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Math Problems
Grade 6
Factor numerical expressions using the distributive property
Which expression shows a way to factor
36
+
48
36 + 48
36
+
48
?
\newline
Choices:
\newline
(A)
6
(
6
+
9
)
6(6 + 9)
6
(
6
+
9
)
\newline
(B)
6
(
6
+
7
)
6(6 + 7)
6
(
6
+
7
)
\newline
(C)
12
(
3
+
4
)
12(3 + 4)
12
(
3
+
4
)
\newline
(D)
12
(
3
+
5
)
12(3 + 5)
12
(
3
+
5
)
Get tutor help
Which expression shows a way to factor
32
+
24
32 + 24
32
+
24
?
\newline
Choices:
\newline
(A)
4
(
8
+
4
)
4(8 + 4)
4
(
8
+
4
)
\newline
(B)
2
(
16
+
11
)
2(16 + 11)
2
(
16
+
11
)
\newline
(C)
8
(
4
+
3
)
8(4 + 3)
8
(
4
+
3
)
\newline
(D)
3
(
9
+
8
)
3(9 + 8)
3
(
9
+
8
)
Get tutor help
Which expression shows a way to factor
15
+
18
15 + 18
15
+
18
?
\newline
Choices:
\newline
(A)
6
(
2
+
3
)
6(2 + 3)
6
(
2
+
3
)
\newline
(B)
5
(
3
+
4
)
5(3 + 4)
5
(
3
+
4
)
\newline
(C)
2
(
7
+
9
)
2(7 + 9)
2
(
7
+
9
)
\newline
(D)
3
(
5
+
6
)
3(5 + 6)
3
(
5
+
6
)
Get tutor help
Which expression shows a way to factor
28
+
18
28 + 18
28
+
18
?
\newline
Choices:
\newline
(A)
2
(
14
+
9
)
2(14 + 9)
2
(
14
+
9
)
\newline
(B)
2
(
12
+
9
)
2(12 + 9)
2
(
12
+
9
)
\newline
(C)
2
(
12
+
8
)
2(12 + 8)
2
(
12
+
8
)
\newline
(D)
2
(
14
+
9
)
2(14 + 9)
2
(
14
+
9
)
Get tutor help
Which expression shows a way to factor
24
+
14
24 + 14
24
+
14
?
\newline
Choices:
\newline
(A)
12
(
2
+
1
)
12(2 + 1)
12
(
2
+
1
)
\newline
(B)
7
(
3
+
2
)
7(3 + 2)
7
(
3
+
2
)
\newline
(C)
6
(
4
+
2
)
6(4 + 2)
6
(
4
+
2
)
\newline
(D)
2
(
12
+
7
)
2(12 + 7)
2
(
12
+
7
)
Get tutor help
Which expression shows a way to factor
15
+
35
15 + 35
15
+
35
?
\newline
Choices:
\newline
(A)
3
(
5
+
11
)
3(5 + 11)
3
(
5
+
11
)
\newline
(B)
5
(
3
+
7
)
5(3 + 7)
5
(
3
+
7
)
\newline
(C)
7
(
2
+
5
)
7(2 + 5)
7
(
2
+
5
)
\newline
(D)
15
(
1
+
2
)
15(1 + 2)
15
(
1
+
2
)
Get tutor help
Which expression shows a way to factor
40
+
15
40 + 15
40
+
15
?
\newline
Choices:
\newline
(A)
5
(
8
+
3
)
5(8 + 3)
5
(
8
+
3
)
\newline
(B)
3
(
14
+
5
)
3(14 + 5)
3
(
14
+
5
)
\newline
(C)
5
(
7
+
3
)
5(7 + 3)
5
(
7
+
3
)
\newline
(D)
3
(
13
+
5
)
3(13 + 5)
3
(
13
+
5
)
Get tutor help
Which expression shows a way to factor
55
+
33
55 + 33
55
+
33
?
\newline
Choices:
\newline
(A)
5
(
11
+
7
)
5(11 + 7)
5
(
11
+
7
)
\newline
(B)
11
(
5
+
3
)
11(5 + 3)
11
(
5
+
3
)
\newline
(C)
3
(
18
+
11
)
3(18 + 11)
3
(
18
+
11
)
\newline
(D)
15
(
3
+
2
)
15(3 + 2)
15
(
3
+
2
)
Get tutor help
Which expression shows a way to factor
63
+
35
63 + 35
63
+
35
?
\newline
Choices:
\newline
(A)
7
(
8
+
7
)
7(8 + 7)
7
(
8
+
7
)
\newline
(B)
7
(
8
+
5
)
7(8 + 5)
7
(
8
+
5
)
\newline
(C)
7
(
9
+
6
)
7(9 + 6)
7
(
9
+
6
)
\newline
(D)
7
(
9
+
5
)
7(9 + 5)
7
(
9
+
5
)
Get tutor help
Which expression shows a way to factor
20
+
24
20 + 24
20
+
24
?
\newline
Choices:
\newline
(A)
4
(
5
+
6
)
4(5 + 6)
4
(
5
+
6
)
\newline
(B)
2
(
10
+
14
)
2(10 + 14)
2
(
10
+
14
)
\newline
(C)
2
(
10
+
11
)
2(10 + 11)
2
(
10
+
11
)
\newline
(D)
4
(
5
+
7
)
4(5 + 7)
4
(
5
+
7
)
Get tutor help
Which expression shows a way to factor
14
+
35
14 + 35
14
+
35
?
\newline
Choices:
\newline
(A)
7
(
3
+
5
)
7(3 + 5)
7
(
3
+
5
)
\newline
(B)
7
(
3
+
6
)
7(3 + 6)
7
(
3
+
6
)
\newline
(C)
7
(
2
+
5
)
7(2 + 5)
7
(
2
+
5
)
\newline
(D)
7
(
2
+
6
)
7(2 + 6)
7
(
2
+
6
)
Get tutor help
Which expression shows a way to factor
27
+
63
27 + 63
27
+
63
?
\newline
Choices:
\newline
(A)
9
(
3
+
7
)
9(3 + 7)
9
(
3
+
7
)
\newline
(B)
3
(
9
+
22
)
3(9 + 22)
3
(
9
+
22
)
\newline
(C)
7
(
4
+
9
)
7(4 + 9)
7
(
4
+
9
)
\newline
(D)
13
(
2
+
5
)
13(2 + 5)
13
(
2
+
5
)
Get tutor help
Which expression shows a way to factor
48
+
28
48 + 28
48
+
28
?
\newline
Choices:
\newline
(A)
8
(
6
+
3
)
8(6 + 3)
8
(
6
+
3
)
\newline
(B)
4
(
12
+
8
)
4(12 + 8)
4
(
12
+
8
)
\newline
(C)
8
(
6
+
4
)
8(6 + 4)
8
(
6
+
4
)
\newline
(D)
4
(
12
+
7
)
4(12 + 7)
4
(
12
+
7
)
Get tutor help
Which expression shows a way to factor
36
+
20
36 + 20
36
+
20
?
\newline
Choices:
\newline
(A)
2
(
18
+
11
)
2(18 + 11)
2
(
18
+
11
)
\newline
(B)
4
(
8
+
5
)
4(8 + 5)
4
(
8
+
5
)
\newline
(C)
2
(
16
+
10
)
2(16 + 10)
2
(
16
+
10
)
\newline
(D)
4
(
9
+
5
)
4(9 + 5)
4
(
9
+
5
)
Get tutor help
Which expression shows a way to factor
24
+
32
24 + 32
24
+
32
?
\newline
Choices:
\newline
(A)
4
(
6
+
9
)
4(6 + 9)
4
(
6
+
9
)
\newline
(B)
8
(
3
+
4
)
8(3 + 4)
8
(
3
+
4
)
\newline
(C)
8
(
3
+
5
)
8(3 + 5)
8
(
3
+
5
)
\newline
(D)
4
(
7
+
8
)
4(7 + 8)
4
(
7
+
8
)
Get tutor help
Which expression shows a way to factor
63
+
35
63 + 35
63
+
35
?
\newline
Choices:
\newline
(A)
7
(
8
+
7
)
7(8 + 7)
7
(
8
+
7
)
\newline
(B)
7
(
9
+
6
)
7(9 + 6)
7
(
9
+
6
)
\newline
(C)
7
(
8
+
5
)
7(8 + 5)
7
(
8
+
5
)
\newline
(D)
7
(
9
+
5
)
7(9 + 5)
7
(
9
+
5
)
Get tutor help
Which expression shows a way to factor
26
+
44
26 + 44
26
+
44
?
\newline
Choices:
\newline
(A)
4
(
6
+
11
)
4(6 + 11)
4
(
6
+
11
)
\newline
(B)
2
(
13
+
22
)
2(13 + 22)
2
(
13
+
22
)
\newline
(C)
2
(
13
+
24
)
2(13 + 24)
2
(
13
+
24
)
\newline
(D)
4
(
7
+
11
)
4(7 + 11)
4
(
7
+
11
)
Get tutor help
Which number is a factor of
16
16
16
?
\newline
Choices:
\newline
(A)
8
8
8
\newline
(B)
12
12
12
\newline
(C)
7
7
7
\newline
(D)
5
5
5
Get tutor help
Which number is a factor of
18
18
18
?
\newline
Choices:
\newline
(A)
9
9
9
\newline
(B)
36
36
36
\newline
(C)
5
5
5
\newline
(D)
7
7
7
Get tutor help
Which number is a factor of
6
6
6
?
\newline
Choices:
\newline
(A)
18
18
18
\newline
(B)
8
8
8
\newline
(C)
2
2
2
\newline
(D)
5
5
5
Get tutor help
20
−
8
−
3
×
(
9
−
7
)
=
20-8-3 \times(9-7)=
20
−
8
−
3
×
(
9
−
7
)
=
Get tutor help
Factor
99
−
45
f
+
36
b
99-45f+36b
99
−
45
f
+
36
b
to identify the equivalent expressions.
\newline
Choose
2
2
2
answers:
\newline
A)
9
(
11
−
5
f
+
4
b
)
9(11-5f+4b)
9
(
11
−
5
f
+
4
b
)
\newline
B)
3
(
33
−
15
+
12
)
3(33-15+12)
3
(
33
−
15
+
12
)
\newline
C)
11
(
9
−
4
f
+
3
b
)
11(9-4f+3b)
11
(
9
−
4
f
+
3
b
)
\newline
D)
3
(
33
−
15
f
+
12
b
)
3(33-15f+12b)
3
(
33
−
15
f
+
12
b
)
Get tutor help
Factor completely:
\newline
(
3
x
+
4
)
(
2
x
−
3
)
+
(
5
x
+
2
)
(
2
x
−
3
)
2
(3 x+4)(2 x-3)+(5 x+2)(2 x-3)^{2}
(
3
x
+
4
)
(
2
x
−
3
)
+
(
5
x
+
2
)
(
2
x
−
3
)
2
\newline
Answer:
Get tutor help
Factor completely:
\newline
(
x
+
8
)
(
2
x
+
9
)
2
−
(
2
x
+
9
)
(
2
x
+
7
)
(x+8)(2 x+9)^{2}-(2 x+9)(2 x+7)
(
x
+
8
)
(
2
x
+
9
)
2
−
(
2
x
+
9
)
(
2
x
+
7
)
\newline
Answer:
Get tutor help
Factor completely:
\newline
(
x
−
4
)
(
4
x
−
7
)
−
(
x
−
4
)
2
(
x
−
8
)
(x-4)(4 x-7)-(x-4)^{2}(x-8)
(
x
−
4
)
(
4
x
−
7
)
−
(
x
−
4
)
2
(
x
−
8
)
\newline
Answer:
Get tutor help
Factor completely:
\newline
(
x
+
4
)
(
5
x
−
9
)
+
(
4
x
−
7
)
(
x
+
4
)
(x+4)(5 x-9)+(4 x-7)(x+4)
(
x
+
4
)
(
5
x
−
9
)
+
(
4
x
−
7
)
(
x
+
4
)
\newline
Answer:
Get tutor help
Factor completely:
\newline
x
2
(
x
2
+
3
)
−
x
(
x
2
+
3
)
−
2
(
x
2
+
3
)
x^{2}\left(x^{2}+3\right)-x\left(x^{2}+3\right)-2\left(x^{2}+3\right)
x
2
(
x
2
+
3
)
−
x
(
x
2
+
3
)
−
2
(
x
2
+
3
)
\newline
Answer:
Get tutor help
Factor completely:
\newline
25
x
2
(
x
2
+
3
)
−
9
(
x
2
+
3
)
25 x^{2}\left(x^{2}+3\right)-9\left(x^{2}+3\right)
25
x
2
(
x
2
+
3
)
−
9
(
x
2
+
3
)
\newline
Answer:
Get tutor help
Factor completely:
\newline
6
x
(
3
x
−
10
)
+
5
(
3
x
−
10
)
6 x(3 x-10)+5(3 x-10)
6
x
(
3
x
−
10
)
+
5
(
3
x
−
10
)
\newline
Answer:
Get tutor help
Factor completely:
\newline
2
x
(
x
+
8
)
+
7
(
x
+
8
)
2 x(x+8)+7(x+8)
2
x
(
x
+
8
)
+
7
(
x
+
8
)
\newline
Answer:
Get tutor help
Factor completely:
\newline
4
x
2
(
x
+
8
)
−
7
(
x
+
8
)
4 x^{2}(x+8)-7(x+8)
4
x
2
(
x
+
8
)
−
7
(
x
+
8
)
\newline
Answer:
Get tutor help
Factor completely:
\newline
5
x
(
4
x
+
3
)
+
2
(
4
x
+
3
)
5 x(4 x+3)+2(4 x+3)
5
x
(
4
x
+
3
)
+
2
(
4
x
+
3
)
\newline
Answer:
Get tutor help
Factor completely:
\newline
(
x
+
1
)
2
−
(
5
x
−
8
)
2
(x+1)^{2}-(5 x-8)^{2}
(
x
+
1
)
2
−
(
5
x
−
8
)
2
\newline
Answer:
Get tutor help
Factor completely:
\newline
(
x
+
4
)
2
−
(
9
x
+
1
)
2
(x+4)^{2}-(9 x+1)^{2}
(
x
+
4
)
2
−
(
9
x
+
1
)
2
\newline
Answer:
Get tutor help
Factor completely:
\newline
(
6
x
−
7
)
2
−
(
x
+
4
)
2
(6 x-7)^{2}-(x+4)^{2}
(
6
x
−
7
)
2
−
(
x
+
4
)
2
\newline
Answer:
Get tutor help
Factor completely:
\newline
(
8
x
−
9
)
2
−
(
x
+
5
)
2
(8 x-9)^{2}-(x+5)^{2}
(
8
x
−
9
)
2
−
(
x
+
5
)
2
\newline
Answer:
Get tutor help
Factor completely:
\newline
(
x
−
2
)
2
−
(
10
x
+
7
)
2
(x-2)^{2}-(10 x+7)^{2}
(
x
−
2
)
2
−
(
10
x
+
7
)
2
\newline
Answer:
Get tutor help
Factor completely:
\newline
(
10
x
−
7
)
2
−
(
3
x
+
2
)
2
(10 x-7)^{2}-(3 x+2)^{2}
(
10
x
−
7
)
2
−
(
3
x
+
2
)
2
\newline
Answer:
Get tutor help
Factor completely:
\newline
(
4
x
−
1
)
2
−
(
x
+
10
)
2
(4 x-1)^{2}-(x+10)^{2}
(
4
x
−
1
)
2
−
(
x
+
10
)
2
\newline
Answer:
Get tutor help
Factor completely:
\newline
4
x
2
(
3
x
+
4
)
−
(
3
x
+
4
)
4 x^{2}(3 x+4)-(3 x+4)
4
x
2
(
3
x
+
4
)
−
(
3
x
+
4
)
\newline
Answer:
Get tutor help
Factor completely:
\newline
16
x
2
(
x
2
−
5
)
−
9
(
x
2
−
5
)
16 x^{2}\left(x^{2}-5\right)-9\left(x^{2}-5\right)
16
x
2
(
x
2
−
5
)
−
9
(
x
2
−
5
)
\newline
Answer:
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Factor completely:
\newline
3
(
10
x
+
7
)
+
(
10
x
+
7
)
2
3(10 x+7)+(10 x+7)^{2}
3
(
10
x
+
7
)
+
(
10
x
+
7
)
2
\newline
Answer:
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Factor completely:
\newline
(
8
x
−
7
)
2
−
(
2
x
+
1
)
2
(8 x-7)^{2}-(2 x+1)^{2}
(
8
x
−
7
)
2
−
(
2
x
+
1
)
2
\newline
Answer:
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Factor completely:
\newline
2
(
4
x
−
3
)
4
+
(
4
x
−
3
)
5
2(4 x-3)^{4}+(4 x-3)^{5}
2
(
4
x
−
3
)
4
+
(
4
x
−
3
)
5
\newline
Answer:
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Factor completely:
\newline
(
x
−
7
)
5
+
8
(
x
−
7
)
4
(x-7)^{5}+8(x-7)^{4}
(
x
−
7
)
5
+
8
(
x
−
7
)
4
\newline
Answer:
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Factor completely:
\newline
(
x
+
9
)
5
−
5
(
x
+
9
)
4
(x+9)^{5}-5(x+9)^{4}
(
x
+
9
)
5
−
5
(
x
+
9
)
4
\newline
Answer:
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Factor completely:
\newline
(
x
−
8
)
5
+
(
x
−
8
)
6
(x-8)^{5}+(x-8)^{6}
(
x
−
8
)
5
+
(
x
−
8
)
6
\newline
Answer:
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Factor completely:
\newline
5
(
x
+
4
)
2
+
(
x
+
4
)
3
5(x+4)^{2}+(x+4)^{3}
5
(
x
+
4
)
2
+
(
x
+
4
)
3
\newline
Answer:
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Factor completely:
\newline
10
(
6
x
+
7
)
6
−
(
6
x
+
7
)
7
10(6 x+7)^{6}-(6 x+7)^{7}
10
(
6
x
+
7
)
6
−
(
6
x
+
7
)
7
\newline
Answer:
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Factor completely:
\newline
7
(
8
x
+
9
)
3
−
(
8
x
+
9
)
4
7(8 x+9)^{3}-(8 x+9)^{4}
7
(
8
x
+
9
)
3
−
(
8
x
+
9
)
4
\newline
Answer:
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