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Math Problems
Grade 8
Reciprocals and multiplicative inverses
For
x
=
4
x = 4
x
=
4
, calculate
5
x
3
+
x
2
5x^3 + x^2
5
x
3
+
x
2
.
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Simplify by adding, subtracting, multiplying, or dividing as indicated:
\newline
234
18
\frac{234}{18}
18
234
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What is the reciprocal of
5
6
\frac{5}{6}
6
5
?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
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What is the reciprocal of
1
4
\frac{1}{4}
4
1
?
\newline
____
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What is the reciprocal of
4
7
\frac{4}{7}
7
4
?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
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What is the reciprocal of
4
9
\frac{4}{9}
9
4
?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
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What is the reciprocal of
1
5
\frac{1}{5}
5
1
?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
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What is the reciprocal of
5
8
\frac{5}{8}
8
5
?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
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What is the reciprocal of
7
8
\frac{7}{8}
8
7
?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
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What is the multiplicative inverse of
−
5
3
-\frac{5}{3}
−
3
5
?
\newline
_____
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What is the multiplicative inverse of
−
3
2
-\frac{3}{2}
−
2
3
?
\newline
_____
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What is the reciprocal of
10
7
\frac{10}{7}
7
10
?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
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What is the multiplicative inverse of
−
2
7
-\frac{2}{7}
−
7
2
?
\newline
____
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What is the reciprocal of
−
8
3
-\frac{8}{3}
−
3
8
?
\newline
_____
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What is the reciprocal of
−
10
7
-\frac{10}{7}
−
7
10
?
\newline
_____
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What is the multiplicative inverse of
−
6
5
-\frac{6}{5}
−
5
6
?
\newline
____
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What is the multiplicative inverse of
−
2
5
-\frac{2}{5}
−
5
2
?
\newline
_____
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What is the multiplicative inverse of
−
6
7
-\frac{6}{7}
−
7
6
?
\newline
____
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What is the multiplicative inverse of
5
6
\frac{5}{6}
6
5
?
\newline
____
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What is the reciprocal of
10
9
\frac{10}{9}
9
10
?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
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What is the reciprocal of
9
7
\frac{9}{7}
7
9
?
\newline
_____
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What is the reciprocal of
−
7
6
-\frac{7}{6}
−
6
7
?
\newline
_____
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What is the multiplicative inverse of
−
7
9
-\frac{7}{9}
−
9
7
?
\newline
____
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What is the multiplicative inverse of
−
9
2
-\frac{9}{2}
−
2
9
?
\newline
____
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What is the reciprocal of
−
2
3
-\frac{2}{3}
−
3
2
?
\newline
_____
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What is the multiplicative inverse of
−
3
4
-\frac{3}{4}
−
4
3
?
\newline
____
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For what value of
x
x
x
is the expression
1
x
−
3
\frac{1}{x-3}
x
−
3
1
undefined?
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Is
0
0
0
.
2
2
2
the multiplicative inverse of
2
1
2
2 \frac{1}{2}
2
2
1
? Why or why not?
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2
2
2
. What number must be subtracted from
67345643
67345643
67345643
to get
54903891
54903891
54903891
?
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Find the reciprocal of the fraction
2
3
\frac{2}{3}
3
2
.
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Which expression is equivalent to
1.5
u
−
2.3
+
5.4
u
+
2.9
?
1.5 u-2.3+5.4 u+2.9 ?
1.5
u
−
2.3
+
5.4
u
+
2.9
?
\newline
7.5
u
7.5 u
7.5
u
\newline
6.9
u
−
5.2
6.9 u-5.2
6.9
u
−
5.2
\newline
6.9
u
+
0.6
6.9 u+0.6
6.9
u
+
0.6
\newline
7
7
7
.
5
5
5
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For what value of
x
x
x
is the expression
5
6
−
2
x
\frac{5}{6}-2x
6
5
−
2
x
undefined?
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