Question Determine if given terms are like terms. If so, combine them and include the unit. (a) lbs, lbs - like. (b) s, cats - not like. (c) oranges, mi - not like.
Studdy Solution
STEP 1
Assumptions
1. Like terms are terms that have the same variable raised to the same power or are the same type of unit.
2. Unlike terms are terms that have different variables or different types of units.
3. Combining like terms involves adding or subtracting the coefficients of the like terms.
STEP 2
Determine if the terms "5 pounds" and "2 pounds" are like terms.
1. Both terms have the same unit "pounds".
2. Since they have the same unit, they are like terms.
STEP 3
Combine the like terms "5 pounds" and "2 pounds".
STEP 4
Write the result for part (a).
Like terms
STEP 5
Determine if the terms "3 seconds" and "7 cats" are like terms.
1. One term has the unit "seconds" and the other has the unit "cats".
2. Since they have different units, they are not like terms.
STEP 6
Write the result for part (b).
Not like terms
STEP 7
Determine if the terms "10 oranges" and "4 miles" are like terms.
1. One term has the unit "oranges" and the other has the unit "miles".
2. Since they have different units, they are not like terms.
STEP 8
Write the result for part (c).
Not like terms
The solution is:
(a) Like terms:
(b) Not like terms
(c) Not like terms
Was this helpful?
