Name:______
Grade 10 Math Take Home
Due Tuesday October 15th , 2013
Instructions:
- Please answer each of the following questions in the space provided.
-The assignment is marked on 100.
- 5 marks off per day late.
Caution! This assignment contains a copious amount of factoring practice—handle with care ! J
1. Factor each of the expressions below completely.
a)
b)
c)
d) 3b2c + 27b + 4bc + 36
e) m2 - 9m + 14
f) y4 - 81
g) 2x2 + 16x + 14
h) 3c2 - 12d 2
i) 3ax + bx - 6ay - 2by
j) 25a2 - 40a + 16
k) 10x2 + 11x - 6
l) x2 - 4
m) x2 + 14x + 49
n) 5x2 - 5
o) 3x2 + 5x - 2
2. Simplify the rational expression below, stating all restrictions necessary
a) =
b) =
c) =
d)
e)
f)
g)
h)
i)
j)
k)
l)
m)
n)
o)
p)
q)
r)
3. In the following algebraic expression, the denominators are not equal to zero.
Which of the following expressions is equivalent to this algebraic expression?
A) / / C) /B) / x + 3 / D) /
4. The volume of a box is given by the expression:
2x3 + 16x2+32x cm3
Find all the dimensions of the box.
5. Jack and Jill, having finally bought a farm, want to put a fence around their chicken coup. The chicken coop is a rectangular piece of land with and area given by 4x2-25.
a) What are the dimensions of the chicken coup?
b) What expression represents the length of fencing required to completely enclose the area.
6. The area of a rectangle is given as.
Find the perimeter of the rectangle.
7. In the following diagram, quadrilaterals ABCD and FBGH are rectangles. In addition, =6units and =6units.
The polynomial 12x2+28x-5 represents the area of rectangle ABCD.
What polynomial represents the area of rectangle FBGH?
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