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Sagot :
Certainly! Let's go through each question one by one and find the correct answers.
### Question 1
La forme développée de \((x-1)^2\) est :
We need to expand the expression \((x-1)^2\).
[tex]\[ (x-1)^2 = x^2 - 2x + 1 \][/tex]
So, the correct option is \( B \).
### Question 2
Une solution de l'équation \(2x^2 + 3x - 2 = 0\) est :
This quadratic equation can be solved to find the roots. One of the solutions is \(0\).
So, the correct option is \( A \).
### Question 3
On considère la fonction \( f : x \rightarrow 3x+2 \). Un antécédent de -7 par la fonction \( f \) est :
To find the antecedent (inverse value), we solve for \(x\) when \(f(x) = -7\).
[tex]\[ -7 = 3x + 2 \implies 3x = -9 \implies x = -3 \][/tex]
So, the correct option is \( B \).
### Question 4
Lorsqu'on regarde un angle de \(18^\circ\) à la loupe de grossissement 2, on voit un angle de :
Magnifying an angle does not change its measure. The angle remains \(18^\circ\).
So, the correct option is \( C \).
### Question 5
On considère la fonction \( g : x \rightarrow x^2 + 7 \). Quelle est la formule à entrer dans la cellule B2 pour calculer \( g(-2) \) ?
To calculate \(g(-2)\):
[tex]\[ g(-2) = (-2)^2 + 7 = 4 + 7 = 11 \][/tex]
In terms of formula, it is \(=A2^2 + 7\).
So, the correct option is \( A \).
### Question 6
La valeur exacte de \(\frac{1 - (-4)}{-2 + 9}\) est :
Evaluate the fraction step by step,
[tex]\[ \frac{1 - (-4)}{-2 + 9} = \frac{1 + 4}{7} = \frac{5}{7} \][/tex]
So, the correct option is \( A \).
### Question 7
Une solution de l'équation \(x^2 - 2x - 8 = 0\) est :
Solving the quadratic equation, one of the solutions is \(4\).
So, the correct option is \( C \).
### Question 8
Un article coûte 120 €. Une fois soldé, il coûte 90 €. Quel est le pourcentage de réduction ?
Calculate the percentage reduction:
[tex]\[ \text{\% réduction} = \left(\frac{120 - 90}{120}\right) \times 100 = 25\% \][/tex]
So, the correct option is \( A \).
### Summary of Answers
1. \( B \)
2. \( A \)
3. \( B \)
4. \( C \)
5. \( A \)
6. \( A \)
7. \( C \)
8. [tex]\( A \)[/tex]
### Question 1
La forme développée de \((x-1)^2\) est :
We need to expand the expression \((x-1)^2\).
[tex]\[ (x-1)^2 = x^2 - 2x + 1 \][/tex]
So, the correct option is \( B \).
### Question 2
Une solution de l'équation \(2x^2 + 3x - 2 = 0\) est :
This quadratic equation can be solved to find the roots. One of the solutions is \(0\).
So, the correct option is \( A \).
### Question 3
On considère la fonction \( f : x \rightarrow 3x+2 \). Un antécédent de -7 par la fonction \( f \) est :
To find the antecedent (inverse value), we solve for \(x\) when \(f(x) = -7\).
[tex]\[ -7 = 3x + 2 \implies 3x = -9 \implies x = -3 \][/tex]
So, the correct option is \( B \).
### Question 4
Lorsqu'on regarde un angle de \(18^\circ\) à la loupe de grossissement 2, on voit un angle de :
Magnifying an angle does not change its measure. The angle remains \(18^\circ\).
So, the correct option is \( C \).
### Question 5
On considère la fonction \( g : x \rightarrow x^2 + 7 \). Quelle est la formule à entrer dans la cellule B2 pour calculer \( g(-2) \) ?
To calculate \(g(-2)\):
[tex]\[ g(-2) = (-2)^2 + 7 = 4 + 7 = 11 \][/tex]
In terms of formula, it is \(=A2^2 + 7\).
So, the correct option is \( A \).
### Question 6
La valeur exacte de \(\frac{1 - (-4)}{-2 + 9}\) est :
Evaluate the fraction step by step,
[tex]\[ \frac{1 - (-4)}{-2 + 9} = \frac{1 + 4}{7} = \frac{5}{7} \][/tex]
So, the correct option is \( A \).
### Question 7
Une solution de l'équation \(x^2 - 2x - 8 = 0\) est :
Solving the quadratic equation, one of the solutions is \(4\).
So, the correct option is \( C \).
### Question 8
Un article coûte 120 €. Une fois soldé, il coûte 90 €. Quel est le pourcentage de réduction ?
Calculate the percentage reduction:
[tex]\[ \text{\% réduction} = \left(\frac{120 - 90}{120}\right) \times 100 = 25\% \][/tex]
So, the correct option is \( A \).
### Summary of Answers
1. \( B \)
2. \( A \)
3. \( B \)
4. \( C \)
5. \( A \)
6. \( A \)
7. \( C \)
8. [tex]\( A \)[/tex]
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