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

b) Check your solution.

5.  a) Solve the equation.   y + 5 = 13

6.  a) Solve the equation.   d – 27 = 57

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.

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

b) Check your solution.

8. a) Solve the equation.   g = 3    11     .      Answer:  _______  .

b) Check your solution.

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

b) Check your solution.

8. a) Solve the equation.   g  ‐  11= 3    5                .      Answer:  _______  .

b) Check your solution.

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.

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.

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.

5.  a) Solve the equation.   6x ‐ 32 – 11x = x ‐ 8

6.  a) Solve the equation.   4y + 2 = 3(6 – 4y)    .

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.

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.

4. Solve the formula a + b = c, for b.

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: ___________  10. Solve the formula m * a = q, for a.

Chapter 3 Homework Algebra 1

Chapter 3 Homework Algebra 1