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Let’s check out your problem:
Which expression is equivalent to the expression below?
\newline
9
y
+
9
z
+
y
+
y
+
y
+
y
+
y
9 y+9 z+y+y+y+y+y
9
y
+
9
z
+
y
+
y
+
y
+
y
+
y
\newline
14
y
+
9
z
14 y+9 z
14
y
+
9
z
\newline
4
y
+
9
z
4 y+9 z
4
y
+
9
z
\newline
13
y
13 y
13
y
\newline
23
y
23 y
23
y
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Math Problems
Grade 7
Simplify expressions by combining like terms
Full solution
Q.
Which expression is equivalent to the expression below?
\newline
9
y
+
9
z
+
y
+
y
+
y
+
y
+
y
9 y+9 z+y+y+y+y+y
9
y
+
9
z
+
y
+
y
+
y
+
y
+
y
\newline
14
y
+
9
z
14 y+9 z
14
y
+
9
z
\newline
4
y
+
9
z
4 y+9 z
4
y
+
9
z
\newline
13
y
13 y
13
y
\newline
23
y
23 y
23
y
Combine like terms with
y
y
y
:
Combine the like terms that involve
y
y
y
.
9
y
+
y
+
y
+
y
+
y
+
y
=
9
y
+
5
y
9y + y + y + y + y + y = 9y + 5y
9
y
+
y
+
y
+
y
+
y
+
y
=
9
y
+
5
y
Add coefficients of y:
Add the coefficients of y together.
9
y
+
5
y
=
14
y
9y + 5y = 14y
9
y
+
5
y
=
14
y
Combine terms with y and z:
Combine the term with z to the sum of terms with y.
14
y
+
9
z
14y + 9z
14
y
+
9
z
Check for matching options:
Check if any of the given options match the simplified expression.
\newline
The expression
14
y
+
9
z
14y + 9z
14
y
+
9
z
matches one of the given options.
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