The cards Question When is the relationship between two variables linear? Tap to flip Answer When plotting it on a pair of axes forms a straight line. Question What shape does the graph of a quadratic form? Tap to flip Answer A parabola. Question If you know one value, what can a linear graph help you find? Tap to flip Answer The value it is paired with. Question When reading a value from a quadratic graph, how many matching values might there be? Tap to flip Answer There may be more than one. Question What are simultaneous equations? Tap to flip Answer Equations that represent different relationships between the same variables. Question Can one pair of values satisfy more than one equation? Tap to flip Answer Yes. Question When forming simultaneous equations from a context, why write down exactly what each letter represents? Tap to flip Answer So you can check that the same letter stands for the same thing in both equations. Question In solving simultaneous equations, what is elimination? Tap to flip Answer A technique in which one of the variables in the problem is removed. Question How can two equations be combined into a third equation? Tap to flip Answer Using the standard arithmetic operations. Question After two equations are combined, must the new equation still contain both variables? Tap to flip Answer No; it may no longer contain both. Question Subtracting a negative number is the same as what? Tap to flip Answer Adding its additive inverse. Question Once you know one of the two unknowns, how do you find the other? Tap to flip Answer Substitute the known value to find it. Question When subtracting one equation from another, what mistake should you avoid? Tap to flip Answer Subtracting the variable terms one way round but the constants the other way. Question What slower approach can find a solution satisfying two equations with two unknowns? Tap to flip Answer Trial and error. Question If a term is the same in both equations, do you add or subtract the equations to eliminate it? Tap to flip Answer Subtract. Question What does subtracting two identical values always give, even if both are negative? Tap to flip Answer Zero. Question When does adding or subtracting the equations eliminate a variable? Tap to flip Answer Only when that variable's coefficients are the same. Question If no variable has the same coefficient in both equations, what should you form first? Tap to flip Answer Equivalent equations in which the coefficients of one variable are the same. Question What knowledge helps when choosing how to make the coefficients match? Tap to flip Answer Knowledge of the LCM (lowest common multiple). Question When scaling an equation, what must be multiplied by the same value? Tap to flip Answer Every term on both sides of the equals sign. Question In algebra, what can substitution replace variables with? Tap to flip Answer Values, terms or expressions. Question In the substitution method, once one variable is the subject of an equation, what do you do? Tap to flip Answer Substitute its equivalent expression into the other equation. Question When substituting one expression into another, what should you always use? Tap to flip Answer Brackets. Question What does multiplying a negative value by a negative value give? Tap to flip Answer A positive value. Question When solving simultaneous equations graphically, where is the solution? Tap to flip Answer At the point of intersection of the two lines. Question If the two lines are parallel, how many solutions are there? Tap to flip Answer None. Question If the two lines lie on top of each other, how many solutions are there? Tap to flip Answer Infinitely many. Question Is one method always the best for solving simultaneous equations? Tap to flip Answer No; the features of the equations may make one method preferable, and any valid method can be used. Question How can you check a solution found by one method? Tap to flip Answer Use one of the other methods. Question What feature of a problem may mean simultaneous equations can be written for it? Tap to flip Answer It gives multiple ways of connecting two things. Question How should the solutions to a problem in context be given? Tap to flip Answer In context. Where this deck sits in the curriculum Curriculum National Curriculum for England Stage GCSE (Years 10–11) Course GCSE Maths Unit Simultaneous equations: 2 variables Tiers foundation and higher England's National Curriculum sets what is taught; the units and their order are Oak National Academy's. Flash Feed is not affiliated with Oak or any exam board.
How this deck was checked On 2026-11-02, every card was compared with its source: the lessons of Oak National Academy, a public body funded by England's Department for Education that publishes lessons for the national curriculum. Because the cards come from those lessons, no second source was sought. The comparison was done automatically, not by a teacher, so a card can still be wrong. Flash Feed is not affiliated with any source named here.
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A Maths lesson by Oak National Academy licensed under Open Government Licence (OGL)
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