Multiplying Polynomials
Fraction Busting
Mixed Review
100
Multiply
(2x+7)(3x-5)
=6x^2+11x-35
100
Solve:
(3x)/4=2/3
12((3x)/4=2/3)
(12*3x)/4=(12*2)/3
(36x)/4=24/3
9x=8
x=8/9
100
Solve
x/2+3/5=3
10(x/2+3/5=3)
(10x)/2+30/5=30
5x+6=30
5x=24
x=24/5
200
Multiply
(2x+1)(3x+2)
=6x^2+7x+2
200
Solve
5/9=b-1/3
9(5/9=b-1/3)
(9*5)/9=9b-9/3
5=9b-3
8=9b
8/9=b
200
Describe the transformation:
Translation: 4 units right, and 1 unit down
300
Multiply
(x-4)(x+4)
x^2-4x+4x-16
x^2-16
300
Solve
3/2+(2x)/5=7/10
10(3/2+(2x)/5=7/10)
30/2+(20x)/5=70/10
15+4x=7
4x=-8
x=-2
300
Describe the transformation:
Translation to the left 2 and reflect over the x-axis
400
Multiply:
(8n+1)(6n-3)
48n^2-24n+6n-3
48n^2-18n-3
400
Solve
x/2+3=2/3
6(x/2+3=2/3)
(6x)/2+18=12/3
3x+18=4
3x=-14
x=-14/3
400
Multiply
(x-2)^2
(x-2)(x-2)
x^2-2x-2x+4
x^2-4x+4
500
Multiply
(2x-9)(x^2+3x-4)
=2x^3-3x^2-35x+36
500
Solve
(2x)/3+7+x/6=12
6((2x)/3+7+x/6=12)
(12x)/3+42+(6x)/6=72
4x+42+x=72
5x+42=72
5x=30
x=6
500
Write the perpendicular equation through (0,4) for the equation
y=-1/2x+3
y=2x+4