365 prompts matching "Structured word problem: market trader's geometric savings"
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Solving 9^x x 3^(x+1) = 1
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on solv
Evaluating a fractional-negative index expression
I am in SS 1. Teach me evaluating 25^(-3/2) fully as a fraction without a calculator the w
Simplifying an algebraic fraction with index rules
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Rewriting an expression with only positive indices
I am in SS 1. Teach me rewriting an expression such as 3x^-2 y^3 z^-1 so every index in it
Solving an equation with a fractional exponent on x
I am in SS 1. Quiz me with 3 short Additional Maths questions on solving x^(2/3) = 4 for x
Verifying an index law with numbers
I am in SS 1. I'm going to explain verifying that a^m divided by a^n equals a^(m-n) using
Combining several index laws in one simplification
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Index equation with equal exponents, unknown base
I am in SS 1. Teach me solving an equation of the form x^3 = 125 for an unknown base x the
Index law shortcuts for mental exam questions
I am in SS 1. Quiz me with 3 short Additional Maths questions on quick mental-maths style
Explaining why a^1/n means the nth root of a
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Index expression with three unknown letters
I am in SS 1. I'm going to explain simplifying an expression with three letters and mixed
Combining index and surd notation
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Simplifying a surd by extracting square factors
I am in SS 1. Quiz me with 5 short Additional Maths questions on simplifying a surd by ext
Simplifying the square root of a larger number
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Adding and subtracting like surds
I am in SS 1. I'm going to explain adding and subtracting surds that share the same irrati
Adding surds that need simplifying first
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Multiplying a surd by an integer
I am in SS 1. Teach me multiplying a surd by a whole number, such as 4 times root 5, and s
Expanding brackets containing surds
I am in SS 1. Quiz me with 4 short Additional Maths questions on expanding a bracket conta
Expanding a binomial surd bracket
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Squaring a surd expression
I am in SS 1. Teach me squaring a binomial surd expression, such as (2 + root 5)^2, showin