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WorksheetsPythagoras and cubes
Total questions: 15
Worksheet time: 1hrs 15mins
Name
Class
Date
1.
Complete the formula
a³-b³=
a³-b³=
a)
(a-b)(a²+ab+b²)
b)
(a+b)(a²-ab+b²)
c)
(a-b)(a²-ab+b²)
d)
(a+b)(a²+ab+b²)
2.
Complete the formula
a³+b³=
a)
(a-b)(a²+ab+b²)
b)
(a+b)(a²-ab+b²)
c)
(a-b)(a²-ab+b²)
d)
(a+b)(a²+ab+b²)
3.
Factor: 8x3 - 1
a)
(2x - 1)(4x2 + 2x + 1)
b)
(2x + 1)(4x2 - 2x + 1)
c)
(2x - 1)(4x2 - 2x - 1)
d)
(2x + 1)(4x2 +2x + 1)
4.
Which number is both a perfect square and a perfect cube?
a)
64
b)
27
c)
81
d)
16
5.
WHAT FACTORING TECHNIQUE YOU HAVE TO USE TO SOLVE FOR THE FACTORS OF 27X3-343?
a)
DIFFERENCE OF TWO CUBES
b)
DIFFERENCE OF TWO SQUARES
c)
FACTORING BY GCF
d)
SUM OF TWO CUBES
6.
Fully Factor the Following
216x3+125
216x3+125
a)
6(x+5)3
b)
(6x+5)3
c)
(6x+5)(6x2-30x+25)
d)
(6x+5)(36x2-30x+25)
7.
(_______) (x2−6x+36)
a)
PRIME
b)
(x−6)
c)
(x+6)
d)
(x2−9)
8.
(5a−7)(25a2+35a+49)
___________=
a)
(25a3−49)
b)
(125a3−343)
c)
PRIME
d)
None of the above
9.
512y3−1
= (8y-1)(________)
a)
(16y2+8y+1)
b)
PRIME
c)
(64y2−8y+1)
d)
(64y2+8y+1)
10.
solve for c
a)
7
b)
9
c)
4
d)
13
11.
Calculate the length of b in this triangle.
a)
31
b)
36
c)
60
d)
62
12.
Identify the hypotenuse.
a)
x
b)
z
c)
w
13.
What kind of triangles does the Pythagorean Theorem work with?
a)
Right
b)
Left
c)
Isosceles
d)
Equilateral
14.
The hypotenuse is always.............
a)
The right angle side
b)
The shortest side
c)
The longest side
d)
On the outside
15.
Calculate
a)
4
b)
8
c)
7.6
d)
8.6
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