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1. Which of the following is a point of intersection between the line with equation y = 3x+9 and the parabola with the equation y=2x²+3x+1

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2. In his SAT Math practice test, Hamad solved 80% of the first section correctly, which included 20 questions. In the second section that included 38 questions,  of the questions were solved correctly. How many questions were correct in Hamad’s test?

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3. -2x+5y=39

3x=-4y+45

From the system of equations above, what is the value of 2x + 7y?

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4. Questions 4, 5, and 6 refer to the information below.

Adam and his fiancée worked as freelance graphic designers all year long during 2019 to save money for their wedding and to buy furniture for their home. Their mixed salary each month, in thousands of dollars, is shown in the graph above.

 

During September, Adam worked 15 hours per day, while his fiancée worked 11 hours per day. Knowing that each one of them took 4 days off that month, and his fiancée was getting paid $10.7 per hour, how much was Adam approximately getting paid per hour?

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5. Questions 4, 5, and 6 refer to the information below.

Adam and his fiancée worked as freelance graphic designers all year long during 2019 to save money for their wedding and to buy furniture for their home. Their mixed salary each month, in thousands of dollars, is shown in the graph above.

 

In which quarter of the year did they get the smallest income?

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6. Questions 4, 5, and 6 refer to the information below.

Adam and his fiancée worked as freelance graphic designers all year long during 2019 to save money for their wedding and to buy furniture for their home. Their mixed salary each month, in thousands of dollars, is shown in the graph above.

 

What is the percentage of May’s income out of their total annual income?

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7. A company lost 20% of their stock the first year, then 26% the second year. In the third year, their stock increased by 30%. Which of the following statements is true?

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8. What is the sum of the solutions of (a-1)(a²+8a+15)=0?

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9.

Tanta University is an Egyptian university located in Tanta, Egypt. Since 1962, the administration was developed and was able to create more than 10 faculties. Statistics show, in an old release, that 3,636 students attend the Faculty of
Medicine, and the ratio of female students to male students is 11:25. How many male students are attending the faculty?

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10. What is the x-intercept of the line passing through points (3,5) and (4,-2)?

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11. if       and    , what is the value of  f [g(3)] – f(2)?

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12. What is the product of the solutions of 2x4 = 4x²+6?

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13.

Petra registered in an online magazine for a monthly fee of $15. However, to read premium articles, she has to pay an extra charge of $0.3 per article. Which of the following represents the total amount Petra is going to pay per
month if she reads premium articles?

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14. What is the area of the shaded region in the figure below?

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15. ABCD is a parallelogram such that A(1,2) ,  B(4,4) , C(6,1 )  , and D(3,-1) What are the coordinates of E, the center of the parallelogram?

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16. What is the inverse function of     ?

 

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17. Questions 17, 18, and 19 refer to the information below.

 

Gold is one of the most important items in the world. Its price increases and decreases every day. The average closing price for the past 8 years is shown in the table below.

year Average closing price ($)
2020 1771.9
2019 1393.34
2018 1268.93
2017 1251.92
2016 1158.86
2015 1266.06
2014 1409.51
2013 1668.86

 

What is the mean of the average closing price of the last 5 years according to the given table?

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18. Questions 17, 18, and 19 refer to the information below.

Gold is one of the most important items in the world. Its price increases and decreases every day. The average closing price for the past 8 years is shown in the table below.

year Average closing price ($)
2020 1771.9
2019 1393.34
2018 1268.93
2017 1251.92
2016 1158.86
2015 1266.06
2014 1409.51
2013 1668.86

 

Which of the following statements is true when comparing the annual percentage change from 2018 to 2020?

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19. Questions 17, 18, and 19 refer to the information below.

 

Gold is one of the most important items in the world. Its price increases and decreases every day. The average closing price for the past 8 years is shown in the table below.

 

year Average closing price ($)
2020 1771.9
2019 1393.34
2018 1268.93
2017 1251.92
2016 1158.86
2015 1266.06
2014 1409.51
2013 1668.86

 

Supposing that the relation is linear, what is the rate of change between years 2013 and 2019 ?

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20. Raymond went to the bookstore and bought 8 greeting cards to send them to his friends. However, he decided to send cards to only 5 of his friends. In how many ways can this be done?

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21. In 2011, the population in Cairo was 9.12 million. Considering the population was increasing by 1% each year, what could be the approximate population in Cairo in 2022?

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22. What are the values of a and b if f(x)=(2a-3)x² + bx-1  is equivalent to g(x)=(4a+3)x² + (3-b) x-1 ?

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23. if   ,what is the value of     ?

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24. Acceleration is a vector quantity that represents the rate of change of velocity over time. In physics, when the velocity of an object is changing, it means the object is either accelerating or decelerating. The formula used to find the velocity v of an object is    and that of the acceleration is , where ∆r is the displacement vector (change in position), ∆v is the change in velocity vector, and ∆t is the change in time of the object.

Which of the following statements is true regarding the given formula?

 

I. If ∆r increases and ∆t decreases, the acceleration will increase.
II. If ∆r decreases and ∆t increases, the acceleration will increase.
III. If ∆r decreases and ∆t increases, the acceleration will decrease.

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25.

-3<2x-y≤14 Which point could be the solution for the inequality above?

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26. for what values of x is       undefined?

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27. if    ,which of the following is correct?

 

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28. Questions 28, 29, and 30 refer to the information below.

A football club published on its website the number of entrance tickets sold in 2018 and in 2019.

Average number of
tickets sold at the
entrance door per
game
Seasonal tickets
male female child male female
2018 4521 1254 759 1122 780
2019 4668 1102 884 1088 794

 

 

Ticket revenue from
selling them at the
entrance door per game($)
Seasonal ticket revenue($)
male female child male female
2018 72336 16552.8 4402.2 78540 47970
2019 79822.8 15428 4420 80512 47640

 

What was the seasonal ticket price for a male person in 2018? How much did it decrease or increase in 2019?

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29. Questions 28, 29, and 30 refer to the information below.

A football club published on its website the number of entrance tickets sold in 2018 and in 2019.

Average number of
tickets sold at the
entrance door per
game
Seasonal tickets
male female child male female
2018 4521 1254 759 1122 780
2019 4668 1102 884 1088 794

 

 

Ticket revenue from
selling them at the
entrance door per game($)
Seasonal ticket revenue($)
male female child male female
2018 72336 16552.8 4402.2 78540 47970
2019 79822.8 15428 4420 80512 47640

 

Which of the following represents the equation of the line describing the change of the number of seasonal tickets sold for a female person to the revenue obtained from the same category?

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30. Questions 28, 29, and 30 refer to the information below.

A football club published on its website the number of entrance tickets sold in 2018 and in 2019.

Average number of
tickets sold at the
entrance door per
game
Seasonal tickets
male female child male female
2018 4521 1254 759 1122 780
2019 4668 1102 884 1088 794

 

 

Ticket revenue from
selling them at the
entrance door per game($)
Seasonal ticket revenue($)
male female child male female
2018 72336 16552.8 4402.2 78540 47970
2019 79822.8 15428 4420 80512 47640

 

What is the average revenue ticket from selling them at the entrance door per game in 2019?

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31. if f(x)=-4x+8(x-5)  and g(x)=-3x+1, what is the value of f(2) x g(1)?

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32. The sum of twice a number x and eleven is equal to one third the difference of the same number and one. What is the value of (1-x)?

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33. If y varies directly as the cube of 2x, and y=8 when x=2, what is y when x is equal to 4 ?

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34. Questions 34 and 35 refer to the information below.

The scatterplot below shows how many laptops for different companies were repaired by a computer engineer between years 2010 and 2015.

 

Based on the line of best fit shown as a dashed line, what is the average yearly increase in the number of repaired laptops rounded to the nearest tenth?

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35. Questions 34 and 35 refer to the information below.

The scatterplot below shows how many laptops for different companies were repaired by a computer engineer between years 2010 and 2015.

 

How many laptops were repaired between years 2012 and 2014?

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36. Given that 3x =11 ,what is the value of 2(33x)-4?

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37. If sin     ,what is the value of 9sin a+3cos a?

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38. The density of a substance is equal to the quotient of its mass and its volume. What is the mass, in kilograms, of a liquid whose density is 14.2 g/cm³ if its volume is equal to 6 L? (1 mL = 1 cm³)

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