Algebra and Graphs - Math Angel

Solving Simultaneous Equations Graphically

$System of linear equations representing Sebastian's and Sarah's ages with equations x + y = 20 and x - y = 10.$

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Simultaneous Equations: Equal Values and Substitution Method

$Methods for solving linear systems using Equal Values and Substitution methods, showing steps to isolate variables and solve equations.$

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Elimination Method for Solving Simultaneous Equations

$Solving simultaneous equations using the elimination method with subtraction steps.$

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Finding the Equation of a Straight Line

$Finding the equation of a straight line (y = mx + c) using two points, and steps to calculate gradient (m) and y-intercept (c) with points (2,3) and (4,7) on a graph.$

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How to Find x Intercept, y Intercept, and Intersections

$Diagram explaining the x- and y-intercepts of linear equations using the equation y = 200 - 50x, illustrating where the line crosses the axes.$

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Solving Equations with 2 Variables

$An example of equations with 2 variables: x + 2y = 20, illustrating multiple solutions.$

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Introduction to Functions and Graphs

$Visual representation of function notation showing the function f(x) = 2x + 1 and its calculated outputs for f(1), f(2), and f(3).$

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Gradient and Y-Intercept in Linear Equations

$In y = mx + c, m is the gradient, and c is the y-intercept of linear equations (a straight line on graph).$

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How to Write Quadratic Equations in Vertex Form and Standard Form

$Quadratic equations with vertex form y = a(x - h)² + k and general form y = ax² + bx + c, labelled as methods for forming quadratic equations.$

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Solving Simple Quadratic Equations

$Solving simple quadratic equations with examples: x² = k leading to x = ±?k, and x² - dx = 0 leading to x = 0 or x = d.$

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Solving Simultaneous Equations Graphically

Simultaneous Equations: Equal Values and Substitution Method

Elimination Method for Solving Simultaneous Equations

Finding the Equation of a Straight Line

How to Find x Intercept, y Intercept, and Intersections

Solving Equations with 2 Variables

Introduction to Functions and Graphs

Gradient and Y-Intercept in Linear Equations

How to Write Quadratic Equations in Vertex Form and Standard Form

Solving Simple Quadratic Equations

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