TOPICS
This page:
basic algebra
Search
Dr. Math
See also the
Dr. Math FAQ:
cubic and
quartic equations
and
order of operations
Internet Library:
basic algebra
T2T FAQ:
algebra help
HIGH SCHOOL
About Math
Analysis
Algebra
basic algebra
equations/graphs/
translations
linear algebra
linear equations
polynomials
Calculus
Complex Numbers
Calculators/
Computers
Definitions
Discrete Math
permutations/
combinations
Exponents
Logarithms
Fibonacci Sequence/
Golden Ratio
Fractals
Functions
Geometry
Euclidean/plane
conic sections/
circles
constructions
coordinate plane
triangles/polygons
higherdimensional
polyhedra
nonEuclidean
practical geometry
symmetry/tessellations
History/Biography
Interest
Logic
Negative Numbers
Number Theory
Physics/Chemistry
Probability
Projects
Puzzles
Sequences/Series
Sets
Square/Cube Roots
Statistics
Transcendental
Numbers
Trigonometry

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.
 Prize Money [09/04/1997]

If first prize wins $1,000 out of $6,000 and twentieth prize wins $100,
how much money do second through nineteenth place win? Is this a
geometric sequence?
 Probability of a Function Having Complex Roots [05/11/2000]

What is the probability that the function f(x) = x^2 + px + q = 0 will
have complex roots when p and q lie between 0 and 1? ...when p and q lie
between 0 and 5? ...when p and q are greater than 0?
 Probate Puzzle [12/15/2003]

A will specifies that every son should receive three times as much as
a daughter and every daughter should get two times as much as their
mother. What is the mother's share?
 Proof of Convergence [09/29/2000]

Why does the ratio F(n+1)/F(n) for the Fibonacci numbers converge to the
golden ratio?
 Proof of the Rational Root Theorem [11/13/2000]

How can I prove the Rational Root theorem?
 Proof That 3 = 0? [10/28/2006]

Starting with x^2 + x + 1 = 0 and using algebraic manipulations, I
seem to be showing that 3 = 0. Where am I going wrong?
 Proof That All Numbers Are Equal? [12/06/2005]

I saw a proof that all numbers are equal, which makes math pointless.
There must be something wrong with the proof. Can you tell me what?
 Proof That Equation Has No Integer Roots [05/09/2000]

How can I prove that if p is a prime number, then the equation x^5  px^4
+ (p^2p)x^3 + px^2  (p^3+p^2)x  p^2 = 0 has no integer roots?
 Proof Using Pell's Equation [09/18/1999]

Given Pell's equation for sqrt(D) and p/q = [a1;a2;...;an], can you prove
that p^2  D.q^2 = (1)^n.k?
 Proof with Inequalities [10/10/1999]

1. How can I prove that a^6 + 4*b^6 >= 4 if ab = 1? 2. At each vertex of
a polygon, a number is written... How many sides does the polygon have?
 Prove Triangle of Sides with Length... [8/1/1996]

Let a, b and c be the lengths of the sides of a triangle. Prove that the
square root of (a+bc) plus the square root of (b+ca) plus the square
root of (c+ab) is equal to or less than the sum of the square roots of
a, b and c. Determine when equality occurs.
 Pumpkin Price [06/28/2001]

Peter Peter has 40 pumpkins to sell. He will sell them all if he sets his
price at $1.00 each, but will sell one fewer pumpkin for each 5cent
increase in price...
 Quadratic Equation [6/22/1996]

What is a quadratic equation used for?
 Quadratic Equation [8/28/1996]

What is the formula for the quadratic equation?
 Quadratic Equation [04/08/1997]

The sum of two numbers is 15 and their product is 54. Find the numbers...
 Quadratic Formula [10/01/1999]

Could you give me some ideas for how to use the quadratic formula, and
some practice problems?
 The Quadratic Formula [12/12/2005]

We've been studying the quadratic formula as a way to solve quadratic
equations, but I'm a little confused by it. Can you give me a summary
of what the formula is, how and when you apply it, and why it's important?
 Quadratic Formulas, Equations, Parabolas, Graphing [6/16/1996]

Given 6x^2 + x  1 = 0, how do I find the roots, the vertex, some
coordinates, and from these graph it?
 Quadratic Formula: Solve for b [08/15/2001]

How do you solve for b in the quadratic formula?
 Quadratic Function [05/04/2001]

What are the effects of changing the values of a, b, and c in a quadratic
function?
 Quadratic Inequalities [03/18/2003]

When I solve (x^2 + 1)/4 greater than or equal to (x + 2)/2 , of my
final two answers, only one works.
 A Quadratic Inequality [4/27/1996]

Solve the inequality: (3x+1)(510x)>0
 Quadratic Model [12/03/2001]

The quadratic model S = 17t^2+45t+2570 approximates the number of
suicides by firearms in the U.S. for women, where t represents the number
of years after 1985. In what year were there 2370 female suicides by
firearms?
 Quadratic Problem [7/12/1995]

Find the quadratic functions with vertex (3,1) and one xintercept at
x=1.
 Quadratic Trinomials [8/14/1995]

How do you factor quadratic trinomials as the product of linear
binomials?
 Quadrilateral Patterns [03/06/1997]

What is the formula that gives the number of quadrilaterals within a
square grid when you increase the square grid by one unit on each side?
 Quarter Circles [12/20/1996]

Find a function that graphs a quarter of a circle in quadrants II and IV.
 Radical Equation [04/12/1997]

How do I solve the radical equation 3x+(5x^(1/2))28=0?
 Radioactive Decay of an Isotope [01/05/1998]

I know the decay of the 226Ra isotope involves the use of logarithms (an
exponential function ae^x), but I'm having trouble fitting my information
to my equation...
 Raising Sides of an Equation to the 0 Power [12/04/1997]

If you raise both sides of an equation to the 0 power, will both sides
then be equal to one?
 Raising Sqrt(2) [10/14/1997]

What is the value of x in the following equation: x^x^x^x^x ... = 2 ?
 Rate of River Current [10/31/2001]

Ryan is canoeing upstream while his sister Katie sleeps in the back of
the canoe...
 Rates of Paddling [04/25/2000]

I can travel 12 miles downstream in six hours less than it takes me to
travel the same distance upstream... How fast is this river's current?
 Rational Equations [06/07/1997]

How do you solve 1/(x+1)  1/(x+2) = 1/2?
 Rational Inequality [2/15/1996]

Find the sum of all values of x such that 6x is an integer and
(x4)/(x2) >= 3.
 Rationalizing Denominators [07/12/1997]

How can I rationalize a denominator with odd power radicals?
 Rational Number and its Reciprocal [03/14/2002]

A rational number greater than one and its reciprocal have a sum of 2
1/6. What is this number? Express your answer as an improper fraction in
lowest terms.
 Rational Root Test [10/28/1996]

How do you solve the system that consists of the equations xy+6=0 and
x^2+y^26y1=0?
 Rational Root Theorem [08/27/1998]

List all possible rational zeros of the each function, then determine the
rational zeros: f(x) = x^3  4x^2 + x + 2.
 Ratio of Ratios [06/05/2002]

In a community, 3/5 of the men are married to 2/3 of the women. What
fraction of the residents are married?
Page: [<prev]
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
[next>]
