729 prompts matching "Solving an inequality that involves a modulus"
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Coordinate geometry involving a right-angle condition to find x
I am in SS 1. Teach me finding an unknown coordinate x so that two given line segments mee
Full worked exam-style problem combining gradient, distance and midpoint
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Simplifying an expression with brackets and indices together
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Multi-part algebraic manipulation exam question
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Simplifying expressions with like and unlike terms
I am in SS 1. Teach me correctly identifying and collecting like terms in a longer algebra
Cross-multiplying to solve an equation with fractions
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Common Mistakes: Why a rational number added to an irrational one stays irrational
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Worked Example: Adding two surds that simplify to the same root
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Show All Working: Simplifying a surd expression that contains brackets
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Common Mistakes: Expanding the product of two surd brackets
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Worked Example: Rationalising a denominator that is a single surd
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Show All Working: Checking a rationalised answer by decimal approximation
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Worked Example: Squaring both sides safely when solving a surd equation
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Show All Working: Finding a and b when a plus b root 2 equals a given surd
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Common Mistakes: A surd equation that has no real solution
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Common Mistakes: A binary operation that is ordinary addition in disguise
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Common Mistakes: Subtraction as an example of neither law
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Show All Working: Using distributivity to simplify an expression
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Show All Working: An element with no inverse under a given operation
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Common Mistakes: Checking an inverse by working the operation both ways
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