All ACT Math Resources
Example Questions
Example Question #11 : Trinomials
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 .
Example Question #1 : How To Add Trinomials
Add and .
To add the trinomials, simply eliminate the parentheses and add like terms.
Example Question #1 : How To Add Trinomials
Like terms can be added together: is added to , is added to , and is added to . The resulting answer choice that is correct is .
Example Question #1 : How To Add Trinomials
Choose the answer which best simplifies the following expression:
To solve this problem simply remove the parentheses and add the like terms:
Example Question #3 : How To Add Trinomials
Choose the answer which best simplifies the following expression:
To simplify, remove parentheses and combine like terms:
Example Question #4 : How To Add Trinomials
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.
Example Question #5 : How To Add Trinomials
Choose the answer which best simplifies the following expression:
To simplify, simply remove the parentheses and combine like terms:
Example Question #671 : Algebra
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
15 F, 8 D, 3 G
4 F, 3 D, 2 G
6 F, 2 D, 1 G
36 F, 12 D, 2 G
9 F, 4 D, 1 G
9 F, 4 D, 1 G
We can represent this as a subtraction of trinomials.
(12F + 6D + 2G) – (3F + 2D + 1G) = 9F + 4D + 1G.
Example Question #2162 : Act Math
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?
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:
Example Question #1 : How To Subtract Trinomials
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: