Complete the table to combine like terms when adding Expression One and Expression Two.
8y
14
6
9y
–4
10y
Terms from Expression One
Like Terms from Expression Two
Combined Term
y
10
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To combine like terms when adding Expression One and Expression Two, we need to identify and group the like terms, which are those with the same variable component.
Given Terms:
– Expression One: (8y), (14), (6)
– Expression Two: (9y), (-4), (10y)
Step 1: Group like terms
– For the (y) terms: (8y) from Expression One, (9y) from Expression Two, and (10y) from Expression Two.
– For the constant (number) terms: (14) and (6) from Expression One, and (-4) from Expression Two.
Step 2: Combine like terms
1. For the (y) terms:
(8y + 9y + 10y = (8 + 9 + 10)y = 27y)
2. For the constant terms:
(14 + 6 – 4 = 16)
Step 3: Fill the table
| Terms from Expression One | Like Terms from Expression Two | Combined Term |
|————————–|——————————-|——————|
| (8y) | (9y) and (10y) | (27y) |
| (14) | (-4) |