The product of two consecutive even integers is 840. Find all pairs of integers that work.
What is 28 and 30
-28 and -30
200
5x3 - 5x2 - 7x + 7
What is (5x2 - 7)(x - 1)
200
Factor x2 + 17xy + 72y2
What is (x + 9y)(x + 8y)
200
Factor
v2 - 10v + 25
What is (v - 5)2
200
Solve
r2 + 12r + 27
What is r = -3, -9
200
The length of a table is 5 times as long as its width. Find the length and width if it has an area of 45ft 2.
What is L = 15 W = 3
300
factor
112m3 - 16m2 + 98m - 14
What is 2(8m2 + 7)(7m -1)
300
Factor
6u2 + 24uv - 270v2
What is 6(u + 9v)(u - 5v)
300
Factor
80u2 - 45v2
What is 5(4u + 3v)(4u - 3v)
300
solve
x3 + 7r2 = -10r
What is r = 0, -2, -5
300
The distance a object is thrown based on its height is given by the equation D = h2 - 3h. If an object is thrown 28 ft, what was its maximum height?
What is 7 feet
400
Factor
125r3 - 150r2 - 200r + 240
What is 5(5r2 - 8)(5r - 6)
400
Factor
3v2 - 7v - 10
What is (3v - 10)(v + 1)
400
Factor
27x2 - 36xy + 12y2
What is 3(3x - 2y)2
400
Solve
5a2 - 30 - 15 = 20
What is a = -1, 7
400
The width of rectangular field is 3 miles less than its length. If it has an area of 18 mi2, find the length and width of the field.
What is L = 6 mi W = 3 mi
500
Factor
49xw - 14xk - 392y2w + 112y2k
What is 7(x - 8y2)(7w - 2k)
500
Factor
6u2v2 + 39uv3 - 72v4
What is 3v2(2u - 3v)(u + 8v)
500
Double Jeopardy!!!!
Factor 54x3 - 2
What is 2(3x - 1)(9x2 + 3x + 1)
500
6p4 + 30p2 = -66p3 -30p2
What is p = 0, -1, -10
500
If an object is thrown upward 162 ft, its height after t seconds is given by h = 36t - 2t2. Find the number of seconds before the object hits the ground.