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Math Problems
Algebra 2
Factor polynomials
Factor completely.
\newline
y
6
−
x
2
y^{6}-x^{2}
y
6
−
x
2
\newline
Answer:
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Factor completely.
\newline
y
4
−
100
x
4
y^{4}-100 x^{4}
y
4
−
100
x
4
\newline
Answer:
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Factor completely.
\newline
81
−
x
2
81-x^{2}
81
−
x
2
\newline
Answer:
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Factor completely.
\newline
x
2
−
9
x^{2}-9
x
2
−
9
\newline
Answer:
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Factor completely.
\newline
25
−
144
x
2
25-144 x^{2}
25
−
144
x
2
\newline
Answer:
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Factor completely.
\newline
9
x
2
−
100
9 x^{2}-100
9
x
2
−
100
\newline
Answer:
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Factor completely.
\newline
16
−
x
2
16-x^{2}
16
−
x
2
\newline
Answer:
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Factor completely.
\newline
x
2
−
1
x^{2}-1
x
2
−
1
\newline
Answer:
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Factor completely.
\newline
121
x
2
−
144
121 x^{2}-144
121
x
2
−
144
\newline
Answer:
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Factor completely.
\newline
100
x
2
−
9
100 x^{2}-9
100
x
2
−
9
\newline
Answer:
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Factor completely.
\newline
9
x
2
−
16
9 x^{2}-16
9
x
2
−
16
\newline
Answer:
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Factor completely.
\newline
144
−
x
2
144-x^{2}
144
−
x
2
\newline
Answer:
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Factor completely.
\newline
81
x
2
−
121
81 x^{2}-121
81
x
2
−
121
\newline
Answer:
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Factor completely.
\newline
81
−
64
x
2
81-64 x^{2}
81
−
64
x
2
\newline
Answer:
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200
+
49
200+49
200
+
49
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h
=
3.2
ℓ
+
82.77
h=3.2\ell+82.77
h
=
3.2
ℓ
+
82.77
\newline
An anthropologist uses the formula to estimate the height,
h
h
h
, in centimeters, of a male with an ulna bone that is
ℓ
\ell
ℓ
centimeters long. Which of the following equations correctly gives the length of the ulna bone in terms of the height?
\newline
Choose
1
1
1
answer:
\newline
(A)
ℓ
=
h
3.2
−
82.77
\ell=\frac{h}{3.2}-82.77
ℓ
=
3.2
h
−
82.77
\newline
(B)
ℓ
=
h
−
82.77
3.2
\ell=\frac{h-82.77}{3.2}
ℓ
=
3.2
h
−
82.77
\newline
(C)
ℓ
=
3.2
h
−
82.77
\ell=3.2h-82.77
ℓ
=
3.2
h
−
82.77
\newline
(D)
ℓ
=
h
−
82.77
3.2
\ell=h-\frac{82.77}{3.2}
ℓ
=
h
−
3.2
82.77
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8
x
+
5
=
b
x
−
7
8x + 5 = bx - 7
8
x
+
5
=
b
x
−
7
\newline
In the equation shown above, b is a constant.
\newline
For what value of b does the equation have no solutions?
\newline
(A)
−
8
-8
−
8
\newline
(B)
−
7
-7
−
7
\newline
(C)
5
5
5
\newline
(D)
8
8
8
Get tutor help
Create equivalent expressions by factoring
10
h
+
30
+
50
j
10h+30+50j
10
h
+
30
+
50
j
to identify the equivalent expressions.
\newline
Choose
2
2
2
answers:
\newline
(A)
5
(
2
h
+
6
+
10
j
)
5(2h+6+10j)
5
(
2
h
+
6
+
10
j
)
\newline
(B)
10
(
h
+
3
+
5
j
)
10(h+3+5j)
10
(
h
+
3
+
5
j
)
\newline
(C)
2
(
5
h
+
15
+
25
j
)
2(5h+15+25j)
2
(
5
h
+
15
+
25
j
)
\newline
(D)
15
(
2
3
h
+
2
+
10
3
j
)
15(\frac{2}{3}h+2+\frac{10}{3}j)
15
(
3
2
h
+
2
+
3
10
j
)
Get tutor help
Create equivalent expressions by factoring
10
h
+
30
+
50
j
10h+30+50j
10
h
+
30
+
50
j
to identify the equivalent expressions.
\newline
Choose
2
2
2
answers:
\newline
(A)
5
(
2
h
+
6
+
10
j
)
5(2h+6+10j)
5
(
2
h
+
6
+
10
j
)
\newline
(B)
10
(
h
+
3
+
5
j
)
10(h+3+5j)
10
(
h
+
3
+
5
j
)
\newline
(C)
2
(
5
h
+
15
+
25
j
)
2(5h+15+25j)
2
(
5
h
+
15
+
25
j
)
\newline
(D)
15
(
2
3
h
+
2
+
10
3
j
)
15(\frac{2}{3}h+2+\frac{10}{3}j)
15
(
3
2
h
+
2
+
3
10
j
)
Get tutor help
Which equation has the solution
x
=
7
x=7
x
=
7
?
\newline
7
x
−
5
=
44
7 x-5=44
7
x
−
5
=
44
\newline
7
x
+
2
=
−
51
7 x+2=-51
7
x
+
2
=
−
51
\newline
6
x
−
9
=
69
6 x-9=69
6
x
−
9
=
69
\newline
2
x
+
7
=
24
2 x+7=24
2
x
+
7
=
24
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0
=
3
⋅
2
(
x
−
4
)
−
7
0=3\cdot2^{(x-4)}-7
0
=
3
⋅
2
(
x
−
4
)
−
7
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Solve these pairs of simultaneous equations:
\newline
2
x
+
y
=
1
2x + y = 1
2
x
+
y
=
1
and
\newline
y
=
x
−
5
y = x - 5
y
=
x
−
5
Get tutor help
Factor
24
j
−
16
24j-16
24
j
−
16
to identify the equivalent expressions.
\newline
Choose
2
2
2
answers:
\newline
(A)
8
(
3
j
−
2
)
8(3j-2)
8
(
3
j
−
2
)
\newline
(B)
6
(
4
j
−
2
j
)
6(4j-2j)
6
(
4
j
−
2
j
)
\newline
(C)
4
(
6
j
−
4
)
4(6j-4)
4
(
6
j
−
4
)
\newline
(D)
2
(
12
−
8
)
2(12-8)
2
(
12
−
8
)
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Factor
64
b
−
16
c
64b-16c
64
b
−
16
c
to identify the equivalent expressions.
\newline
Choose
2
2
2
answers:
\newline
(A)
16
(
4
b
−
c
)
16(4b-c)
16
(
4
b
−
c
)
\newline
(B)
4
(
16
b
−
4
c
)
4(16b-4c)
4
(
16
b
−
4
c
)
\newline
(C)
8
(
8
b
+
2
c
)
8(8b+2c)
8
(
8
b
+
2
c
)
\newline
(D)
2
(
32
b
−
8
c
)
2(32b-8c)
2
(
32
b
−
8
c
)
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36
−
4
+
25
36-4+\sqrt{25}
36
−
4
+
25
Get tutor help
Factor completely.
\newline
100
−
140
x
+
49
x
2
=
100-140x+49x^{2}=
100
−
140
x
+
49
x
2
=
Get tutor help
Factor completely.
\newline
x
3
+
7
x
2
−
5
x
−
35
=
x^{3}+7 x^{2}-5 x-35=
x
3
+
7
x
2
−
5
x
−
35
=
Get tutor help
Factor completely.
\newline
x
3
−
8
x
2
−
2
x
+
16
=
x^{3}-8 x^{2}-2 x+16=
x
3
−
8
x
2
−
2
x
+
16
=
Get tutor help
Factor completely.
\newline
x
5
−
x
4
+
3
x
−
3
=
x^{5}-x^{4}+3 x-3=
x
5
−
x
4
+
3
x
−
3
=
Get tutor help
Factor completely.
\newline
x
4
+
5
x
3
+
4
x
+
20
=
x^{4}+5 x^{3}+4 x+20=
x
4
+
5
x
3
+
4
x
+
20
=
Get tutor help
Factor the polynomial by its greatest common monomial factor.
\newline
9
m
3
−
27
m
=
9 m^{3}-27 m=
9
m
3
−
27
m
=
Get tutor help
Factor completely.
\newline
49
q
4
−
4
=
49 q^{4}-4=
49
q
4
−
4
=
Get tutor help
Factor completely.
\newline
121
c
4
−
44
c
2
+
4
=
121 c^{4}-44 c^{2}+4=
121
c
4
−
44
c
2
+
4
=
Get tutor help
Factor completely.
\newline
49
c
2
+
70
c
d
+
25
d
2
=
49 c^{2}+70 c d+25 d^{2}=
49
c
2
+
70
c
d
+
25
d
2
=
Get tutor help
Factor completely.
\newline
64
y
6
−
48
y
3
+
9
=
64 y^{6}-48 y^{3}+9=
64
y
6
−
48
y
3
+
9
=
Get tutor help
Factor completely.
\newline
49
m
4
+
140
m
2
+
100
=
49 m^{4}+140 m^{2}+100=
49
m
4
+
140
m
2
+
100
=
Get tutor help
Factor completely.
\newline
36
c
2
−
121
d
2
=
36 c^{2}-121 d^{2}=
36
c
2
−
121
d
2
=
Get tutor help
Factor completely.
\newline
16
x
6
−
81
=
16 x^{6}-81=
16
x
6
−
81
=
Get tutor help
Factor completely.
\newline
81
p
2
−
144
p
q
+
64
q
2
=
81 p^{2}-144 p q+64 q^{2}=
81
p
2
−
144
pq
+
64
q
2
=
Get tutor help
Factor completely.
\newline
16
x
2
−
49
y
2
=
16 x^{2}-49 y^{2}=
16
x
2
−
49
y
2
=
Get tutor help
Factor completely.
\newline
81
p
8
−
100
=
81 p^{8}-100=
81
p
8
−
100
=
Get tutor help
Factor completely.
\newline
49
m
2
−
126
m
n
+
81
n
2
=
49 m^{2}-126 m n+81 n^{2}=
49
m
2
−
126
mn
+
81
n
2
=
Get tutor help
Factor completely.
\newline
25
d
8
−
80
d
4
+
64
=
25 d^{8}-80 d^{4}+64=
25
d
8
−
80
d
4
+
64
=
Get tutor help
Factor completely.
\newline
49
p
8
+
42
p
4
+
9
=
49 p^{8}+42 p^{4}+9=
49
p
8
+
42
p
4
+
9
=
Get tutor help
Factor completely.
\newline
36
c
2
−
84
c
d
+
49
d
2
=
36 c^{2}-84 c d+49 d^{2}=
36
c
2
−
84
c
d
+
49
d
2
=
Get tutor help
Factor the quadratic expression completely.
\newline
−
8
x
2
−
15
x
+
2
=
-8 x^{2}-15 x+2=
−
8
x
2
−
15
x
+
2
=
Get tutor help
Factor the quadratic expression completely.
\newline
−
3
x
2
+
17
x
−
20
=
-3x^{2}+17x-20=
−
3
x
2
+
17
x
−
20
=
Get tutor help
Factor the quadratic expression completely.
\newline
−
7
x
2
−
24
x
−
9
=
-7x^{2}-24x-9=
−
7
x
2
−
24
x
−
9
=
Get tutor help
Factor the quadratic expression completely.
\newline
3
x
2
−
20
x
−
7
=
3x^{2}-20x-7=
3
x
2
−
20
x
−
7
=
Get tutor help
Factor the quadratic expression completely.
\newline
2
x
2
+
7
x
+
3
=
2x^{2}+7x+3=
2
x
2
+
7
x
+
3
=
Get tutor help
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