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Two opposite sides of a rectangle are each of length x. If the perimeter of the rectangle is 16, then the area, as a function of x, is |
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x(16 – x) |
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(8 – x) 2 |
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x(8 – x) |
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x(16 – 2x) |
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| Question 2 |
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The area of an equilateral triangle which has a perimeter of 72 is |
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288(3 1/2) |
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72(3 1/2) |
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144(3 1/2) |
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144 |
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| Question 3 |
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Two sides of an isosceles triangle are each of length x. If the perimeter of the triangle is 5O, then the area, as a function of x, is |
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5(25 – x)(2x – 25) 1/2 |
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1O(25 – x)(2x – 25) 1/2 |
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x(9 – x) |
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Not enough information. |
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| Question 4 |
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An open box is constructed from a rectangular piece of metal by cutting squares of length x from each corner and bending up the sides. If the metal is 12 by 18 then volume of the box, as a function of x, is |
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x(12 – x)(18 – x) |
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x(6 – x)(9 – x) |
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4x(6 – x)(9 – x) |
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2x(6 – x)(9 – x) |
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| Question 5 |
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A piece of string 16 inches long is cut into two pieces, one of which is of length x inches. If this piece is made into the circumference of a circle and the other piece is made into the circumference of a square, then the combined area of the circle and the square, as a function of x, is |
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(4 – p) x 2/(16p) + 2x + 16 |
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(4 + p)x 2/(16p) – 2x + 16 |
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px 2 – 2x + 16 |
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px 2 + 2x + 16 |
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| Question 6 |
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A tin can, in the shape of a cylinder, has a volume of 2 cubic inches. If the radius of the base is x inches, then the surface area of the can, (including both top and bottom), as a function of x, is |
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2px(x + h) |
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px 2 + 4/x |
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2px 2 + 4/x |
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Not enough information. |
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| Question 7 |
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A woman 5 feet tall stands x feet away from a 2O foot high street light. If the woman's shadow is s feet long then s = |
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4 |
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x/3 |
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x/4 |
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4x |
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| Question 8 |
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A rectangular sheet of paper contains 12 square inches of printed matter, with a 1 inch margin at the top and bottom, and a 2 inch margin on each side. If the width of the printed matter is x inches, then the area of the sheet of paper, as a function of x, is |
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(x + 4)(y + 2) |
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4x + 2O + 24/x |
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2x + 2O + 48/x |
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Not enough information. |
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| Question 9 |
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The distance from the origin to the point (x, y) on the straight line y + 2x = –5, as a function of x, is |
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5x 2 + 2Ox + 25 |
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5x 2 – 2Ox + 25 |
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5x 2 – 1Ox + 25 |
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None of the above. |
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| Question 10 |
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An island is 6 miles offshore from the nearest point P on a straight shoreline. A store is 7 miles down the shoreline from P. A man can row at 3 mph and walk at 5 mph. If he lands a distance x from P (between P and the store) and he rows and walks in straight lines, the time, in hours, it takes him to get from the island to the store, as a function of x, is: |
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2 |
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Not enough information. |
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