A2 - Calculs algébriques (exercices)
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CALCULS ALGEBRIQUES 1
Exercice 1 : Calculer les expressions suivantes = 2 (4 + 7) + 4( − 9)
= 7 (2 − 5) − 2 (2 − 3) = 8 ( + 5) − (4 − 6)
Exercice 2 : Factoriser
= ( + 2 )(2 − 4) + ( + 2)(3 + 1) = (3 + 7)(12 − 9) − (3 + 7)(5 – 4)
Exercice 3 : Calculer et donner le résultat sous forme de fractions irréductibles
= 1 3 −1
3 ×4 7 = 6
5 ÷ 1 15 −1
5 = 3 − 5 × 1
10 + 4 × 1 100 = 2
3 −3 2 ÷ 7
11 = 2 × 37
53 − 1
= 3 + 1 7 + 116 = 1 − 1
4 +3 4 ×4
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A2 - Calculs algébriques (exercices)
www.famillefutee.com
2
CORRECTION
Exercice 1 : Calculer les expressions suivantes
= 2 (4 + 7) + 4( − 9) = 8 + 14 + 4 − 36 = 12 − 22
= 7 (2 − 5) − 2 (2 − 3) = 14− 35 − 4+ 6 = 10− 29 = 8 ( + 5) − (4 − 6) = 8 + 40 − 4 + 6 = 4 + 46
Exercice 2 : Factoriser
= ( + 2 )(2 − 4) + ( + 2)(3 + 1) = ( + 2)(2 − 4) + (3 + 1) = ( + 2)(5 − 3) = (3 + 7)(12 − 9) − (3 + 7)(5 – 4) = (3 + 7)(12 − 9) − (5 − 4)
= (3 + 7)(12 − 9 − 5 + 4) = (3 + 7)(7 − 5)
Exercice 3 : Calculer et donner le résultat sous forme de fractions irréductibles
= 1 3 −1
3 ×4 7 =1
3 −1 × 4 3 × 7 =1
3 − 4 21 = 7
21 − 4 21 = 3
21 =1 × 3 7 × 3 = 1
7 = 6
5 ÷ 1 15 −1
5 = 6 5 ÷ 1
15 − 3 15 = 6
5 ÷ −2 15 =6
5 × −15
2 = −3 × 2 × 5 × 5
5 × 2 = −15 = 3 − 5 × 1
10 + 4 × 1
100 = 3 − 5 10 + 4
100 = 3 − 50 100 + 4
100 = 3 − 54 100 =300
100 − 54 100 =246
100 = 123 50 = 2
3 −3 2 ÷ 7
11 = 4 6 −9
6 ÷ 7
11 = −5 6 ÷ 7
11 = −5 6 ×11
7 = −55 42 = 2 × 37
53 − 1
= 67 53 −3
3
= 67 23
=6 7 ×3
2 = 9 7
= 3 + 1 7 + 116
= 3 + 1 11216 + 1
16
= 3 + 1 11316
= 3 + 1 × 16
113 = 3 + 16 113 =339
113 + 16
113 = 355 113 = 1 − 1
4 +3 4 ×4
5 = 1 − 1 4 +3
5 = 1 − 5 20 +12
20 = 1 −17 20 =20
20 −17 20 = 3
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