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Math Problems
Grade 6
Solve for a variable using properties of multiplication
Rewrite the function by completing the square.
\newline
f
(
x
)
=
x
2
−
9
x
+
14
f(x) = x^2 - 9x + 14
f
(
x
)
=
x
2
−
9
x
+
14
\newline
f
(
x
)
=
(
x
+
)
2
+
f(x) = (x + )^2 +
f
(
x
)
=
(
x
+
)
2
+
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Estimate. Which sign makes the statement true?
\newline
132
÷
35
8
132 \div \frac{35}{8}
132
÷
8
35
?
?
?
15
15
15
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
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Estimate. Which sign makes the statement true?
\newline
7981
5
÷
2
?
792
\frac{7981}{5} \div 2\;?\;792
5
7981
÷
2
?
792
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
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Estimate. Which sign makes the statement true?
\newline
1
,
544
2
3
÷
33
5
1,544\frac{2}{3} \div \frac{33}{5}
1
,
544
3
2
÷
5
33
?
\text{?}
?
893
893
893
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
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Type the missing number.
\newline
Hint: Use properties of multiplication.
\newline
0
=
_
_
_
_
_
⋅
914
0 = \_\_\_\_\_ \cdot 914
0
=
_____
⋅
914
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Type the missing number.
\newline
Hint: Use properties of multiplication.
\newline
114
⋅
_
_
_
_
_
=
0
114 \cdot \_\_\_\_\_ = 0
114
⋅
_____
=
0
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Type the missing number.
\newline
Hint: Use properties of multiplication.
\newline
745
⋅
867
=
867
⋅
_
_
_
_
745 \cdot 867 = 867 \cdot \_\_\_\_
745
⋅
867
=
867
⋅
____
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What value of
w
w
w
makes this multiplication sentence true?
\newline
Hint: Use properties of multiplication.
\newline
w
⋅
633
=
633
⋅
832
w \cdot 633 = 633 \cdot 832
w
⋅
633
=
633
⋅
832
\newline
w
=
w =
w
=
_____
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Type the missing number.
\newline
Hint: Use properties of multiplication.
\newline
_
_
_
_
_
⋅
993
=
0
\_\_\_\_\_ \cdot 993 = 0
_____
⋅
993
=
0
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What value of
p
p
p
makes this multiplication sentence true?
\newline
Hint: Use properties of multiplication.
\newline
(
p
⋅
36
)
⋅
849
=
107
⋅
(
36
⋅
849
)
(p \cdot 36) \cdot 849 = 107 \cdot (36 \cdot 849)
(
p
⋅
36
)
⋅
849
=
107
⋅
(
36
⋅
849
)
\newline
p
=
p =
p
=
_____
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What value of
c
c
c
makes this multiplication sentence true?
\newline
Hint: Use properties of multiplication.
\newline
954
⋅
c
=
330
⋅
954
954 \cdot c = 330 \cdot 954
954
⋅
c
=
330
⋅
954
\newline
c
=
c =
c
=
_____
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Type the missing number.
\newline
Hint: Use properties of multiplication.
\newline
(
_
_
_
_
_
+
637
)
⋅
223
=
773
⋅
223
+
637
⋅
223
(\_\_\_\_\_ + 637) \cdot 223 = 773 \cdot 223 + 637 \cdot 223
(
_____
+
637
)
⋅
223
=
773
⋅
223
+
637
⋅
223
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What value of
g
g
g
makes this multiplication sentence true?
\newline
Hint: Use properties of multiplication.
\newline
g
⋅
1
=
336
g \cdot 1 = 336
g
⋅
1
=
336
\newline
g
=
g =
g
=
_____
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What value of
d
d
d
makes this multiplication sentence true?
\newline
Hint: Use properties of multiplication.
\newline
56
⋅
d
=
421
⋅
56
56 \cdot d = 421 \cdot 56
56
⋅
d
=
421
⋅
56
\newline
d
=
d =
d
=
_____
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What value of
t
t
t
makes this multiplication sentence true?
\newline
Hint: Use properties of multiplication.
\newline
774
⋅
953
=
953
⋅
t
774 \cdot 953 = 953 \cdot t
774
⋅
953
=
953
⋅
t
\newline
t
=
t =
t
=
_____
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Type the missing number.
\newline
Hint: Use properties of multiplication.
\newline
895
=
895
⋅
895 = 895 \cdot
895
=
895
⋅
_
_
\_\_
__
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What value of
c
c
c
makes this multiplication sentence true?
\newline
Hint: Use properties of multiplication.
\newline
(
649
⋅
439
)
⋅
422
=
649
⋅
(
439
⋅
c
)
(649 \cdot 439) \cdot 422 = 649 \cdot (439 \cdot c)
(
649
⋅
439
)
⋅
422
=
649
⋅
(
439
⋅
c
)
\newline
c
=
c =
c
=
_____
Get tutor help
Type the missing number.
\newline
Hint: Use properties of multiplication.
\newline
0
=
_
_
_
_
_
⋅
316
0 = \_\_\_\_\_ \cdot 316
0
=
_____
⋅
316
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What value of
p
p
p
makes this multiplication sentence true?
\newline
Hint: Use properties of multiplication.
\newline
1
⋅
538
=
p
1 \cdot 538 = p
1
⋅
538
=
p
\newline
p
=
p =
p
=
_____
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Type the missing number.
\newline
Hint: Use properties of multiplication.
\newline
558
⋅
(
314
+
633
)
=
558
⋅
_
_
_
_
+
558
⋅
633
558 \cdot (314 + 633) = 558 \cdot \_\_\_\_ + 558 \cdot 633
558
⋅
(
314
+
633
)
=
558
⋅
____
+
558
⋅
633
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Type the missing number.
\newline
Hint: Use properties of multiplication.
\newline
705
⋅
0
=
705 \cdot 0 =
705
⋅
0
=
_____
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What value of
r
r
r
makes this multiplication sentence true?
\newline
Hint: Use properties of multiplication.
\newline
307
⋅
0
=
r
307 \cdot 0 = r
307
⋅
0
=
r
\newline
r
=
r =
r
=
_____
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Type the missing number.
\newline
Hint: Use properties of multiplication.
\newline
795
=
795
⋅
795 = 795 \cdot
795
=
795
⋅
_
_
\_\_
__
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What value of
g
g
g
makes this multiplication sentence true?
\newline
Hint: Use properties of multiplication.
\newline
g
=
0
⋅
828
g = 0 \cdot 828
g
=
0
⋅
828
\newline
g
=
g =
g
=
_____
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Find all the factor pairs for
75
75
75
and complete the equations.
\newline
75
=
_
_
_
×
75
75 = \_\_\_ \times 75
75
=
___
×
75
\newline
75
=
3
×
_
_
_
75 = 3 \times \_\_\_
75
=
3
×
___
\newline
75
=
5
×
_
_
_
75 = 5 \times \_\_\_
75
=
5
×
___
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Marie wants to buy a new car. She saves
25
%
25\%
25%
of her wage and is left with
$
600
\$600
$600
spending money. What is Marie's wage?
\newline
(A)
$
450
\$450
$450
\newline
(B)
$
625
\$625
$625
\newline
(C)
$
750
\$750
$750
\newline
(D)
$
800
\$800
$800
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y
=
−
3
(
x
−
2
)
2
+
12
y=-3(x-2)^{2}+12
y
=
−
3
(
x
−
2
)
2
+
12
\newline
Vertex:
□
\square
□
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Evaluate
\newline
78
+
5
+
9917
÷
100
78+5+9917\div100
78
+
5
+
9917
÷
100
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1
2
+
1
6
=
\frac{1}{2}+\frac{1}{6}=
2
1
+
6
1
=
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3
2
+
6
−
2
×
7
3^{2}+6-2 \times 7
3
2
+
6
−
2
×
7
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As a fraction in simplest terms, what would you multiply the first number by to get the second?
\newline
First number:
8
8
8
Second number:
60
60
60
\newline
8
⋅
□
=
60
8 \cdot \square=60
8
⋅
□
=
60
\newline
Submit Answer
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17000
=
5000
+
240
m
17000 = 5000 + 240m
17000
=
5000
+
240
m
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The volume of a right cone is
180
π
180 \pi
180
π
units
3
^{3}
3
. If its radius measures
6
6
6
units, find its height.
\newline
Answer: units
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Bilal is assembling a set of bunkbeds and wants to make sure the support posts are perpendicular to the floor. He measures that the posts are
165
165
165
centimeters
(
c
m
)
(\mathrm{cm})
(
cm
)
tall and
220
c
m
220 \mathrm{~cm}
220
cm
apart. How long should the diagonal measurement be, in
c
m
\mathrm{cm}
cm
, if the support posts are perpendicular to the floor?
\newline
Choose
1
1
1
answer:
\newline
(A)
75
75
75
\newline
(B)
130
130
130
\newline
(C)
275
275
275
\newline
(D)
385
385
385
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