3. x – 4 = 5
4. 36 = 9x
5. –3a = 15
6. = –7
7. 12 = 0.3n
9. 4x + 6 = 10
10. 3x – 10 = 5x + 20