363 prompts matching "Checking a Cramer's rule solution by substituting back"
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Changing the subject of a simple formula
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Solving a word problem using simultaneous equations
I am in SS 1. I'm going to explain a word problem that must be solved by setting up and so
Cross-multiplying to solve an equation with fractions
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Common sign errors in algebraic manipulation
Show me a fully worked Cambridge/Additional Maths style solution to a question on the most
Division law of indices
I am in SS 1. Teach me the division law of indices, simplifying an expression like y^9 div
Negative indices in algebraic fractions
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Fractional indices as roots
I am in SS 1. Teach me fractional indices, converting between root form and index form, su
Simplifying a mixed index expression
I am in SS 1. Quiz me with 3 short Additional Maths questions on simplifying an expression
Rewriting different bases as the same base
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Standard form calculations using indices
I am in SS 1. Teach me converting numbers to and from standard form and using the laws of
Simplifying bracketed algebraic index expressions
I am in SS 1. Quiz me with 5 short Additional Maths questions on simplifying an expression
Evaluating index expressions without a calculator
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Indices word problem: bacteria growth
I am in SS 1. Teach me a word problem where a quantity grows according to an index formula
Multiplying and dividing indices in one expression
I am in SS 1. Teach me simplifying (a^5 x a^-2) divided by a^3 fully, quoting which law is
Solving 9^x x 3^(x+1) = 1
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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
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
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 expression with three unknown letters
I am in SS 1. I'm going to explain simplifying an expression with three letters and mixed