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Mock 1 (Non-Calculator)

Duration: 90 minutes

Test sections: I- Calculator is not required, II – Calculator is required

45 Multiple Choice Questions and 13 Short Constructive Response Questions

Instructions:
– Place your answer on the answer sheet. Mark only one answer for each of the multiple
choice questions.
– Write your final result only on the answer sheet for the constructive response
questions.
– Avoid guessing. Your answers should reflect your overall understanding of the
subject matter.
– Calculator is allowed. When a calculator is used, be aware of switching between
radian mode and median mode.
– Formula sheet is available at the end of the booklet for your reference

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1. Ibrahim is x years old and Jamil is seven years younger. In five years, how old will Jamil be?

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2. Among the following ordered pairs, which one is a solution of the system

?

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3. If a salesperson receives a base pay of 800 EGP per month and a 5% commission on sales, what is the equation relating sales a and the monthly income b for this person?

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4. If (x-2)(y+3)≥0, then which of x and y could verify the inequality?

 

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5. Which of the line segments in the figure below has the largest slope?

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6. If  x+y = a+bax-by = a²-b², then x =

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7.

In the xy-plane above, line g is perpendicular to line f. What is the value of m? (the figure is not drawn to scale)

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8. If , , then , for m=

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9.

Which of the following is equivalent to the expression shown above?

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10. Questions 10 and 11 refer to the following information.

The graph above represents the curve of an increasing function f.

What is the solution of f(x) – 1.5 =0?

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11. Questions 10 and 11 refer to the following information.

The graph above represents the curve of an increasing function f.

If x approaches positive infinity, then f(x) will approach

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12. In planning maintenance for a city’s infrastructure, a civil engineer estimates that, starting from the present, the population of the city will decrease by 15% every 25 years. If the present population of the city is 40,000, which of the following expressions represents the engineer’s estimate of the population of the city t years from now?

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13. In the xy– plane, the parabola with equation y=(x-6)² intersects the line with equation y=4 at two points A and B. What is the midpoint of [AB]?

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14. In the right triangle below, what is the length of BC?

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15.

The angles shown above are acute and sin(a°) = cos( b°). If a = 2m – 11 and b = 5m + 10, what is the value of m?
(the figure is not drawn to scale)

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16.

In the right trapezoid above, what is the length of x? (the figure is not drawn to scale)

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17. 17. If 2x – 3 = 0 , what is the value of  ?

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18. x³-2x²+2x-4=0

For what real value of x is the equation above true?

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19. For what value of b does the equation ba²+2a-3=0 have a single real solution for a?

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20. If a²+b²=20 and ab=8, then what is (b-a)²?

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