Mixed Quadratic Applications #1 - #7 NO DESMOS; #8 - 16 DESMOS

3 times a number is 28 less than the square of that number. Find the negative solution.

Tags

CCSS.8.EE.A.2

The width of a rectangle is 1 unit less than the length, and the area of the rectangle is 20 square units. Determine the width of the rectangle in units.

When 5 is subtracted from the square of a number, the result is 4 times the number. Find the positive solution.

The width of a rectangle is 1 unit less than the length, and the area of the rectangle is 20 square units. Determine the width of the rectangle in units.

The length of a rectangular poster is 7 more inches than three times its width and the area of the poster is 26 square inches. Determine the dimensions (length and width) of the poster.

• Width = 2 inches, Length = 13 inches

• Width = 1 inch, Length = 10 inches

• Width = 2 inches, Length = 10 inches

• Width = 3 inches, Length = 16 inches

The length of a rectangular poster is 2 more inches than two times its width. The area of the poster is 12 square inches. Solve for the dimensions (length and width) of the poster

• Length = 2, Width = 6

• Length = 6, Width = 2

• Length = 3, Width = 4

• Length = 4, Width = 3

Shay’s garden is in the shape of a right triangle. Given that the hypotenuse is 15 feet, and the longer leg is 3 feet more than the shorter leg, determine the lengths of the two legs.

• 9

• 12

• 8

• 10