How to subtract trinomials - ACT Math
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A hockey team has 12 forwards, 6 defensemen, and 2 goalies. When they place 3 forwards, 2 defensemen, and 1 goalie on the ice, how many of each type are on the bench, (not on the ice)? F=Forward, D = Defensemen, G= Goalie
A hockey team has 12 forwards, 6 defensemen, and 2 goalies. When they place 3 forwards, 2 defensemen, and 1 goalie on the ice, how many of each type are on the bench, (not on the ice)? F=Forward, D = Defensemen, G= Goalie
We can represent this as a subtraction of trinomials.
(12F + 6D + 2G) – (3F + 2D + 1G) = 9F + 4D + 1G.
We can represent this as a subtraction of trinomials.
(12F + 6D + 2G) – (3F + 2D + 1G) = 9F + 4D + 1G.
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You go to the grocery store and pick up 
apples, 
peaches, and 
oranges. Today you had some friends over who ate 
apples, 
peaches, and 
oranges. Which of the following represents how many of each you now have left if 
= apples, 
= peaches, and 
= oranges?
You go to the grocery store and pick up
1. Represent the situation with two sets of trinomials:
Before your friends ate the fruit:
The fruit your friends ate:
2. Subtract the first trinomial from the second trinomial:
1. Represent the situation with two sets of trinomials:
Before your friends ate the fruit:
The fruit your friends ate:
2. Subtract the first trinomial from the second trinomial:
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Choose the answer which best simplifies the following expression:
Choose the answer which best simplifies the following expression:
To solve this expression, merely remove the parentheses (bearing in mind that because the second trinomial is being subtracted, it will be negative) and combine like terms:
To solve this expression, merely remove the parentheses (bearing in mind that because the second trinomial is being subtracted, it will be negative) and combine like terms:
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Choose the answer which best simplifies the following expression:
Choose the answer which best simplifies the following expression:
To simplify, remove parentheses and combine like terms:
To simplify, remove parentheses and combine like terms:
Compare your answer with the correct one above
Choose the answer which best simplifies the following expression:
Choose the answer which best simplifies the following expression:
To simplify, remove parentheses and combine like terms:
To simplify, remove parentheses and combine like terms:
Compare your answer with the correct one above