Trinomials - ACT Math
Card 0 of 216
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:
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
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:
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Simplify the following:
Simplify the following:
To multiply trinomials, simply foil out your factored terms by multiplying each term in one trinomial to each term in the other trinomial. I will show this below by spliting up the first trinomial into its 3 separate terms and multiplying each by the second trinomial.
Now we treat this as the addition of three monomials multiplied by a trinomial.
Now combine like terms and order by degree, largest to smallest.
To multiply trinomials, simply foil out your factored terms by multiplying each term in one trinomial to each term in the other trinomial. I will show this below by spliting up the first trinomial into its 3 separate terms and multiplying each by the second trinomial.
Now we treat this as the addition of three monomials multiplied by a trinomial.
Now combine like terms and order by degree, largest to smallest.
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Solve: 
Solve:
The 
is distributed and multiplied to each term 
, 
, and 
.
The
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Which of the following is equal to 
?
Which of the following is equal to
is multiplied to both 
and 
and 
is only multiplied to 
.
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What is 
?
What is
is distributed first to 
and 
is distributed to 
. This results in 
and 
. Like terms can then be added together. When added together, 
, 
, and 
. This makes the correct answer 
.
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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.
Compare your answer with the correct one above
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:
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 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:
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
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:
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Add 
and 
.
Add
To add the trinomials, simply eliminate the parentheses and add like terms.
To add the trinomials, simply eliminate the parentheses and add like terms.
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Like terms can be added together: 
is added to 
, 
is added to 
, and 
is added to 
. The resulting answer choice that is correct is 
.
Like terms can be added together:
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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 problem simply remove the parentheses and add the like terms:
To solve this problem simply remove the parentheses and add the 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, simply remove the parentheses and combine like terms:
To simplify, simply remove the parentheses 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:
Note that adding or subtracting a zero to the end of this equation is unnecessary.
To simplify, remove parentheses and combine like terms:
Note that adding or subtracting a zero to the end of this equation is unnecessary.
Compare your answer with the correct one above