List of Topics


Algebra Feedback

by Ron Kurtus

Readers have sent in a total of 66 comments and questions on Algebra issues. They are listed according to date.

You can read them to further your understanding of the subject.

List of next 15 letters




Solving a word problem Linear Equation with One Variable Australia
Restrictions on a quadratic formula Quadratic Formula Canada
Can't understand pre-calculus General USA
How to balance equations Equations South Africa
Derivation of quadratic formula? Quadratic Formula Derivation Pakistan
x raised to the power of 2 times 3? Multiplication with Exponents Philippines
Remove brackets and simplify Multiplying Binomial Expressions Nigeria
Trigonometry problem General Zambia
How is a linear equation relevant to business? General Ghana
Wants other math topics explained General Algebra Topics Tanzania
Graphing an equation General Zambia
Significant figures General Zambia
Would like more tests for grade 12 Purpose South Africa
How can I be very good in algebra? General Algebra Topics Nigeria
Am I too old to learn Algebra? General USA

Next 15 letters


First 15 letters

Linear Equation with One Variable

Solving a word problem

September 7, 2012


Its an linear equations in one variable. My father is three times as old as i am. If he is 26 years older than I am, find our ages.

Celine - Australia (22885)


Let x = your age. Then your father's age is 3x.

If he is 26 year older than you, then 3x = x + 26.

Thus, you are 13 and he is 39.

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Quadratic Formula

Restrictions on a quadratic formula

September 6, 2012


Hello. I am trying to find the restrictions on a quadratic formula. The problem is the formula I have does not equal to anything. How do I go about solving this?
Thank you

- Canada (22883)


In the quadratic formula: x = [?b ± ?(b2 ? 4ac)]/2a, "a" cannot equal 0, because the result would be infinite.

Also b^2 must be greater than 4ac, because the square root of a negative number is imaginary.

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Can't understand pre-calculus

August 30, 2012


I am currently in precalculus in college I'm having trouble with it. I get how to do polynomials and binomials and all but the way the words are in the book but, I can't seem to understand what exaclty they are asking for. Could u tell me step by step and show an example of how to solve this problem.
find the value of k so that 3x-1=k and 7x+2=16 what is the book asking me to do and what steps do I take to solve this problem ? What rule do I use?

jazmyn - USA (22874)


First of all, you should check the topic in our Algebra section. The lessons should help a little.

With the second equation, you can easily solve it for x:
7x + 2 = 16
7x = 14
x = 2

Then, you substitute for x in the first equation:
3x - 1 = k
6 - 1 = k
k = 5

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How to balance equations

August 19, 2012


I want to know how to balance the equation

Aubrey - South Africa (22844)


Go to Purpose of Algebra is Solving Equations.

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Quadratic Formula Derivation

Derivation of quadratic formula?

July 26, 2012


Derivation of quadratic formula?

Mansoor - Pakistan (22800)


The material shows how the formula for solving a quadratic equation is derived or determined.

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Multiplication with Exponents

x raised to the power of 2 times 3?

July 9, 2012


x raised to the power of 2 times 3? please show me the solution. Thank you.

x squared(3) = ?

- Philippines (22769)


If you are multiplying 3 times x^2, it is always good to state the 3 first to avoid confusion. Thus if x=5 then 3*x^2 = 3*5^2 = 3*25 = 75.

However, if you are multiplying the exponent 3 times the exponent 2, you get x^(2*3) = x^6.

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Multiplying Binomial Expressions

Remove brackets and simplify

May 23, 2012


Remove brackets and simplify. (y2+y+1)(1-y-2y2)

Joseph - Nigeria (22674)


The second expression may be puzzling. Do you mean 1 - (y^-2)*y^2 or is it 1 - y - 2*y^2?

Assuming the second item, neither one is a binomial expression, so you must use a multiplication method shown in the lesson:

y^2 + y + 1
X 1 - y - 2y^2

Then do the multiplication, term by term. It can be tedious.

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Trigonometry problem

November 23, 2011


How are you champions?
I have a question which i tried answering but there is a stage am failing to figure out, i wanna be a champ over this question.
Prove the identity

(1/cosec@ + 1/sec@)squared = 1 + sin2@, @=thitta.

Please help and make me a champion. God bless.

Collins - Zambia (22197)


1/cosec@ = sin@ and 1/sec@ = cos@

(1/cosec@ + 1/sec@)^2 = (sin@)^2 + 2sin@cos@ + (cos@)^2

(sin@)^2 + (cos@)^2 = 1 and 2sin@cos@ = sin2@

Thus (1/cosec@ + 1/sec@)^2 = 1 + sin2@

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How is a linear equation relevant to business?

October 31, 2011



David - Ghana (22121)


A linear equation is a straight line equation. Seldom is a business process in a straight line. Usually, there are so many variations that make if difficult to assign an equation to the process, sales output of such.

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General Algebra Topics

Wants other math topics explained

September 22, 2011


1.Please can you discuss other topic being studied in Mathematics like seguence and series,the earth as a sphere,trigometry, three dimension, probability,function,account.relation,vector.
2.How if I send any mathematics' question,will you be able to solve it for me and send me the solution?

Japhet - Tanzania (22009)


We will be adding more mathematics subjects soon.

However, since we get so many email letters, we are usually unable to solve math problems for students.

Best wishes for success in your studies.

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Graphing an equation

September 13, 2011


Thanx for u have been gvin me.
I have a question again.
Draw the graph of
h(x) = 2x + 2/x + 2
for the domain
-1 < x< 3.
By drawing the appropriate straight line on the graph,obtain a solution of the eguation
State the domain of h(interse)(x).
Draw the graph of h(inverse)(x) on the same axis as for h(inverse)(x)

Collins - Zambia (21985)


You can call h(x) the y (vertical) axis of a graph. Substitute values in for x and y:

When x = 1, y or H(x) = 2 + 2 + 2 = 6
When x = 2, y = 4 + 1 + 2 = 7
When x = 1/2, y = 1 + 4 + 2 = 7

Continue for several more points and then draw the graph. Note that x cannot equal zero.

For the inverse curve: the inverse of x = 1 is 1. The inverse of x = 2 is 1/2. the inverse of x = 1/2 is 2, and so on.

See Algebra

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Significant figures

September 6, 2011


Estimate the following to 1 significant figure, 249.526 x 0.040357 and 34123/79.7

Collins - Zambia (21953)


There are several definitions of significant figures. I am not sure which one your teacher is referring to, but here is one way to do it:

If you round off 249.526 to 250 and 0.040357 to 0.04, then the answer would be 10.

Round 34123 to 30000 and 79.7 to 80, and the answer is 30000/80 = 375, rounded to 400.

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Would like more tests for grade 12

August 16, 2011


i really enjoy this test on algebra n i thank school of champions is doing just fine, i'm really glad ur bringing a difference in my life n plz test me with grade 12 exercises my subjects (mathematics, physical sciences, life sciences, geography, english, life orientation). God be wth the school of champions.

Chenepe letlhogonolo - South Africa (21893)


I am glad you have found the material useful to you. We need more champions in the world.

You can check our Graded Tests in some of the subjects mentioned. We plan to add many more tests in the future.

Best wishes for success in your studies.

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General Algebra Topics

How can I be very good in algebra?

July 17, 2011


How can be very good in algebraic in maths and instructions to be good in maths.

Pires - Nigeria (21818)


You can use our Algebra lessons to give you a start on the subject. We plan to add more lessons soon.

See: Purpose of Algebra is Solving Equations as a place to start.

Best wishes in learning and understanding Algebra.

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Am I too old to learn Algebra?

March 29, 2011


I read what I guess would be referred to as your "mission statement" on the home page. I am an older person that was taught Algebra in grade school for one year. Got A+ in the class all that year. Our curriculum switched me out into another math to me that was totally unrelated. I saw Algebra again in the 10th grade and tried to take the course. I could not understand it and the teacher I had was burned out at 30 something and could only resite the book which I did not understand. I had to get out of the class. I again came across Algebra in my 1st year of college. For 4 months I spent maybe 4 hours a night doing 20 pages of a lesson. Needless to say I gave up as stupid as one is at 18. But I loved Algebra and have never stop thinking about it. How can I get back to actually learning Algebra and enroll for a complete course so that I could one day go onto Algebra II and Calculus and so on. They say you are never to old to learn and I would like to better my life and get into a job I really love. I haven't said how old I am but does age really have to a factor in bettering one's self?

- USA (21407)


Unfortunately, some math subjects can be taught in such a way to turn students off from the subject. If you are interested and enjoy subjects, such as Algebra, don't get discouraged because of poor instruction or overbearing textbooks.

You can go through our lessons to give you the basics of Algebra. It might be good to look at something like Algebra for Dummies as a starter.

You are never too old to learn. In fact, mature students often do better, because they have greater desire and interest than the young students.

Best wishes on delving into Algebra, Calculus and other subjects of interest.

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