Mga Aralin sa Algebra: Paano Lutasin ang Problema sa Algebra

Ang bawat problema sa algebra ay nauuwi sa ilang hakbang: pasimplehin, gawin ang parehong bagay sa magkabilang panig, at suriin. Itinuturo ng mga araling ito ang bawat hakbang gamit ang mga halimbawang nalutas na sinusuri ng math engine ng Sumzo ang sagot.

18 artikulo

5 minutong basahin
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 minutong basahin
Solving linear equations
Use inverse operations to get the unknown on its own, keep the equation balanced, and always check your answer.
2 minutong basahin
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 minutong basahin
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 minutong basahin
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 minutong basahin
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 minutong basahin
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 minutong basahin
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 minutong basahin
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 minutong basahin
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 minutong basahin
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 minutong basahin
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 minutong basahin
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 minutong basahin
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 minutong basahin
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 minutong basahin
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 minutong basahin
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 minutong basahin
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.

Paano harapin ang anumang problema sa algebra

Basahin kung ano ang hinihingi: pasimplehin ang isang expression, o lutasin ang equation para sa isang titik?
Pasimplehin ang bawat panig: alisin ang mga panaklong at pagsamahin ang magkakatulad na term.
Baligtarin ang mga operasyon sa pabaligtad na pagkakasunod — pagdaragdag at pagbabawas muna, saka pagpaparami at paghahati — at gawin ang pareho sa magkabilang panig.
Suriin sa pamamagitan ng paglalagay ng iyong sagot sa orihinal na problema.

Isang nalutas na problema sa algebra

Lutasin ang $4(x - 2) = 2x + 6$ . I-expand: $4x - 8 = 2x + 6$ . Ibawas ang $2x$ : $2x - 8 = 6$ . Idagdag ang 8: $2x = 14$ , kaya $x = 7$ .

Pagsusuri: $4(7 - 2) = 20$ at $2(7) + 6 = 20$ . Magkapareho ang dalawang panig, kaya tama ang $x = 7$ .

Aling aralin sa algebra ang kailangan ko?

Mga equation na may isang unknown: magsimula sa mga equation at linear equation.
May $x^2$ sa problema: mga quadratic equation, saka ang pag-factor ng polynomial.
Mga fraction na may $x$ : mga rational expression at rational equation.
Mga graph, $f(x)$ at $y =$ : pag-graph ng equation, mga function at slope.
Kuwento sa halip na simbolo: paano lutasin ang mga word problem.

Mga madalas itanong

Saan ako makakakuha ng tulong sa algebra para sa sarili kong problema?

I-type ito sa algebra calculator ng Sumzo: ipinapakita nito ang bawat hakbang, at sinusuri ng math engine nito ang sagot. Itinuturo ng mga aralin dito ang mga paraan sa likod ng mga hakbang na iyon.

Paano ko susuriin ang mga sagot ko sa algebra?

Ilagay ang iyong sagot sa orihinal na equation. Kung magkapareho ang dalawang panig, tama ito — kung hindi, hanapin ang unang linya kung saan binago ng iyong solusyon ang equation.

Ano ang dapat kong unang matutunan sa algebra?

Ang pagpapasimple ng mga expression at paglutas ng one-step at two-step na equation. Lahat ng susunod — quadratic, function, system — ay nakasalalay rito.