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Algebra questions and answers: Simplifying algebraic expressions
What is
3
7
(21m+42n)+
5
6
(
18
m
-
18
n
)
expressed in its simplest form?
A. 6m+3n
B. 24m+3n
C. 24m-3n
D. 24m+33n
(3m 36s)
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1.
What is the expression 7(x+4y+2) +5(2x-y+3) in its simplified form? A. 17x+23y+29 B. 3x+3y+29 C. 17x+3y+5 D. 9x+27y+17
2.
Which one of the following expressions is the simplest form of
2
(
a
+
2
b
)
+
a
-
4
b
4
(
2
b
-
a
)
-
5
b
+
4
a
3.
Which one of the following expressions is the simplest form of
4
(
t
q
+
t
)
+
2
(
3
q
-
2
t
q
)
2
(
t
+
q
)
+
2
q
4.
Which one of the following expressions is equal to
5
(
2
a
-
3
b
)
+
5
(
a
+
5
b
)
3
(
4
a
-
3
b
)
+
3
(
a
+
4
b
)
5.
Which one of the following is the simplest form of
7
(
2
r
+
3
)
+
4
r
-
3
2
(
r
+
1
)
+
4
r
+
7
6.
which one of the following expression is the simplified form of
x
+
3
(
x
+
2
y
)
-
2
x
+
2
y
x
7.
What is the simplified form of:
5
x
+
1
4
(
8
x
-
2
y
)
? A. 37x-8y B. 7x-
1
2
y
C. 28x-2y D. 7x-2y
8.
Which one of the expressions below is the simplest form of
6
(
x
+
2
y
)
+
3
x
2
(
x
+
2
y
)
-
2
y
9.
At a school prize giving day the number of men was half that of women. The numbers of children was three times that of women. The number of women who attended was 3x. what was the sum of men and children? A. 10
1
2
x
B. 2
1
2
x
C.13
1
2
x
D.21
x
10.
Which one of the expressions below is the simplest form of
6
(
p
+
3
r
)
+
p
4
(
2
r
+
p
)
-
r
11.
What is the simplified form of the expression 3(3x-y+1) +2(3y-x+4)? A. 8x+5y+5 B. 11x+9y+11 C. 7x+3y+11 D. 2x+2y+10
12.
What is
3
7
(21m+42n)+
5
6
(
18
m
-
18
n
)
expressed in its simplest form? A. 6m+3n B. 24m+3n C. 24m-3n D. 24m+33n
13.
What is when simplified?
1
3
(x+6)+
1
2
(x-
2
2
)
14.
what is
12
x
+
9
x
y
+
18
y
9
y
in its simplest form?
15.
Which one of the following expressions is the simplified form of
2
(
3
x
+
y
)
+
4
x
4
(
x
+
2
y
)
-
y
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