# ABSOLUTE VALUE OF INTEGERS WORKSHEET

Problem 1 :

Find the absolute value of the integer -9.

Problem 2 :

Find the absolute value of the integer 9.

Problem 3 :

Find the absolute value of (-17 + 8).

Problem 4 :

Find the absolute value of (28 - 13).

Problem 5 :

If |x| is an integer between 0 and 3, then, find all possible values of x.

Problem 6 :

If |2x - 1| is an integer between 3 and 6, then, find all possible values of x.

Problem 7 :

Solve for x :

|3x + 5|  =  7

Problem 8 :

Solve for x :

|7x|  =  21

Problem 9 :

Solve for x :

2|3x +4|  =  8

Problem 10 :

Solve for x :

3|5x - 6| - 4  =  5 Problem 1 :

Find the absolute value of the integer -9.

Solution :

|-9|  =  9

Problem 2 :

Find the absolute value of the integer 9.

Solution :

|9|  =  9

Problem 3 :

Find the absolute value of (-17 + 8).

Solution :

|-17 + 8|  =  |-9|

|-17 + 8|  =  9

Problem 4 :

Find the absolute value of (28 - 13).

Solution :

|28 - 13|  =  |15|

|28 - 13|  =  15

Problem 5 :

If |x| is an integer between 0 and 3, then, find all possible values of x.

Solution :

Given : |x| is an integer between 0 and 3.

Then, we have

|x|  =  1  and  |x|  =  2

Solve for x in |x|  =  1.

 x  =  1 x  =  -1

Solve for x in |x|  =  2.

 x  =  2 x  =  -2

So, the possible values of x are

-2, -1, 1, 2

Problem 6 :

If |2x - 1| is an integer between 3 and 6, then, find all possible values of x.

Solution :

Given : |2x - 1| is an integer between 3 and 6.

Then, we have

|2x - 1|  =  4  and  |2x - 1|  =  5

Solve for x in |2x - 1|  =  4.

 2x - 1  =  42x  =  5x  =  5/2 2x - 1  =  -42x  =  -3x  =  -3/2

Solve for x in |2x - 1|  =  5.

 2x - 1  =  52x  =  6x  =  3 2x - 1  =  -52x  =  -4x  =  -2

So, the possible values of x are

-2, -3/2, 5/2, 3

Problem 7 :

Solve for x :

|3x + 5|  =  7

Solution :

|3x + 5|  =  7

The expression inside the absolute value can be either positive or negative.

Then, we have

 3x + 5  =  73x  =  2x  =  2/3 3x + 5  =  -73x  =  -12x  =  -4

So, the values of x are

-4, 2/3

Problem 8 :

Solve for x :

|7x|  =  21

Solution :

|7x|  =  21

The expression inside the absolute value can be either positive or negative.

Then, we have

 7x  =  21x  =  3 7x  =  -21x  =  -3

So, the values of x are

-3, 3

Problem 9 :

Solve for x :

2|3x +4|  =  8

Solution :

2|3x +4|  =  7

Divide each side by 2.

|3x + 4|  =  4

The expression inside the absolute value can be either positive or negative.

Then, we have

 3x + 4  =  43x  =  0x  =  0 3x + 4  =  -43x  =  -8x  =  -8/3

So, the values of x are

-8/3, 0

Problem 10 :

Solve for x :

3|5x - 6| - 4  =  5

Solution :

3|5x - 6| - 4  =  5

3|5x - 6|  =  9

Divide each side by 3.

|5x - 6|  =  3

 5x - 6  =  35x  =  9x  =  9/5 5x - 6  =  -35x  =  3x  =  3/5

So, the values of x are

3/5, 9/5 Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

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