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1. If 2x -3y=14 and-x+2y=-8, what is the value of x + y?

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2. Which of the following is equivalent to 4a²-9+(2a-3)(a-1)+3(2a-3)

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3. For i=√-1 , which of the following is equivalent to     ?

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The “Bond Number” B4. 0 or “Eötvös Number” is a formula used in fluid dynamics that shows the importance of gravitational forces compared to surface tension forces and is used to describe the shape of a droplet moving in a surrounding fluid. To find the bond number we apply the formula     where ρ represents the density of the liquid, g represents the acceleration due to gravity, D is the diameter of the droplet, and σ is the surface
temperature. What is D in terms of B4. 0 , ρ, g, and σ?

 

 

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5. if       ,  what is the value of 6x?

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6. Questions 6 and 7 refer to the graph below.

What is the slope of the line shown in the graph?

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7. Questions 6 and 7 refer to graph below.

What is the equation of the line passing through A (1, 0.5) and perpendicular to the graphed line?

 

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8. Using the figure below, what is the circumference of the circle with center E and passing through point F?

 

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9. if    , which of the following is the greatest value of x?

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10. If 92x-1  = 3, what is the value of 2x-5?

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11. If the sum of half a number and 3 is smaller than twice the same number added to 3, which of the following could be the number?

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12. Given three consecutive even integers. If the sum of the first and three times the third is equal to 20, what is the sum of the three integers?

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13. What is the range of the function f(x) = x² + 4x – 3 ?

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14. In the figure below, AB= 7 cm, DC = 13cm and     What is the dimension of segment BC? (The figure is not drawn to scale.)

 

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15. If xy is a positive integer and xz is a negative integer, which of the following is true?

I. yz is always positive.
II. xy – xz is always positive.
III. xyz is always negative.

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16. Given  f(x)=2x²-3x+1 and  g(x)=-3x+5, what is the value of (f . g)(-2)?

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17.

Joanne is a saleswoman in a TV store. Her salary is 1,300 Egyptian pounds per month, in addition to 10 Egyptian pounds for each TV she sells if the quantity sold is less than or equal to 10 TVs per month. If she sells more
than 10 TVs in one month, she will get an extra bonus of 10% of her initial salary. Last November, she sold 12 TVs. What was her salary at the end of the month?

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18. The function h(x)= x²-ax-3 has zeros at x=3 and x=-1. what is the value of a?

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19. Using the figure below, what is the value of x?

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20. What is the abscissa of the vertex of the function f(x)=3x²-18x+4 ?

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