# Feedback Q&A on Algebra

by Ron Kurtus

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

## List of next 10 letters

### Country

Linear Equation with One Variable Solving a word problem Australia

General Can't understand pre-calculus USA

Equations How to balance equations South Africa

Multiplication with Exponents x raised to the power of 2 times 3? Philippines

Multiplying Binomial Expressions Remove brackets and simplify Nigeria

General Trigonometry problem Zambia

General How is a linear equation relevant to business? Ghana

General Algebra Topics Wants other math topics explained Tanzania

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First 10 letters

## Solving a word problem

Topic: Linear Equation with One Variable

### Question

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

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

Thus, you are 13 and he is 39.

## Restrictions on a quadratic formula

### Question

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
Patrick

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.

## Can't understand pre-calculus

Topic: General

### Question

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

## How to balance equations

Topic: Equations

### Question

August 19, 2012

I want to know how to balance the equation

Aubrey - South Africa

22844

### Question

July 26, 2012

Mansoor - Pakistan

22800

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

## x raised to the power of 2 times 3?

Topic: Multiplication with Exponents

### Question

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.

## Remove brackets and simplify

Topic: Multiplying Binomial Expressions

### Question

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.

## Trigonometry problem

Topic: General

### Question

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.
Question:
Prove the identity

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

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@

## How is a linear equation relevant to business?

Topic: General

### Question

October 31, 2011

1)WHAT IS A LINEAR EQUATION? HOW RELEVANT IS THE EQUATION TO A FIRM?

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.

## Wants other math topics explained

Topic: General Algebra Topics

### Question

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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