The cards Question What are simultaneous equations? Tap to flip Answer Equations that represent different relationships between the same variables. 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 To solve two linear simultaneous equations graphically, how do you draw their graphs? Tap to flip Answer Draw the graphs of both equations on the same axes. Question On a graph of two simultaneous linear equations, what is the solution (if one exists)? Tap to flip Answer The point of intersection of the two lines. Question How many solutions do two simultaneous linear equations have if their lines are parallel? Tap to flip Answer None: there are no solutions. Question How many solutions do two simultaneous linear equations have if their lines lie on top of each other? Tap to flip Answer Infinitely many. Question When reading a coordinate pair, which value comes first? Tap to flip Answer The x value, read from the x-axis; the y value, read from the y-axis, comes second. Question If a point that lies on neither line is substituted into two simultaneous equations, how many of the equations are valid? Tap to flip Answer Neither equation is valid. Question If a point that lies on just one of the lines is substituted into two simultaneous equations, how many of the equations are valid? Tap to flip Answer One equation is valid. Question A point not on a line is substituted into its equation and the two sides differ. What change makes the statement true? Tap to flip Answer Replacing the equals sign with an inequality sign. Question What is an inequality used to show? Tap to flip Answer That one expression may not be equal to another. Question Besides algebraically, how can an inequality be represented graphically? Tap to flip Answer On a number line. Question On a number line showing an inequality, what does a filled-in circle mean? Tap to flip Answer That value is valid: it satisfies the inequality. Question On a number line showing an inequality, what does an empty circle mean? Tap to flip Answer The inequality is strict. Question Can more than one inequality be shown on the same number line? Tap to flip Answer Yes: multiple inequalities can be shown on one number line. Question How is a linear inequality solved? Tap to flip Answer Using the rules of algebraic manipulation. Question What happens to the inequality sign when you multiply or divide both sides by a negative number? Tap to flip Answer The inequality sign reverses. Question On the number line, why does multiplying by a negative number reverse an inequality sign? Tap to flip Answer It is a reflection in the number line at 0. Question What does 2 < 3 become when both sides are multiplied by −1? Tap to flip Answer −2 > −3 Question How can a combined inequality be solved easily? Tap to flip Answer By treating it as two separate inequalities. Question When are inequalities used in real life? Tap to flip Answer When a constraint is needed. Question Give one reason why constraints exist when handling a project. Tap to flip Answer e.g. cost or supply limitations. Question Why is it useful to find a set of possible solutions to a problem with constraints? Tap to flip Answer It allows you to work within the constraints. Question In a practical context such as project management, why is it useful to know when one constraint is not being met? Tap to flip Answer It can suggest where additional resources, if available, should be allocated. Where this deck sits in the curriculum Curriculum National Curriculum for England Stage GCSE (Years 10–11) Course GCSE Maths Unit Inequalities 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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