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Browse High School Basic Algebra
Stars indicate particularly interesting answers or
good places to begin browsing.
Selected answers to common questions:
Solving simple linear equations.
Positive/negative integer rules.
Mixture problems.
Quadratic equations.
Absolute value.
Completing the square.
Direct and indirect variation.
Inequalities and negative numbers.
 Functions that are their own inverses [02/28/1998]

Can a function ever be its own inverse?
 Fundamental Theorem of Algebra [01/25/2001]

What exactly is the Fundamental Theorem of Algebra?
 Gaussian Elimination [01/11/2000]

How can you solve a system of linear equations using Gaussian
elimination?
 Geometrically Completing the Square [08/07/1997]

What are the steps for geometrically completing the square?
 Geometric and Arithmetic Means [5/10/1996]

Find two numbers whose sum is 20 and whose geometric and arithmetic mean
is 8.
 Given n Points, find a Polynomial Function... [6/27/1996]

Find a polynomial F(x) of degree less than n so that the graph of F
passes through all of the points.
 Go for the Gold! [1/28/1996]

Your job is to prepare the women's athletes for the Olympic 1,500meter
race.
 Graphing [8/18/1995]

I've got questions concerning graphing.
 Graphing a Function with Asymptotes [07/05/1998]

How do you find the asymptotes of f(x) = (2x + 1)/(x  3)? How do you use
the asymptotes to graph the function?
 Graphing an Equation [4/4/1996]

How do you graph 2xy = 10?
 Graphing an Equation [11/08/1997]

Please explain how to graph this equation: y = a + b(x) + c(x^2) + ...
 Graphing an Equation with Absolute Value [10/15/1995]

How would you approach graphing negative 2 times the absolute value of x
plus 2?
 Graphing Intercepts [11/06/1997]

How would I find the intercept for a problem such as 3x2y = 12?
 Graphing Parabolas [01/16/1997]

How do you know how to graph a parabola from looking at its equation?
 Graphing Piecewise Functions [09/09/2001]

I do not understand how to graph piecewise functions.
 Graphing points [4/13/1996]

Given f(x)=4 and g(x)=2, which is the Y axis and which is the X axis?
f(x)=x2(3)+4 ; g(x)=x2(3)+4.
 Graphing Quadratic Polynomials [02/07/2001]

Can you give me a simple explanation of how to graph quadratic
polynomials like y = x^2  8x + 15?
 Graphing Slope Intercept [02/13/1999]

When given the slope intercept form, how do you know whether you rise or
drop when looking at the slope?
 Hands of a Clock [10/10/1997]

How many times do the hour and minute hands cross in a 12hour period of
time?
 Height of the Ball [01/05/1998]

A football player kicked a 41yard punt. The path of the ball was modeled
by y= 0.035x(squared) + 1.4x + 1, where x and y are measured in yards.
What was the maximum height of the ball?
 Help with a Proof [4/6/1995]

I'm trying to figure out how to prove that a is less than b implies that
a*a is less than b*b is true in R+....
 Hidden Faces of Cubes [06/20/2001]

My daughter has to produce an equation to show the number of hidden faces
when three rows of cubes are placed together on a flat surface.
 Hiking Up and Down [04/24/1999]

How many kilometers is it from the base to the top of the mountain?
 Hints for Algebra 101 [7/31/1995]

Do you have any helpful hints for algebra 101?
 Horner's Method of Solving Irrational Roots [01/29/1998]

Can you give a method, formula, and answer for this equation? x^3  3x^2
 2x + 5 = 0
 How Far Does C Walk? [08/06/2001]

Three persons A, B, and C, travel from point X to point Y. They leave
point X at the same time and follow the same route...
 How Far Will the Rocket Be from Earth? [06/22/2001]

A rocket leaves the earth for the sun at a speed of 28,800 mph. At the
same time, a photon of light leaves the sun for the earth...
 How Long Did She Walk? [06/12/1999]

A woman usually takes the 5:30 p.m. train, arriving at her station at
6:00, and her husband picks her up and drives her home...
 How Many Factor Pairs Does a Given Number Have? [03/19/2004]

I'm wondering if there is a formula or algorithm that will tell me
exactly how many pairs of factors a number has?
 How Many Mice, Cats, and Dogs? [01/13/2003]

You must spend $100 to buy 100 pets, choosing at least one of each
pet. The pets and their prices are: mice @ $0.25 each, cats @ $1.00
each, and dogs @ $15.00 each. How many mice, cats, and dogs must you
buy?
 How Many Points Determine a Parabola? [12/20/2000]

How can we determine whether or not a given plane curve is a parabola?
Under what conditions is a parabola uniquely determined?
 How Many Valentines? [02/10/2003]

If everyone in your class gave a Valentine to everyone else in your
class, how many valentines would be exchanged?
 How Much Money Entering the First Store? [09/26/2002]

Timothy spent all of his money at five stores. At each store, he spent
$1 more than half of the amount he had when entering the store. How
much money did he have when he entered the first store?
 How Much Popcorn did Paul Sell? [01/28/2002]

Paul made $44.14 selling 27 items (beer and popcorn). If he made $1.22
selling popcorn and $2.62 selling beer, how many boxes of popcorn were
sold?
 The Idea Behind Simultaneous Equations [10/14/2001]

I'm having a hard time learning the linear combinations method and the
substitution method in algebra.
 Identity and Inverse Properties for Zero [01/07/2004]

If we subtract 0 from a number and get the same number, doesn't that
make 0 an identity for subtraction? Also, can't a number be its own
inverse for subtraction?
 If 1/x+x=5, what does 1/x^2+x^2 equal? [08/16/2002]

A complex and an easy solution to the problem.
 Implied Multiplication and TI Calculators [05/02/2008]

If I type 36/6(2511*2) into my TI85, I get an answer of 2. If I
include a multiplication symbol to have 36/6*(2511*2), I get an
answer of 18. I thought that when the 6 is written right up against
the parenthesis, the multiplication is implied. Why am I getting two
different answers?
 The Importance of Defining Variables Clearly in Algebra [11/01/2007]

A sample of dimes and quarters totals $18.00. If there are 111 coins
in all, how many are there of each coin?
 Increasing the Average [02/25/2001]

Five members of a basketball team are weighed and an average weight is
recalculated after each weighing. If the average increases 2 pounds each
time, how much heavier is the last player than the first?
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