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Subjects  Gmat test  Update  13/07/2018 
Class  Grade 10  Number of questions  30 
View  429  Tested  3 
Question 1. Which factor is common to both of the following polynomials?


Question 2. What value of k will make the following trinomial a perfect square? x^{2} + 8x + k


Question 3. Expand and simplify (x  5)(x  5) . How many terms are in the simplified product?


Question 4. Expand and simplify : 3x(2x  3)^{2}  (x +4)


Question 5. Simplify for all permissible values :\(2x^2 + 9x  5\over 2x^2  3x + 1\)


Question 6. Simplify for all permissible values :\(2x^3  5x^2\over 4x^3  25x\)


Question 7. Simplify for all permissible values :\(3\over x + 1\) + \(x^2\over x^2 + 2x + 1\)  1


Question 8. Solve for x :\(6\over x + 2\) = \(4\over x  4\)


Question 9. How many nonpermissible values for x are in the following expression? \(2x\over x + 3\) + \(1\over x^2 + 6x + 9\)


Question 10. For what values of x is the following expression undefined? \(x^2 + 3x + 2\over x^3  4x\)


Question 11. What is the quotient when x^{3} + 3x^{2} + 2x  1 is divided by x + 3 ?


Question 12. What is the remainder when 4x^{3}  5x + 2 is divided by 2x  3?


Question 13. Determine the length of side PQ.


Question 14. To display a valuable specimen of moon rock, staff at the Space Centre roped off a triangular area and installed a security camera, as shown below. The security camera was installed so that it scanned continually between the two longest ropes through the angle C. Determine the measure of \(\measuredangle\)C .


Question 15. Determine the area of the triangle shown below.


Question 16. Solve for x :


Question 17. From where she parked her car, Jade observed that the angle of elevation to the top of a building was 25°. When she walked 50 m closer to the building, the angle of elevation became 60°. Determine the distance from the base of the building to her car.


Question 18. The point (7, b) is the midpoint of the line segment JK with J(5, 2) and K(a, 6) . Determine the value of a  b .


Question 19. Which line has a positive slope and a negative xintercept?


Question 20. A line passes through the points (3n, 4) and (6, 4n). The slope of the line is \(2\over 3\) . Determine the value of n .


Question 21. Determine an equation of a line which has a slope of \(1\over 3\) and passes through the point (6, 0).


Question 22. Determine an equation of the following line :


Question 23. Which of the following lines passes through the points (3, 1) and (10, 4) ?


Question 24. Which of the following equations represents a line that is perpendicular to the line shown below and passes through the point (2, 6) ?


Question 25. The equation of a line is 4x  3y  12 = 0 . Determine an equation of a parallel line that intersects the yaxis 6 units above the given line.


Question 26. Simplify: 7\(\sqrt3\)  4\(\sqrt3\) + 2\(\sqrt3\)


Question 27. Simplify : \(\sqrt{28} + 3\sqrt{63}  \sqrt7\)


Question 28. Simplify :(\((\sqrt x  \sqrt 5)(\sqrt x + \sqrt5)\)


Question 29. Simplify : (\(\sqrt{12} + 5\sqrt3\))^{2}


Question 30. Simplify : \(8\sqrt3 \over \sqrt6 + \sqrt5\)

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