1
2
3
4
5
100

Factor .24x3+20x4-42x5

6x3(4+5x-7x)2 

100

Factor . 12x2y+18xy2

6xy(2x+3y)

100

70x5 y3-42x8 y2

14x5y2(5y-3x3)

100

4z2+19z2+12

(4z+3)(z+4)

100

81x2−36x+4

(9x-2)2

200

The cube of a number equals nine times the number. Find the number.

3, -3, 0

200

The sum of a number and its square is 156. Find the numbers.

12 and 13

200

The product of two consecutive integers is 90. Find the integers.

  • X = -10 or x = 9 

200

The product of two consecutive integers is 272. Find the value of each integer

16 and 17

200

The product of two consecutive even integers is 528. Find the value of each integer.

22 and 24

300

The length of a rectangle is three times its width. If the area of the rectangle is 108 in2 , find its perimeter.

48 in

300

An apple orchard contains 84 trees. The number of trees per row is 5 more than the number of rows. Find the number of rows.

7 rows

500

The Ortegas have an apple orchard that contains 150 trees. The number of trees in each row is 20 more than twice the number of rows. Find the number of rows and the number of trees per row.

rows=5 

trees per row=30

500

A rectangular swimming pool is twice as long as it is wide.  A small concrete walkway surrounds the pool.  The walkway is a constant 2 feet wide and has an area of 196 square feet.  Find the dimensions of the pool.

15 x 30

500

The longer leg of a right triangle is one unit shorter than twice the length of the shorter leg. The hypotenuse is one unit longer than twice the length of the shorter leg. Find the lengths of the three sides of the triangle.

A= 8

B=15

C=16

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