Question

Solve each equation. Check your answers.

1. |–3x| = 18
3. |t + 5| = 8
5. |2x – 1| = 5
7. 11|x – 8| – 7 = 48
8.
Solve each equation. Check for extraneous solutions.
9. |x + 5| = 3x – 7
11. |4w + 3| – 2 = 5
13. |3x – 5| + 4 = 1
2. |5y| = 35
4. 3|z + 7| = 12
6. |4 – 2y| + 5 = 9
7. 11|x – 8| – 7 = 48

Answer 1

1. t = -13 or t = 3

3. x = -2 or x = 3

5. x = -6 or x = 6

7. x = 3 or x = 13

9. x = 6

11. w = -5/2 or w = 1

2. y = -7 or y = 7

4. z = -11 or z = -3

6. y = 0 or y = 4

Answer 2

1.)

|-3x| = 18

3x = 18

x = 6

2.)

|5y| = 35

5y = 35

y = 7

3.)

|t + 5| = 8

t + 5 = 8

t = 8 - 5

t = 3

4.)

3|z + 7| = 12

Divide by 3 from both side we get,

3|z + 7| ÷ 3= 12 ÷ 3

|z + 7| = 4

z + 7 = 4

z = 4 - 7

z = -3

5.)

|2x – 1| = 5

2x + 1 = 5

2x = 5 - 1

2x = 4

x = 2

6.)

|4 – 2y| + 5 = 9

4 + 2y + 5 = 9

2y + 9 = 9

2y = 9 - 9

2y = 0

y = 0

7.)

11|x – 8| – 7 = 48

11|x – 8| = 48 + 7

11|x – 8| = 55

Divide by 11 from both side we get,

11|x – 8| ÷ 11 = 55 ÷ 11

x – 8 = 5

x = 5 + 8

x = 13

8.)

|6x + 7/2| = 3

6x + 7/2 = 3

6x + 7 = 6

6x = 6 - 7

6x = -1

x = -1/6

9. )

|x + 5| = 3x – 7

x + 5 = 3x – 7

x - 3x = -5 -7

-2x = -12

x = 6

11.)

|4w + 3| – 2 = 5

4w + 3 – 2 = 5

4w - 1 = 5

4w = 5 + 1

4w = 6

w = 6/4

w = 3/2

13.)

|3x – 5| + 4 = 1

3x + 5 + 4 = 1

3x + 9 = 1

3x = 1 - 9

3x = -8

x = -8/3

-TheUnknownScientist