# Pointers for passing Praxis 1 Math in GA

Discussion in 'Basic Skills Tests' started by bnewsome, Jul 12, 2006.

1. ### bnewsomeRookie

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Jul 12, 2006

I wanted to know if anyone had any pointers for the math portion of the praxis 1 test in math. I have the study guide for praxis math, I also have the math smart book and I am using the cd that came with my study guide (praxis), is there anything else I need to really pay attention to or study. I have taken it in the past and scored a 167, in Ga the requirement is 174 to pass. I need this score to teach in Aug of this year, I am changing careers. Any additional help would be appreciated. I take the test next Tuesday.

3. ### TeacherGroupieModerator

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Jul 12, 2006

Practice a lot - the more problems you work (without making yourself crazy) between now and Tuesday, the likelier you are to recognize things you can do to solve a problem that otherwise looks impenetrable.

If you've got specific issues with something that the study guide says you must know, feel free to post about them here: there's usually a math maven or two who will contribute a good explanation.

4. ### bnewsomeRookie

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Jul 13, 2006

math problems

Thanks, I do have a few questions about a few problems that I will post later today.

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Jul 13, 2006

Cool!

6. ### bnewsomeRookie

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Jul 17, 2006

Need help with a math problem-HELP-taking the praxis 1 in math on Tuesday

f(x)= 3x2- 1/2 + 7 what is f (1/2) HELP-Thank you

7. ### bnewsomeRookie

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Jul 17, 2006

Math problem again-
Jerry was 1/3 as young as his grandfather 15 years ago. If the sum of their ages is 110, how old is Jerry's grandfather? (answers are 80,75,65,60,and 50). Thank you.

8. ### bnewsomeRookie

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A congressional district has about \$490,000 people living in it. The largest city in the area has 98,000 citiizens. Which most accuratel portrays the portion of the population made up by the city in the district? (1/5, 1/4, 2/9, 3/4, 4/5)

9. ### TeacherGroupieModerator

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Jul 17, 2006

Are you sure you've copied this correctly?

10. ### TeacherGroupieModerator

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Okay, so the sum of their ages (presumably now) is 110: that's j + g = 110

Now 15 years ago, Jerry's age was j - 15, and 15 years ago his grandfather's age was g - 15. So j - 15 = 1/3 (g - 15). This lets us solve for j:

j - 15 = 1/3 (g - 15)
j = 1/3 (g - 15) + 15
j = 1/3g - 5 + 15
j = 1/3g + 10​

Now recall that j + g = 110. We now know that j = 1/3g + 10, so let's substitute this new value for j into the equation:

(1/3g + 10) + g = 110
1/3g + g = 110 - 10
4/3g = 100
g = 100(3/4)
g = 75​

And if g = 75 and j + g = 110, then j = 35.

11. ### TeacherGroupieModerator

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We're asked for the ratio of city dwellers to district dwellers. That would be 98,000/490,000.

Here's one way to proceed: Start by reducing the fraction to a more tractable 98/490. 98 is substantially less than half of 490, so the last two answers are stupid. Now 2/9 is a little larger than 1/4. Is 98 1/4 of 490? No way: 98 x 4 is a little less than 400, but 490 is very nearly 500. That leaves 1/5 as the answer.

12. ### bnewsomeRookie

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Jul 18, 2006

Thank you so much

13. ### bnewsomeRookie

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Jul 18, 2006

Thank you all so much. I took the Praxis 1 in math this morning and unfortunately I received the same score. I only need one point. I am extremely disappointed. But I will take the math again, I can't believe that I made the same score.

14. ### TeacherGroupieModerator

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Jul 18, 2006

bnewsome, my sympathies on your disappointment. Do you get a score report that shows skills you did well on and skills that need work? If so, that can give you a basis on which to work.

15. ### bnewsomeRookie

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Jul 18, 2006

I am sure they will send me a report..but I really knew the information, the formulas, etc. However, the test is nothing like in the practice books.

16. ### TeacherGroupieModerator

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Jul 18, 2006

Which prep book(s) were you using, and how did you find it different?

17. ### bnewsomeRookie

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Jul 19, 2006

I used learning express, arco praxis ppst, math wiz and information from Ask Dr. Math. I went to the website of Praxis math and that website is not free. I did order the book that someone suggested 20 min by learning express on yesterday

18. ### TeacherGroupieModerator

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Jul 19, 2006

So what differences struck you?

19. ### PraxisManiaRookie

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going crazy over praxis

Hello,

I am going to write Praxis I and I am having trouble with some of the percentage problems. Does anyone know anything on percentage problems

20. ### PraxisManiaRookie

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praxis crazy

Could someone help me with these questions?
-If Lynn can type a page in p minutes, what piece of the page can she do in 5 minutes? (Options are: 5/p, p-5, p+5, p/5, 1-p+5)??

-If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together? (Options are: 2 hours and 24 minutes, 3 hours and 12 minutes, 3 hours and 44 minutes, 4 hours and 10 minutes
4 hours and 33 minutes)

-If Leah is 6 years older than her sister, Sue, and John is 5 years older than Leah, and the total of their ages is 41. Then how old is Sue? (8, 10, 14, 19, 21)

-Employees of a discount appliance store receive an additional 20% off of the lowest price on an item. If an employee purchases a dishwasher during a 15% off sale, how much will he pay if the dishwasher originally cost \$450? (\$280.90,\$287,\$292.50, \$306,\$333.89)

*Sorry for asking so many questions :S

21. ### AliceaccMultitudinous

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If Lynn can type a page in p minutes, what piece of the page can she do in 5 minutes? (Options are: 5/p, p-5, p+5, p/5, 1-p+5)??

Well, each minute is another 1/p of a job. (So if a whole job is 10 minutes, she does 1/10 per minute.) In 5 minutes, that's 5/p. When problems like this make you crazy, try plugging in a reasonable number and see what you do intuitively.

If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together? (Options are: 2 hours and 24 minutes, 3 hours and 12 minutes, 3 hours and 44 minutes, 4 hours and 10 minutes
4 hours and 33 minutes)

Set up a chart: name, work done in one hour x time = part of job done:
Sally: 1/4 x = x/4

John: 1/6 x = x/6
When you combine the parts of the job, you get one whole job:

x/4 + x/6=1.
Multiply each term (including the 1) by 24. (Yeah math people, I know 12 would work. But 4 times 6 is easier to see ) you get

6x+4x=24 , 10x=24, x=2.4 hours, choice A

-If Leah is 6 years older than her sister, Sue, and John is 5 years older than Leah, and the total of their ages is 41. Then how old is Sue? (8, 10, 14, 19, 21)

Start with the youngest: Sue's age =x. Then Leah is 6+x and John is 5+6+x or 11+x.

Now set that total : x+6+x+11+x= 41
3x+17=41
3x= 24, x=8.
Go back to those original statements: Sue =8, Leah =14, John =19

-Employees of a discount appliance store receive an additional 20% off of the lowest price on an item. If an employee purchases a dishwasher during a 15% off sale, how much will he pay if the dishwasher originally cost \$450? (\$280.90,\$287,\$292.50, \$306,\$333.89)

First, do NOT combine the 20% and the 15%, please!!!

If 20% is taken OFF the price, then 80% (or .8)is left on.
450(.8) =360= price after first sale
360(.85)= \$306

Does that help?

22. ### AliceaccMultitudinous

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Jun 3, 2007

Probably the easiest approach to percentage problems is this formula:

is/ of = %/ 100

For example: What IS 20% OF 80?

First fill in the number next to the percent: the 20. Your 2nd fraction is now 20/100.

"What" is the only thing left next to "is", so the x goes on top.
80 is next to "OF", so it goes on the bottom.
x/80=20/100. (easier with horizontal lines than the diagonal ones, sorry!)

Now cross mutliply: one bottom times the other top
100x= 80(20)
100x=1600
divide by 100 to get the x all alone
x=16.

The beauty of this formula is that you can find any of the 3 parts ("is", "of" or "percent") the same way.

23. ### TeacherGroupieModerator

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I thoroughly agree with Alice: setting up percent as a proportion works really, really well. In fact, many rate problems - including the how-many-pages-in-five-minutes problem - can be set up as proportions.

It may help make Alice's solution look a little less daunting if we write it just a little differently:

is = .%
of = 100

24. ### AliceaccMultitudinous

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Thanks. I can do that in Word or Mathtype, but NOT here

25. ### PraxisManiaRookie

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Thank You sooo much for all your help!! Lets hope I can remember how to do these now. Do you mind if I possibly come back w/ more questions?

26. ### AliceaccMultitudinous

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Sure!!! I'm going to call it a night soon, but I'm here a lot. And TG is a west coast nightowl

Also, if you want something concrete, take a look at:
- an Algebra I textbook
- an SAT prep book (Barrons??)

27. ### TeacherGroupieModerator

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Aw, Alice, it's not that hard.

The first line is "is" underlined, an equals sign, a "." for spacing purposes that I colored white, and "%" underlined. The second line is "of" underlined, an "=" that I colored white, and "100".

28. ### TeacherGroupieModerator

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PraxisMania, here are some thoughts about rate problems.

Rate is short for ratio, and a ratio is nothing but a fraction. "5 pages every 7 minutes" is thus

5 pages
7 minutes

And "55 miles per hour" is simply

55 miles
1 hour

And percent is just a fairly special rate: "55% of the cookies" is 55 cookies out of every 100 cookies is

55
100

29. ### PraxisManiaRookie

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Yea, I wasn't going to ask anymore tonight anyways. Figured that was enough for tonight

30. ### PraxisManiaRookie

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Jun 4, 2007

Praxis unknown

Could someone help me out with a few praxis questions I am unsure of:

The sales price of a car is \$12,590, which is 20% off the original price. What is the original price?

\$14,310.40
\$14,990.90
\$15,290.70
\$15,737.50
\$16,935.80

Alfred wants to invest \$4,000 at 6% simple interest rate for 5 years. How much interest will he receive?

\$240
\$480
\$720
\$960
\$1,200

Jim is able to sell a hand-carved statue for \$670 which was a 35% profit over his cost. How much did the statue originally cost him?

\$496.30
\$512.40
\$555.40
\$574.90
\$588.20

The city council has decided to add a 0.3% tax on motel and hotel rooms. If a traveler spends the night in a motel room that costs \$55 before taxes, how much will the city receive in taxes from him?

10 cents
11 cents
15 cents
17 cents
21 cents

A student receives his grade report from a local community college, but the GPA is smudged. He took the following classes: a 2 hour credit art, a 3 hour credit history, a 4 hour credit science course, a 3 hour credit mathematics course, and a 1 hour science lab. He received a “B” in the art class, an “A” in the history class, a “C” in the science class, a “B” in the mathematics class, and an “A” in the science lab. What was his GPA if the letter grades are based on a 4 point scale? (A=4, B=3, C=2, D=1, F=0)

2.7
2.8
3.0
3.1
3.2

Simon arrived at work at 8:15 A.M. and left work at 10: 30 P.M. If Simon gets paid by the hour at a rate of \$10 and time and ½ for any hours worked over 8 in a day. How much did Simon get paid?

\$120.25
\$160.75
\$173.75
\$180
\$182.50

Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?

4
8
12
13
16

If 300 jellybeans cost you x dollars. How many jellybeans can you purchase for 50 cents at the same rate?

150/x
150x
6x
x/6
1500x

If 8x + 5x + 2x + 4x = 114, the 5x + 3 =

12
25
33
47
86

You need to purchase a textbook for nursing school. The book cost \$80.00, and the sales tax where you are purchasing the book is 8.25%. You have \$100. How much change will you receive back?

\$5.20
\$7.35
\$13.40
\$19.95
\$21.25

**I know there are a lot of questions, and I understand if you do not want to answer them. I just really need some help for praxis!**

31. ### PraxisManiaRookie

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Jun 5, 2007

I do have an Algebra text and Praxis book but there are still ones i'm unsure of. Its sometimes harder to understand when reading it from a book.
Could u attempt the questions i posted yesterday?? There's many :sorry:

32. ### TeacherGroupieModerator

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Just for discussion purposes, let's call the original price p. So then "20% off p" means "20% less than p", which translates into Math-ese as p - 20%p. (Yes, that's 20%p and not just 20% with no p: percent has to be of something.) And we're told that that's the sale price, and that the dollar amount of the sale price is \$12,590. So

p - 20%p = \$12,590

Now what? Well, let me ask an obvious question: what percent of p is p?

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Jun 5, 2007

80%

34. ### TeacherGroupieModerator

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Let me put it differently: what percent of 10 is 10? And, yes, I typed that the way I meant it.

In other words, what percent corresponds to the whole shebang?

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Jun 5, 2007

1%

36. ### TeacherGroupieModerator

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If you have 10 cookies and don't give any away and don't eat any and don't lose any and don't otherwise dispose of any... what percent of of your cookies do you still have?

37. ### PraxisManiaRookie

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Jun 5, 2007

0 but how does that apply to the question

38. ### AliceaccMultitudinous

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I'll see what I can do before someone calls "MOM!"

Alfred wants to invest \$4,000 at 6% simple interest rate for 5 years. How much interest will he receive?

\$240
\$480
\$720
\$960
\$1,200

The formula for simple interest is Interest = (Principal)(interest rate --as a decimal)(time--in years) or I=PRT

Here: I=(4000)(0.06)(5)= \$1,200

"The city council has decided to add a 0.3% tax on motel and hotel rooms. If a traveler spends the night in a motel room that costs \$55 before taxes, how much will the city receive in taxes from him?

10 cents
11 cents
15 cents
17 cents
21 cents "

Go back to is/of = %/ 100 (sorry TG-- I'm too lazy to type it correctly!!) You want to know: What IS 0.3% OF 55:

x/55= 03/100;
cross multiply to get 100x= 3(55) or 100x=165
divide both sides by 100: x= 16.5, which rounds up to 17 cents

Sorry, I missed this one:
"Jim is able to sell a hand-carved statue for \$670 which was a 35% profit over his cost. How much did the statue originally cost him?

\$496.30
\$512.40
\$555.40
\$574.90
\$588.20 "

When they say profit OVER cost, they mean it was 135% of the cost. (The 35% they gave you; the other 100% was the "over" part.)

So 670 IS 135% OF What number?
Use is/of again:

670/x=135/100
Cross multiply: 100(670)= 135x
67000=135x
Divide both sides by 135
Sorry, my calculator is upstairs and Kira needs me. but your answer is 67,000 divided by 135.

Be back later!

39. ### PraxisManiaRookie

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What did u mean by "I'll see what I can do before someone calls "MOM!"???

40. ### PraxisManiaRookie

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Jun 5, 2007

100%

OMG I'm a complete IDIOT!!!

41. ### PraxisManiaRookie

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100%

I'm such an IDIOT!!!