Superb Sums
Simplify.
(2t+7)+(-8t+1)
-6t+8
Simplify.
(2x+1)-(5x+8)
-3x-7
Simplify.
-2x3(x2-1)
-2x5+2x3
A 3 ft by 6 ft bath enclosure is installed in a new bathroom measuring x feet by x feet. Find a polynomial for the remaining floor area.
All that is required to sum two polynomials is to do this.
Combine like terms
Simplify.
(8a2+4a-7)+(6a2-3a-1)
14a2+a-8
Simplify.
(a2-3a-2)-(2a2-6a-2)
-a2+3a
Simplify.
4n(3n3-4n2-5n+10)
12n4-16n3-5n2+40n
A 5 ft by 7 ft hot tub is installed on an outdoor deck measuring y ft by (y+2) ft. Find a polynomial for the remaining area of the deck.
(y2+2y-35) ft2
What is the formula for the area of a circle?
A=πr2
Simplify.
(7+4x-5x2+6x3)+(2+x+6x2-4x3)
2x3+x2+5x+9
Simplify.
(7+t-5t2+2t3)-(1+2t-4t2+5t3)
-3t3-t2-t+6
Simplify.
(5+x)(5+2x)
2x2+15x+25
A 12 ft wide round patio is laid in a garden measuring x by x feet. Find a polynomial for the remaining area of the garden.
(x2-36π) ft2
Rather than subtracting a polynomial, what can you add instead?
Its Opposite
Simplify.
(5.3t2-6.4t-9.1)+(4.2t3-1.8t2+7.3)
4.2t3+3.5t2-6.4t-1.8
(0.9a3+0.2a-5)-(0.7a4-0.3a-0.1)
-0.7a4+0.9a3+0.5a-4.9
Simplify.
(2x-3)2
4x2-12x+9
Draw a diagram of a rectangle to represent the fact that (x+2)(x+4)=x2+6x+8
See diagram
Explain the relationship between the radius and the diameter of a circle.
Simplify.
(1/3x4+1/5x3-1/4x2+7)+(2/9x4-1/4x3-3/4x2-1/6x)
5/9x4-1/20x3-x2-1/6x+7
Simplify.
(3/8x3-1/4x-1/3)-(-1/2x3+1/4x-1/3)
7/8x3-1/2x
Simplify.
(2x2-1)(6x2-x+3)
12x4-2x3+x-3
A rectangular garden is twice as long as it is wide and has an area of 128ft2. Find the dimensions of the garden.
16 ft by 8 ft
Pi (π) is the relationship between a circle's ___ and ___?
Circumference and diameter