Multiplying
Simplify: (2x2)(-11x)
-22x3
Find the sum: 12x2 + 8x2
20x2
A homeowner wants to expand a square patio. The original patio is a square with side length x feet. They want to add an extension of of another square of 2 feet on all sides. What is the new side length?
x+2
A paint factory starts production with 2x+120 liters of base paint. Each production run consumes 1x+5 liters. How much will be left after one production run?
x+115
Simplify: (-2x)4
16x4
(4x-5) - (9x+2)
5x-7
The garden has dimensions of length (3x+5) feet and width(2x+1) feet. What is the area?
6x2+13x+5
A pharmacy begins inventory with 5.6x2−20x+200 milligrams of a medication in stock.
A hospital order requires 1.5x2+11x milligrams.
How much is left after the hospital order?
4.1x2-31x+200
-x2(x-15)
-x3+15x2
(6x2+x+7) + (3x2+1)
9x2+x+8
A contractor builds a rectangular building with dimensions (4x−1) meters by (3x+2) meters. What is the perimeter of the building?
14x+2
A construction supply company receives concrete deliveries from two plants.
Plant A delivers 4.7x2−22x+110 cubic meters, and Plant B delivers 2.8x2+16x+50 cubic meters.
What polynomial represents the total cubic meters of concrete received from both plants?
7.5x2-6x+160
(4x2)2
16x4
(2x2-x+3) - (5x2+3x-7)
-3x2-4x+10
A company manufactures storage boxes. The base of the box has dimensions (2x) feet by (3x) feet. The height of the box is (4x) feet. Find the Volume.
24x3
A chemical company produces materials at two production sites.
Site A produces 5.1x2−16x+75 kilograms per batch, and Site B produces 3.2x2+10x+40 kilograms per batch.
What polynomial represents the total kilograms of material produced per batch from both sites combined?
8.3x2-6x+115
Simplify: -8x3(7x2 - 4x - 1)
-56x5 + 32x4 + 8x3
(2x4-3x+9)+(-x3+12x)
2x4 - x3 + 9x + 9
A landscaper is designing rectangular garden beds.
The first garden has dimensions of length (3x+5) feet and width (2x+1) feet.
The second garden has dimensions of length (2x+3) feet and width (2x+1) feet.
What is the area of each garden bed?
1st: 6x2+10x+5
2nd: 4x2+8x+3
A hair salon operates two locations. The profit from the downtown salon is modeled by f(x)=−0.06x2+9.2x+42 dollars, and the profit from the airport salon is modeled by g(x)=−0.03x2+6.5x+31 dollars, where x represents the number of haircuts performed.
If an equal number of haircuts are performed at both locations, which polynomial function models the total profit for the salon?
-0.09x2+15.7x+73