1,334 prompts matching "Teach me solving a linear and a quadratic equation by substitution"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Solve x^2 + 7x - 18 = 0 with full exam working
I am in SS 3. Give me the equation x^2 + 7x - 18 = 0 as an Additional Maths exam question
Solve 3x^2 + x - 14 = 0 with full exam working
I am in SS 3. Give me the equation 3x^2 + x - 14 = 0 as an Additional Maths exam question
Solve 5^(x+2) = 125^(x-1) with full working
I am in SS 3. Give me the exponential equation 5^(x+2) = 125^(x-1) as a structured questio
Solve log2(x+1) + log2(x-1) = 3 with full working
I am in SS 3. Give me the logarithmic equation log2(x+1) + log2(x-1) = 3 as a structured e
Structured question: circle centre (3,-2) radius 5
I am in SS 3. Give me a structured question where the circle has centre (3,-2) and radius
Solve 2sin(x) + 1 = 0 for 0 to 360 degrees
I am in SS 3. Give me the trigonometric equation 2sin(x)+1=0 to solve for all values of x
Find the tangent to y = x^2 - 4x + 7 at x = 3
I am in SS 3. Give me the curve y = x^2 - 4x + 7 as a structured question: find the gradie
Spot my mistake: finding a stationary point
I am in SS 3. I will show you my working for finding and classifying a stationary point of
Worked example: find where the tangent to y = x^3 crosses the x-axis
I am in SS 3. Show me a full worked example finding the equation of the tangent to y=x^3 a
Structured word problem: fencing a rectangular garden
I am in SS 3. Set me a structured Additional Maths word problem where a farmer in Nigeria
Structured question: stating the domain of the inverse of a fractional function
You are my SS3 Further Mathematics tutor. Teach me stating the domain of the inverse of a
Structured question: logarithmic inequality
I am in SS 3. Set me a structured question solving a simple logarithmic inequality, and ch
Structured question: curve sketching using stationary points
I am in SS 3. Give me a structured question where I find the stationary points of a cubic
Structured question: logic puzzle solved with a truth table
I am in SS 3. Give me a short logic puzzle involving two or three statements about people
Learn: Why two matrices can be added only when their orders match
You are my personal SS3 Further Mathematics tutor. Teach me why two matrices can be added only when their orders match, working in clear steps and saying what the notation means as you use it. Check I have followed each step before moving on, and finish with one short question for me to try.
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Learn: The distributive law for a scalar over a sum of matrices
You are my personal SS3 Further Mathematics tutor. Teach me the distributive law for a sca
Learn: Deciding whether a stated matrix calculation is possible at all
You are my personal SS3 Further Mathematics tutor. Teach me deciding whether a stated matr
Learn: The effect on a determinant of swapping two rows
You are my personal SS3 Further Mathematics tutor. Teach me the effect on a determinant of
Learn: Converting a weight given in kilogram-force into newtons
You are my personal SS3 Further Mathematics tutor. Teach me converting a weight given in k
Learn: The resultant of two perpendicular forces
You are my personal SS3 Further Mathematics tutor. Teach me the resultant of two perpendic