Drexel dragonThe Math ForumDonate to the Math Forum

Ask Dr. Math

High School Archive

_____________________________________________
Dr. Math Home || Elementary || Middle School || High School || College || Dr. Math FAQ
_____________________________________________

TOPICS
space
This page:
  basic algebra checkmark

  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
   higher-dimensional
     polyhedra
   non-Euclidean
   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.



Positive Unit Fractions [10/02/2002]
Find five different positive unit fractions whose sum is 1. (A unit fraction is a fraction whose numerator is 1. All denominators must also be natural numbers.)

Precedence of Unary Operators [09/01/99]
The PEMDAS rule for order of operations ignores unary operators. Can you explain the proper precedence for them, and give an example showing how not knowing the rule can cause an incorrect result?

Preparing for an Algebra Test [11/1/1995]
A 9th grade math student asks for help preparing for final exams. What is the difference between the terms: solve and simplify? How do you find the gradient in a graph?

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^2-p)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+b-c) plus the square root of (b+c-a) plus the square root of (c+a-b) 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 5-cent 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)(5-10x)>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 x-intercept 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 (x-4)/(x-2) >= 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.

Page: [<prev]  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16 17 18 [next>]

Search the Dr. Math Library:

Search: entire archive just High School Basic Algebra

Find items containing (put spaces between keywords):
 
Click only once for faster results:

[ Choose "whole words" when searching for a word like age.]

all keywords, in any order at least one, that exact phrase
parts of words whole words


[Privacy Policy] [Terms of Use]

_____________________________________
Home || The Math Library || Quick Reference || Search || Help 
_____________________________________

© 1994-2014 Drexel University. All rights reserved.
http://mathforum.org/
The Math Forum is a research and educational enterprise of the Drexel University School of Education.The Math Forum is a research and educational enterprise of the Drexel University School of Education.