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Bài học đại số: Cách giải một bài toán đại số

Mọi bài toán đại số đều quy về vài bước: rút gọn, làm cùng một việc ở cả hai vế, và kiểm tra. Các bài học này dạy từng bước bằng ví dụ giải sẵn có đáp án được bộ máy toán học của Sumzo kiểm tra.

18 bài viết

• 5 phút đọc

  Equations: what they are and how to solve them

  What an equation is, what its solution means, and how to solve equations step by step — from one-step equations to fractions and two variables.

• 1 phút đọc

  Solving linear equations

  Use inverse operations to get the unknown on its own, keep the equation balanced, and always check your answer.

• 2 phút đọc

  Quadratic equations: how to solve them

  Factorising, completing the square, the quadratic formula and the discriminant — and how to tell which method to use.

• 1 phút đọc

  Slope and the equation of a line

  What slope measures, how to find it from two points, and how to write a line as y = mx + b.

• 4 phút đọc

  How to simplify radicals (simplest radical form)

  How to simplify radicals by taking out perfect-square factors, what simplest radical form means, and how to simplify radical expressions — with checked examples.

• 2 phút đọc

  Rational equations: how to solve them

  What a rational equation is, how to solve rational equations by multiplying by the lowest common denominator, and why every answer must be checked.

• 3 phút đọc

  Factoring polynomials: a step-by-step guide

  The steps for factoring polynomials — common factor first, then two, three or four terms — with worked examples, each checked by multiplying back out.

• 3 phút đọc

  Solving inequalities: how to solve and graph them

  Solving inequalities like equations — with one extra rule — and showing the answer on a number line, in interval notation and as a shaded region.

• 2 phút đọc

  What is a solution in math? Examples with one, none or many

  A solution is a value that makes an equation true. How to check one, and examples with one solution, no solution, all real numbers and two solutions.

• 2 phút đọc

  How to solve a word problem: 5 steps that work

  A five-step method for solving word problems, the key words that turn into maths, and worked examples — ages, consecutive numbers, discounts and tickets.

• 2 phút đọc

  How to graph an equation: lines, parabolas and more

  Three ways to graph an equation — a table of values, slope and intercept, and key points of a parabola — with worked examples and how to match a graph to its equation.

• 3 phút đọc

  Functions: how to graph a function, domain, range and f(g(x))

  Function notation, how to graph a function from its formula, how to find its domain and range, and how composite functions such as f(g(x)) work.

• 2 phút đọc

  Polynomials: how to simplify, expand and solve them

  What a polynomial is, how to simplify and expand polynomials, and how to solve polynomial equations by factoring — with checked examples.

• 2 phút đọc

  Rational expressions: simplify, multiply, divide, add and subtract

  What rational expressions are, their excluded values, and how to simplify, multiply, divide, add and subtract them — then solve rational equations.

• 2 phút đọc

  How to solve literal equations (rearranging formulas)

  A literal equation has several letters. Solving it means isolating one of them — the same moves as an ordinary equation, with letters instead of numbers.

• 1 phút đọc

  How to simplify expressions and complex fractions

  How to simplify the following kinds of expression: like terms, brackets, exponents and complex fractions (a fraction inside a fraction), each with checked examples.

• 1 phút đọc

  Find x: how to solve for x in equations, angles and triangles

  The questions that say “find x” — equations, angles on a line, triangle angles, Pythagoras and similar shapes — and the one idea behind all of them.

• 2 phút đọc

  Systems of equations and graphing systems of linear inequalities

  How to find the solution to a system of equations three ways, then how to graph a system of inequalities: boundary lines, shading and the overlap.