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Math Problems
Grade 6
Solve one-step addition and subtraction equations with decimals and fractions
Solve the following equation for
x
x
x
. Express your answer in the simplest form.
\newline
−
6
x
+
10
−
9
=
8
−
2
(
9
x
+
4
)
-6 x+10-9=8-2(9 x+4)
−
6
x
+
10
−
9
=
8
−
2
(
9
x
+
4
)
\newline
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L. (i)
−
m
⋅
H
-\mathrm{m} \cdot \mathrm{H}
−
m
⋅
H
=
\newline
11
11
11
.
3
+
3.4
=
3+3.4=
3
+
3.4
=
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8.5
×
(
d
−
4.5
)
8.5 \times (d - 4.5)
8.5
×
(
d
−
4.5
)
for
d
=
5.5
d = 5.5
d
=
5.5
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Substitute and solve
m
−
1.7
m-1.7
m
−
1.7
for
m
=
4
m = 4
m
=
4
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c.
1
=
1
4
c
1=\frac{1}{4} c
1
=
4
1
c
c
=
1
4
c=\frac{1}{4}
c
=
4
1
\newline
d.
5
1
2
=
d
+
1
4
5 \frac{1}{2}=d+\frac{1}{4}
5
2
1
=
d
+
4
1
11
2
\frac{11}{2}
2
11
\newline
e.
2
e
=
6.4
2 e=6.4
2
e
=
6.4
\newline
6.4
=
2
c
=
3.2
6.4=2 c=3.2
6.4
=
2
c
=
3.2
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Solve for
w
w
w
.
\newline
w
−
5
=
3.3
w - 5 = 3.3
w
−
5
=
3.3
\newline
w
=
w =
w
=
_
_
_
_
_
\_\_\_\_\_
_____
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Solve for
q
q
q
.
\newline
q
−
17.9
=
1.1
q - 17.9 = 1.1
q
−
17.9
=
1.1
\newline
q
=
q =
q
=
_
_
_
_
_
\_\_\_\_\_
_____
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Solve for
t
t
t
.
\newline
5.7
=
t
+
4.4
5.7 = t + 4.4
5.7
=
t
+
4.4
\newline
t
=
t =
t
=
_
_
_
_
_
\_\_\_\_\_
_____
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Solve for
b
b
b
.
\newline
b
−
2.2
=
2
b - 2.2 = 2
b
−
2.2
=
2
\newline
b
=
b =
b
=
_
_
_
_
_
\_\_\_\_\_
_____
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0.7
a
−
0.8
b
=
−
0.1
a
−
1.4
=
−
6
(
b
−
0.1
)
0.7 a - 0.8b = -0.1\ a - 1.4 = -6(b - 0.1)
0.7
a
−
0.8
b
=
−
0.1
a
−
1.4
=
−
6
(
b
−
0.1
)
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j
2
+
7
=
12
\frac{j}{2} + 7 = 12
2
j
+
7
=
12
What is
j
j
j
?
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Find
a
3
a_3
a
3
.
a
1
=
5
a_1=5
a
1
=
5
a
n
=
a
n
−
1
+
5
a_n=a_{n-1}+5
a
n
=
a
n
−
1
+
5
Write your answer as an integer or fraction in simplest form.
a
3
=
a_3=
a
3
=
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Solve for
x
x
x
:
\newline
10
+
5
(
−
5.1
x
−
4.6
)
−
8.5
x
=
4
10+5(-5.1 x-4.6)-8.5 x=4
10
+
5
(
−
5.1
x
−
4.6
)
−
8.5
x
=
4
\newline
Answer:
x
=
x=
x
=
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Solve for
x
x
x
:
\newline
3
+
9
x
=
6.9
−
(
x
−
2.7
)
+
6.7
x
3+9 x=6.9-(x-2.7)+6.7 x
3
+
9
x
=
6.9
−
(
x
−
2.7
)
+
6.7
x
\newline
Answer:
x
=
x=
x
=
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Solve for
x
x
x
:
\newline
−
(
−
4
x
−
6.6
)
+
7
=
−
9.4
-(-4 x-6.6)+7=-9.4
−
(
−
4
x
−
6.6
)
+
7
=
−
9.4
\newline
Answer:
x
=
x=
x
=
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Solve for
z
z
z
.
\newline
0.4
+
z
1.5
=
1.8
0.4+\frac{z}{1.5}=1.8
0.4
+
1.5
z
=
1.8
\newline
Answer:
z
=
z=
z
=
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Solve for
c
c
c
.
\newline
4.2
=
−
0.3
−
c
0.4
4.2=-0.3-\frac{c}{0.4}
4.2
=
−
0.3
−
0.4
c
\newline
Answer:
c
=
c=
c
=
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Solve for
a
a
a
.
\newline
−
2.9
=
a
3.6
−
1.9
-2.9=\frac{a}{3.6}-1.9
−
2.9
=
3.6
a
−
1.9
\newline
Answer:
a
=
a=
a
=
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Solve for
b
b
b
.
\newline
−
0.5
=
0.5
−
b
2.3
-0.5=0.5-\frac{b}{2.3}
−
0.5
=
0.5
−
2.3
b
\newline
Answer:
b
=
b=
b
=
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Find the value of
x
x
x
in the equation below.
\newline
x
+
14
=
19.9
x+14=19.9
x
+
14
=
19.9
\newline
Answer:
x
=
x=
x
=
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Find the value of
x
x
x
in the equation below.
\newline
x
−
17.5
=
10.6
x-17.5=10.6
x
−
17.5
=
10.6
\newline
Answer:
x
=
x=
x
=
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Solve for
a
a
a
.
\newline
0.25
a
+
0.5
=
4.5
0.25 a+0.5=4.5
0.25
a
+
0.5
=
4.5
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Solve for
f
f
f
.
\newline
0.3
=
0.5
f
−
0.7
0.3=0.5 f-0.7
0.3
=
0.5
f
−
0.7
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2
2
2
.
72
72
72
+
0
0
0
.
772
772
772
=
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4.42
+
0.282
=
4.42+0.282=
4.42
+
0.282
=
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Evaluate.
\newline
48.5
−
0.434
=
48.5-0.434=
48.5
−
0.434
=
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Evaluate.
\newline
6.168
−
0.432
=
6.168-0.432=
6.168
−
0.432
=
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Evaluate.
\newline
3.05
−
0.338
=
3.05-0.338=
3.05
−
0.338
=
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Evaluate.
\newline
4.43
−
0.283
=
4.43-0.283=
4.43
−
0.283
=
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Evaluate.
\newline
96.7
−
0.163
=
96.7-0.163=
96.7
−
0.163
=
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