Category 1
The cube of a number equals 9 times the number what is the number.
3 -3
The product of 2 consecutive integers is 210 find the integers.
14 and 15
-14 and -15
Suppose that five times the cub of a number equals 80 times the number. Find the number.
the numbers are -4,0,4
Suppose that the width of a certain rectangle is three fourths of its length. The area of this rectangle is 108 square meters. Find the length and width of the rectangle.
Dimensions are 9 x 12
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
The orchard has 7 rows
The area of a rug is 66 square ft. The length of the rug is 5ft longer than the width. What is the width of the rug.
the width is 6
The sum of a number and a square is 156 find the numbers.
12 and 13
-12 and-13
The perimeter of a rectangle is 30 centimeters and the area is 54 square centimeters. Find the Width and length of the rectangle.
The dimensions are 6 x 9
Ten times the square of a number equals 40. Find the number
2 or -2
One number is one less than three items another number. If the product of the two numbers is 102,Find the numbers.
The pair of numbers could be -18 and -17/3 or 17 and 6
Four times the square of a number is 45 more than 8 times the number.What is the number?
-5/2 9/2
The length of a rectangle is 4ft more than twice its width. The area of a rectangle is 48ft^2. Find the length and width of the rectangle.
width=4
length=12
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.
The dimensions are 8 cm,15cm and 17 cm.
Forty nine less than the square of a number equals zero. Find the number
The numbers could be 7 or -7
An apple orchard contains 85 trees. The number of trees in each row is three less than four times the number of rows. Find the number of rows and number of trees per row.
The orchard has 5 rows and 17 trees
The length of a rectangle is 6cm less than twice its width.Find the dimensions of this rectangle if its are is 108cm^2
L=12
W=9
The width of a rectangle is 7 cm less than twice its length. Its area is 30 square centimeters. Find the dimensions of the rectangle.
width=5cm
length=6cm
The product of two consecutive odd whole numbers is one less than five times their sum. Find the numbers
The numbers are 9 and 11
The area of a triangle is 98 square feet. If one side of the triangle and the altitude to that side are of equal length. Find the length
The side and altitude of the triangle are 14 ft.
Suppose that the length of a certain rectangle is three ties its width. If the length is increased by 2 inches and the width increased y 1 inch,The newly formed rectangle has an area of 70 square inches. Find the width and length of the original rectangle.
The length of the original rectangle is 12 inland its width is 4 in.
The height of a triangle is 2mm less than the base.If the area is 66mm^2. Find the base and height of the triangle.
Base=12mm
Height=10mm
The product of two numbers is 12. If their sum added to the sum of their squares is 32.Find the numbers
4 and 3
-6 and -2
An association has a fund of 195$. In addition that, each member of the association contributes the number of dollars equal to the number members. The total money gets 28$, find the number of members in the association.
15 or 13 members.
A rectangular plot is 6 meters longer than it is wide.The area of the plot is 16 square meters. Find the length and width of the plot.
The dimensions of the plot are 2 x 8 cm
If the radius of a circle is decreased by 6,the old area is 9 times the new area.What was the original radius?
R=9