485 prompts matching "Why friction is called a self-adjusting force"
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Solving 4^x = 8^(x-1) by matching bases
I am in SS 1. I'm going to explain solving the equation 4^x = 8^(x-1) by writing both side
Index laws with an unknown letter base
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi
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
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
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on simp
Evaluating (1/2)^-3 without a calculator
I am in SS 1. I attempted an Additional Maths question on evaluating (1/2)^-3 fully withou
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
Simplifying indices before adding like terms
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Index expression with three unknown letters
I am in SS 1. I'm going to explain simplifying an expression with three letters and mixed
Full past-question style index problem, timed
I am in SS 1. Teach me a complete WAEC/Additional Maths style index question exactly as it
Reviewing all the laws of indices before a test
I am in SS 1. Quiz me with 3 short Additional Maths questions on reviewing every law of in
Adding and subtracting like surds
I am in SS 1. I'm going to explain adding and subtracting surds that share the same irrati
Multiplying two surds together
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi
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
Squaring a surd expression
I am in SS 1. Teach me squaring a binomial surd expression, such as (2 + root 5)^2, showin
Solving a simple surd equation
I am in SS 1. Teach me solving a surd equation, such as solving root(x + 4) = 3, and check
Solving a surd equation with terms on both sides
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Estimating the value of a surd
I am in SS 1. I'm going to explain estimating the approximate value of a surd such as root
Comparing the size of two surds
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on comp