User Guide – SAT Made Easy

Topic

Description

Correct

Incorrect

1) General usage of the TI89/Voyage200

a) Multiplication of variables

b) Enter .5 instead of ½ to obtain decimal answers.

c) Roots: i.e. ³√x

d) Denominators

e) Squaring sin(x)

f) Attention to parentheses:

g) Euler Number

h) Parentheses

x*y^2, x*cos(x)

use ½*x or .5*x

x^(1/3)

1/(x-2)

sin(x)^2

I.e. ln(sin(5x))/(x^2-1)

e (using Diamond e^x)

(x^2-9)/(3+x^2)

xy^2, xcos(x)

3√x

1/x-2

sin(x^2)

e (Alpha e)

(x^2-9)/3+x^2

2) General usage of CME

a) Use ESC to exit the current module or SATME altogether.

b) Incorrect Entries – see above - yield the error message: “Invalid Entry”. Press ENTER and correct expression.

c) To force decimal answers, use decimal input (see also 1b)

d) Provide 100,000 bytes of RAM and 150,000 of Flash ROM (to check:2^nd 6). Deleting or archiving files may be necessary: use 2^nd “–“ (VAR-LINK), F4 to select files, then F1 to delete or archive. Archiving might be a good way to manage programs, variables, etc as a loss of battery power may delete any unarchived files.

e) When using SATME, its program files are temporarily placed in the MAIN folder. Thus, empty MAIN folder when starting SATME to prevent any file reoccurrences (and thus loading error).

f) Should SAT Made Easy not start (anymore) or act strange, reset ALL memory (2^nd 6, then F1) as memory may be corrupted.

g) Use the latest Operating System (OS) using TI Connect.
h) Starting and ending SATME may take 2 to 3 seconds due to loading/unloading of software files.

3) Garbage Collection	Nothing to worry about. The calculator reorganizes memory for proper functioning of APPS .
4) Incorrect Program Termination.	If SATME is not properly terminated using ESC, these two error messages may occur. Simply press ESC (up to 100 times) , then restart SATME. If trouble persists: take out all 5 batteries and reinstall SATME.

TOPIC

Correct Usage:

Corresponding screen shots

Incorrect Usage:

F1: ALGEBRA

5) 1: Compute any expression without variables.

1) (-17*(-4))*(-12*15)

1) [-17*(-4)]*[-12*15] – only use parentheses, do not use brackets.

6) 2: Solve any Equation or Inequality

1) Solve x-3 = -5 for the variable x. This yields x=-2.

Optional: Restrict the interval i.e. for periodic functions (i.e. sin(x) )

1) Solve x-3 = -5 for the variable y . The variable you solve for must be part of the equation.

7) Solve any 2x2 system.

x+y=2
x-y=0 .

This yields x=1 and y=1 .

8) Simplify expressions with or without variables.

(-17+(-4))+(-12+15)

Yields 18

9) Compute Powers and read its Rules.

Compute x^2 * x^5 yields x^7 by the 2. rule.

10) Compute or Simplify Roots

(SQRT(3)+SQRT(5))/ (SQRT(3)-SQRT(5)) yields 3-SQRT(15)+SQRT(15)-5 = -2

11) Factor expressions or numbers

x^2 + 5x + 6 factors into (x+3) * (x+2)

Or: factor 99 = 3*3*11

12) Expand expressions

13) Find Common Denominator

Ex 1/x + 1/y = y/xy + x/xy = (x+y)/(xy)

14) Simplify Fractions

What is 4 + (3/8)/2 + 5/6 ?

= 4 + 3/16 + 40/48 =

4 + 9/48 + 40/48 =

4 + 49/48 = 4 + 48/48 + 1/48 = 5 + 1/48

15)

16)

17)

18)

19)

F3: Statistics.

1: Average, Median, Mode

Enter numbers separated by commas in a list. Ex: {3,18,27}

1) 43, 76

2) {34+54}

3) [34,54]

4) (34,54)

The Average of 3, 18 and 27 is 16, median is 18, and there is no mode.

6) Weighted Average

Enter both numbers and weights in lists, separated by commas. Ex

Numbers={3,18,27} Weights={100, 200, 300}

Then, the weighted average is (100*3+200*18+300*27)/(100+200+300) = 20 . Thus, the average of 100 3’s , 200 18’s and 300 27’s is 20

1) 43, 76

2) {34+54}

7) Ratios

If we have n=150 juniors and m=700 seniors , the ratio Juniors to Seniors is n:m = 150:700 or 3:14.

The ratio n:(n+m) =Juniors to Students is 3:17.

The ratio m:(n+m) =Seniors to Students is 14:17.

The ratio m:n =Seniors to Juniors is 700:150 or 14:3.

8) Percentages

This module deals with percentages, their conversions to fractions, % increases, discounts, etc

What is 32/16 as a percentage?

Since 32/16 = 2 , we have 2*100% = 200%

Here, convert from % to fractions.

Ex: 2000% is what as a fraction?

2000/100

= 20 / 1

= 20 .

What is 10% of 50? Correct, it is 5. So, enter x=10 and n is 50 . Voila.

What is 92% of 5000?

92% of say $5000 is $4600 , the remaining 8% of $5000 are thus $400 .

Here, we compute a percentage of a percentage.

What is 80% of 300% of $10000 ?

300% of $10000 (or 3*$10000) = $30000 , and 80% of $30000 is $24000.

NBA Stats: The Lakers won 25 out of 160 matches.

We enter m=25 and n=160

To learn that Laker’s winning % is only 15.625%.

If the Lakers win 52 and lose 125 matches

Then enter m=52 and n=125

To learn that their winning record is 29.379%

Discount(1) . If you bought some pants for at a discount (x%=22.12%) for $79.90, then what was the original sale price?

Enter x%=22.12% and n=$79.90 .

The pants were originally $102.59

Discount(2) finds the discounted value of a car that is for sale.

You got lucky, you will only have to pay %75 of $2500 (the original car value)

So, just pay $1875 and save $625.

If we get add to pay late fee of %8.88 on the $3000 credit card bill

We enter x%=8.88 and n=3000

To find the increase to be $266.40 for a total of $3266.40

If a laptop cost $1000 after a whopping 225.9% increase

We enter x%=225.9 and n=1000

to learn that the original laptop value was $306.84 only.

9) Rates

If we walk i.e. 2.985 miles (=Δy) in 700 hours (=Δx) then the rate at which we are moving is 0.004 mph.

If we drive at 55.25 mph for 34.9 hours

We will cover 1928.225 miles.

If we drive 10000 miles at 25.5 mph

It will take us 392.157 hours.

If John can eat 7 candies per hour and Jim eats 24 per hour. They eat for 83 hours

Their total number of candies consumed is 2573 .