Name: ___________________________________ 3.1 Solving Equations by Adding and Subtracting Homework 1. a) Solve the equation. 2. a) Solve the equation. a – 16 = 15 m + 36 =54 +16 | +16 a +0 | 31 a = 31
‐ 36 | ‐36 m +0 | 18 a = 18
Answer: a = 31 . Answer: a = 18 . b) Check your solution. b) Check your solution. a – 16 =15 m + 36 = 54 31 – 16 = 15 18 + 36 = 54 15 = 15 correct! 54 = 54 correct!
3. a) Solve the equation. 16 + b = 35
4. a) Solve the equation. v – 13 = 26
Answer_________. b) Check your solution.
Answer: _______ .
b) Check your solution.
5. a) Solve the equation. y + 5 = 13
6. a) Solve the equation. d – 27 = 57
Answer: _______ .
Answer: _______ .
b) Check your solution.
b) Check your solution.
7. a) Solve the equation. f – 40 = 106
8. a) Solve the equation. g + 33 = 46
Answer: _______ . b) Check your solution.
Answer: _______ . b) Check your solution.
9. Explain using sentences, how to solve and check x + 7 = 10.
Name: ___________________________________ 3.2 Solving Equations by Multiplying and Dividing Homework 1. a) Solve the equation. 2. a) Solve the equation. 4a = 20 6 * m = 6 * 6 4 4 6 . 1a = 5
m = 6 * 6 m=36
Answer: a = 5 . b) Check your solution. 4a = 20 4 (5) = 20 20 = 20 correct!
3. a) Solve the equation. 7b = 35
Answer: m = 36 . b) Check your solution.
m= 6 6 . 36/ = 6 6 6 = 6 correct! 4. a) Solve the equation. v = 26 2 .
Answer_________. b) Check your solution.
Answer: _______ . b) Check your solution.
5. a) Solve the equation. 3y = 15
6. a) Solve the equation. d = 9 3 . Answer: _______ .
b) Check your solution.
7. a) Solve the equation. 26f = 104
Answer: _______ .
b) Check your solution.
8. a) Solve the equation. g = 3 11 . Answer: _______ .
b) Check your solution.
Answer: _______ .
b) Check your solution.
9. Explain using sentences, how to solve and check 3x = 42.
3.3 Solving Two‐ Step Equations Homework 1. a) Solve the equation. 4a + 7= 27 ‐7 | ‐7 4a = 20 4 | 4 a = 5
Name: ___________________________________
1. a) Solve the equation. a + 7= 27 4 . ‐7 | ‐7 a = 20 4 * * 4 4 Answer: a = 5 . a = 80
b) Check your solution. 4a + 7= 27 4 (5) + 7= 27 20 + 7 = 27 27 = 27 correct!
3. a) Solve the equation. 7b – 13 = 8
Answer: a = 80 . b) Check your solution. a + 7 =27 4 . 80/4 +7 = 27 20 +7 = 27 27 = 27 correct!
4. a) Solve the equation. v + 10 = 26 3 . Answer_________.
b) Check your solution.
Answer: _______ . b) Check your solution.
5. a) Solve the equation. 3y + 5 = 32
6. a) Solve the equation. d + 23 = 25 3 . Answer: _______ .
b) Check your solution.
7. a) Solve the equation. 6f ‐ 20 = 4
Answer: _______ .
b) Check your solution.
8. a) Solve the equation. g ‐ 11= 3 5 . Answer: _______ .
b) Check your solution.
Answer: _______ .
b) Check your solution.
3.4 Solving Multistep Equations Homework 1. a) Solve the equation. 4x + 3 = 5x 4
Name: ___________________________________ 2. a) Solve the equation. 5y – 10 = 14 – 3y
‐4x | ‐4x . 3 = x – 4 +4 | +4 7 = x
+3y | +3y 8y – 10 = 14 +10 | +10 8y = 24 8 8 y = 3 Answer: x = 7 . 4 * * 4 Answer: y = 3 b) Check your solution. b) Check your solution. 4x + 3 = 5x ‐4 5y – 10 = 14 – 3y 4(7) + 3 = 5(7) ‐ 4 5(3) – 10 = 14 – 3(3) 28 + 3 = 35 – 4 15 – 10 = 14 – 9 31 = 31 correct! 5 = 5 correct!
3. a) Solve the equation. 12 – 6z = 10 – 5z
4. a) Solve the equation. 6p – 12 = ‐4p + 18 . Answer_________.
b) Check your solution.
Answer: _______ .
b) Check your solution.
5. a) Solve the equation. 5h – 7 = 2h + 2
6. a) Solve the equation. 10x – 4 = 5x + 11 . Answer: _______ .
b) Check your solution.
Answer: _______ .
b) Check your solution.
3.5 Using the Distributive Property Homework 1. a) Solve the equation. 4n – 2 + 7n =20 combine like terms 11n – 2 = 20 +2 | +2 11n = 22 11 11 n = 2
Name: ___________________________________ 2. a) Solve the equation. 3(r 4) = 9
distribute 3*r – 3*4 = 9 3r – 12 = 9 +12 |+12 3r = 21 3 3 Answer: n = 2 . r = 7
b) Check your solution. 4n – 2 + 7n = 20 4(2) – 2 + 7(2) = 20 8 – 2 +14 = 20 6 + 14 = 20 20 = 20 correct!
3. a) Solve the equation. 9y – 8 + 4y = 7y + 16
Answer: r = 7 . b) Check your solution. 3(r – 4) = 9 3(7 – 4) = 9 3(3) = 9 9 = 9 correct
4. a) Solve the equation. 4 * * 4 2(x + 1) = 3x ‐ 3 .
Answer_________. b) Check your solution.
Answer: _______ . b) Check your solution.
5. a) Solve the equation. 6x ‐ 32 – 11x = x ‐ 8
6. a) Solve the equation. 4y + 2 = 3(6 – 4y) .
Answer: _______ .
Answer: _______ .
b) Check your solution.
b) Check your solution.
7. a) Solve the equation. ‐m + 12 = 5m ‐4 – 8m
8. a) Solve the equation. 2m – 4 = 2(6 – 7m) .
Answer: _______ . b) Check your solution.
Answer: _______ .
b) Check your solution.
Name: ___________________________________ 3.6 Using Formulas and Literal Equations Homework 1. Solve the formula T + M = R, for T. 2. Solve the formula T + M = R, for M. T + M = R T + M = R ‐M |‐M ‐T |‐T T = R ‐ M M = R ‐ T Answer:__T = R ‐ M.
3. Solve the formula a + b = c, for a.
Answer:__M = R ‐ T
4. Solve the formula a + b = c, for b.
Answer: ___________
5. Solve the formula c = a ‐ b, for b.
Answer: ___________ 6. Solve the formula c = a ‐ b, for a.
Answer: ___________ 7. Solve the formula A=l*w, for l.
Answer: ___________ 8. Solve the formula A=l*w, for w. T + M = R ‐T |‐T M = R ‐ T
Answer: ___________ 9. Solve the formula m * a = q, for m.
Answer: ___________
Answer: ___________ 10. Solve the formula m * a = q, for a.
Answer: ___________