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Arithmetic Problems

Karen Said:

Arithmetic problems?

We Answered:

(a^2-b^2) = (a+b)(a-b)

(2008^2 - 2007^2) = (2008+2007)(2008-2007)

=>4015

Clifford Said:

is there a site that shows how to solve arithmetic reasoning math problems?

We Answered:

Well, I was unable to find a site as well. I do have a suggestion.... In doing research, I came across the description of the math portion of the exam....

"The math skills assessed by the ASTB subtests include arithmetic and algebra, with some geometry. The assessments include both equations and word problems. Some items require solving for variables, others are time and distance problems, and some require the estimation of simple probabilities. Skills assessed include basic arithmetic operations, solving for variables, fractions, roots, exponents, and the calculation of angles, areas, and perimeters of geometric shapes."

Given each of these topics, maybe http://www.math.com will be a good place to start, looking under algebra and geometry primarily. From browsing the site, it looks like it provides enough information necessary to help you learn the steps needed to work most problems on the exam.

Hope this was of some help to you. Best wishes on your exam.

Edward Said:

Arithmetic Sequence Problems. Can somebodyhelp me please?

We Answered:

Hi,

1.The third term of an arithmetic sequence is 9 and the seventh term is 31. Find the sum of the first twenty-two terms.

Temporarily call 9 the first term and 31 the 5th term. The formula for the nth term is:

a(n) = a + d(n - 1)
31 = 9 + d(5 - 1)
31 = 9 + 4d
22 = 4d
22/4 = d
5.5 = d

If 9 is the third term and d = 5.5, find the first term, a.
a(n) = a + d(n - 1)
9 = a + 5.5(3 - 1)
9 = a + 5.5(2)
9 = a + 11
-2 = a

The sum of n terms is found by:
S(n) = n/2(2a + d(n - 1))
S(n) = 22/2(2*-2 + 5.5(22 - 1))
S(n) = 11(-4 + 5.5(21))
S(n) = 11(-4 + 115.5)
S(n) = 11(111.5)
S(n) = 1226.5 <==ANSWER


2. How many terms of the arithmetic sequence 2,4,6,8, ... add up to 60,762?

The first term "a" is 2 and the difference "d" is 2.

The sum of n terms is found by:
S(n) = n/2(2a + d(n - 1))
60762 = n/2(2*2 + 2(n - 1))
60762 = n/2(4 + 2n - 2)
60762 = n/2(2 + 2n)
121524 = n(2 + 2n)
121524 = 2n + 2n²
0 = 2n² + 2n - 121524
0 = 2(n² + n - 60762)
0 = 2(n + 247)(n - 246)
n = -247 There can't be -247 terms, so discard this.
n = 246

There are 246 terms in this sequence that add to 60,762. <==ANSWER

I hope that helps!! :-)

Amanda Said:

Where can I find some basic arithmetic problems online?

We Answered:

www.math.com

This site will walk you through all the steps, give you examples, and practice problems from basic math to calculus.

Brenda Said:

How do I set up arithmetic problems?

We Answered:

When you read words like added to or plus, you would use the + sign

For subtract, removed or take away, use the - sign

For multiplied by, or something like 3 shirts and each has 5 buttons, you'd use the x sign for example as 3 x 5 to get the total number of buttons.

When you read the word per this means divided by and you'd use the sign ÷ (If this is hard to read its like a colon and a dash superimposed on one another) For example if you travel 50 miles in 2 hours, you are going 50 ÷ 2 = 25 miles per hour, also written 25 miles / hour.

Harold Said:

how to solve arithmetic problems like this ratio problems?

We Answered:

(3/8)*152=57

(5/8)*152=95

95+57=152


1gal/3.86liters=.259067*1.54=0.40

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