### All ACT Math Resources

## Example Questions

### Example Question #2 : How To Add Trinomials

**Possible Answers:**

**Correct answer:**

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 #11 : Trinomials

Choose the answer which best simplifies the following expression:

**Possible Answers:**

**Correct answer:**

To solve this problem simply remove the parentheses and add the like terms:

### Example Question #81 : Variables

Choose the answer which best simplifies the following expression:

**Possible Answers:**

**Correct answer:**

To simplify, remove parentheses and combine like terms:

### Example Question #1 : How To Add Trinomials

Choose the answer which best simplifies the following expression:

**Possible Answers:**

**Correct answer:**

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 #6 : How To Add Trinomials

Choose the answer which best simplifies the following expression:

**Possible Answers:**

**Correct answer:**

To simplify, simply remove the parentheses and combine like terms:

### Example Question #1 : How To Subtract Trinomials

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

**Possible Answers:**

4 F, 3 D, 2 G

36 F, 12 D, 2 G

9 F, 4 D, 1 G

15 F, 8 D, 3 G

6 F, 2 D, 1 G

**Correct answer:**

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 #62 : Polynomials

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?

**Possible Answers:**

**Correct answer:**

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:

**Possible Answers:**

**Correct answer:**

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:

### Example Question #64 : Polynomials

Choose the answer which best simplifies the following expression:

**Possible Answers:**

**Correct answer:**

To simplify, remove parentheses and combine like terms:

### Example Question #65 : Polynomials

Choose the answer which best simplifies the following expression:

**Possible Answers:**

**Correct answer:**

To simplify, remove parentheses and combine like terms:

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