Tuesday, October 21, 2014

ISTEP 8

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Question 1: | 3x - 2 | = 8 and | x + 1 | = 1
What value of x satisfies both equations above?






Question 2: The sum of three consecutive integers is 63. What is the lowest of the three integers?






Question 3: What is the slope of the line described by the 3y - 4x + 5 = 0 equation?






Question 4: Let f(x) = 2x2 - x + 5 and g(x) = 3x2 - 3x - 2. Calculate h(1), if h(x) = f(x) + g(x).






Question 5: The inequation 3x - 2 > 4 is equivalent to:






Question 6: What is the slope of a line perpendicular to the line described by the equation 2y - 3x = 2?






Question 7:
geometry 8th grade






Question 8: Solve for the numbers x and y from the equations 3x - 2y = 5 and x + y = 5.






Question 9: Which list shows numbers in order from least to greatest?






Question 10: x2(x + 4) - x(x + 4) =



Question 1: 
geometry 8th grade
The trapezoid in the figure above has an area of 34 square inches and an altitude h of 4 inches. What is the sum of its parallel sides?





Question 2:
geometry 8th grade
If O is the center of circle C in the figure above, which of the following numbers is closer to the ratio between the area of the circle and the area of the isosceles triangle ABC?





Question 3: What is the area of the parallelogram shown on the coordinate plane below?
geometry 8th grade





Question 4: If the parallelogram from the previous problem is translated 1 unit left, what is the area of the parallelogram that is part of the second quadrant?





Question 5: In the figure below, right triangles ABC and ADE are similar. Which of the following relations must be true?
geometry 8th grade










Question 6: The piece of cardboard shown below has the shape of a square with the sides equal to 3 inches. A student cuts the four corners of the square. The right triangles cut have legs equal to 1 inch. What is the area of the remaining cardboard?

geometry 8th grade






Question 7: Is the remaining cardboard of problem 6 a regular polygon?



Question 8: What percentage of the area of the triangle below is shadowed? All triangles are equilateral.







Question 9: 
geometry 8th grade

A circle of center O is inscribed in a right isosceles triangle, ABC as seen in the figure above. If side BC is tangent to the circle in point T and the radius of the circle is r, which of the following approximates best the length of the segment AT? 





Question 10: If the radius of sphere S1 is r1, the radius of sphere S2 is r2 and r1 = 2r2, what is the ratio of the volumes of the two spheres, S1/S2 ?








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