Absolute value: math exercises in 2nd grade corrected in PDF.

The absolute value of a number allows us to consider a number without taking into account its sign. More precisely, if a number x is positive, then the absolute value of x is x. However, if x is negative, then the absolute value of x is its opposite, i.e. -x. With second grade math exercises on absolute value, you will develop new skills.

Exercise series on absolute value

Exercise 1:

Solve in the following equations and inequations:

a) | 2 – x | < 4

b) | 6 – 2 x | = 3

c) | x + 2 | > 3

d) | x + 2 | < | x + 3 |

e) | x3 – 1 | + p > 0

f) 3 < | x + 2 | < 4

g) | 4 – 12 x + 9 | = 4

h) | 3 x + 1 | + | 1 – x | > 3

i) | 1 + | =2x

Exercise 2:

Calculate.

a) b) c)

d) e) f)

Exercise 3:

Without a calculator, simplify :

a) b)

c) d)

Exercise 4:

1.a) On a graduated line, place the numbers 5 and .

b) Calculate the distance between 5 and .

2. Repeat question 1. with 3 and .

3. Repeat question 1. with -1 and .

Exercise 5:

Using an absolute value, write the distance between :

a) and 2. b) and 5

c) – 5 and d) and 4

Exercise 6:

without calculator, simplify :

a) b) c)

d) e) f)

Exercise 7:

In the same way that represents the distance between the real number and 3,

express in terms of distance :

a) b)

c) d)

e) f)

Exercise 8:

Determine the set, in interval form, of real numbers verifying :

a) b) c)

Exercise 9:

Consider an interval [a ; b] with a and b two real numbers.

The center of the interval [a ; b] is the number
and radius of the interval [a ; b] the number .
Graphically, we have :

1. a) Calculate the center and radius of [2; 6].

b) Translate |x – 4| in terms of the distance between two real numbers.
c) Copy and complete:

2. In the same way, copy and complete :
a) .
b)
c)

Exercise 10:

Write an inequality verified by and using an absolute value in the following cases.

a) b) a)

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