USING THE TI-30XS CALCULATOR

ACT Mathematics Fundamentals 2 with pictures, examples, problems, & solutions

USING THE TI-30XS CALCULATOR

We will here demonstrate the "Table" features of the TI-30XS MultiView calculator.

Let's get right into it with an example.

What is the value of # when = ?

A.

B.

C.

D.

Observe. Step 1

Step 2

E. 24 Step 3

And finally, Step 4: Hit enter.

Voila. C. Now it's your turn. Here are the two primary buttons and their locations & functions.

- Located just to the left of clear - Opens up screen with = - Allows you to input a function

- Located two buttons above the on key - Serves as the variable in a function

Let's go through how to use the two different table modes, AUTO and ASK-x.

Generating a Complete Table: AUTO We are going to create a table for = +,#-, the same function from the example problem.

.,

Step 1: Hit

.

Step 2. Use the number keys, the variable key

, and

to type +,#-. Hit

.

.,

Step 3: Your screen should now look similar to this:

Step 4: Make sure that Start = 0 and that Step = 1. This guarantees that your table will start at = 0 and "step" up and down by 1 unit at a time. Step 5: Hit enter until you get the following table:

You have successfully created a table for = +,#- !

.,

Now, let's interpret what we have. When = 1, = 2. When = 2, = -. This means that this

.

function has the points (1, 2) and (2, -) on its graph. The ACT could ask any of these as a

.

question. Error means that 0 is not in the domain of the function. All of these are valuable facts.

Use the Table feature to answer the following ACT question: If = -6, what is the value of ,89- ?

,9+

A. -8 B. -4 C. 4 D. 9 E. 28

The solution is on the next page ? don't flip until you've worked through it!

Solution: The table should start out as follows:

Scrolling up then gives us

Our answer is therefore B. -4. Sometimes, though, we might have to scroll for a long time. What if the question asked for when = -50? Or, worse, what if it asked for a non-integer, like = - . ? That is where the following

-

feature comes in. Generating the Part of the Table You Want: ASK-x After we typed in our function last go-around, we said you wanted the following screen:

This generated what we called a complete table, or one that the calculator automatically generated. The ASK-x feature, though, will ask you for specific values, though, thus eliminating the need for scrolling and allowing you to type in fractions, decimals, or radicals. Let's see an example. If -9 - 13 = 16, then = ? A. - @..

A

B. - +A

A

C. - @B

A

D. - @

.

E. @C@

A

Ugh, not pretty answer choices. Now, this problem could be easily done with a little algebra, but here let's try to use our technology strategically.

Step 1: Hit

.

Step 2. Using the number keys and the variable key

to type -9( - 13). When done, hit

NOTE: Because serves as a dummy variable in this question, we can replace it with .

Step 3: Your screen should now look similar to this:

Step 4: Change the AUTO to ASK-. Your screen should now look like this:

Step 5: Hit

. Your screen should now look like this:

Step 6: As you can see, there are no -values, because the calculator is waiting on you to give it one. Test out each of the answer choices until you get the number on the other side of the equation in the problem (16). Once you type in choice A, - @.. (type it using a division sign), you get the

A

following:

Clearly, A. ? is not our answer choice.

If you continue going through your choices, you will eventually get:

And there it is! The solution to our question, -9 - 13 = 16, is E. .

Using the Table feature to solve more difficult problems Example: For what value of , if any, is the equation - 1 + = - 7 + true? A. -4 B. -1 C. 0 D. 4 K. There is no value of for which the equation is true. Solution: This time, we are going to generate a table for both functions and see where they have overlap. First, create a table for = - 1 +. Use the ASK-x feature. Type in each of the answer choices. Table 1: = - 1 +

Next, create a table for = - 7 +. Type in the same answer choices, and look to see if any of the -values end up the same.

Notice how the -value of 4 gave a -value of 9 for both functions (in both tables). That means our answer is D. 4. Here's another.

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