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 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    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. 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 1,500-meter 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 2x-y = 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 3x-2y = 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)=x-2(3)+4 ; g(x)=x-2(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 12-hour period of time? Height of the Ball [01/05/1998] A football player kicked a 41-yard 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(25-11*2) into my TI-85, I get an answer of 2. If I include a multiplication symbol to have 36/6*(25-11*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? Inequalities [08/01/1997] How do I deal with an equation with a greater than or less than sign? Inequalities and Absolute Value [8/28/1996] How do I find the solution set for problems like |X| > X and |X + 2| - X >= 0? Page: []

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