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Remember the order of operations.
What operations do the sum of
and twice a number
represent?
13+2h
We are asked to write an algebraic expression for the given verbal expression. The key phrases are twice a number
and the sum of.
They indicate multiplication and addition, respectively. In any expression that contains both addition and multiplication, we should start with multiplication according to the order of operations. Let's first rewrite twice a number.
2 * ...
The two terms that are being multiplied are 2
and a number.
Since 2
comes first in the verbal expression, it should be on the left-hand side of the addition. When we say a number,
this indicates an arbitrary number or a variable. If we call this number h,
we can complete our expression.
2h.
Finally, we have the second key phrase, the sum of ... and ...
. This indicates that we should add two things.
&... + ...
The two terms that we are adding together are 13
and 2h.
Since 13
comes first in the verbal expression, it should be on the left-hand side of the addition.
The sum& of 13 and 2h
& 13 + 2h
Note that this is only one of the multiple ways to algebraically express the given verbal expression.