755 prompts matching "Structured question: solve a quadratic inequality and state the range"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
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
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
Index expression with three unknown letters
I am in SS 1. I'm going to explain simplifying an expression with three letters and mixed
Simplifying nested surds
I am in SS 1. I'm going to explain simplifying an expression containing a surd within a su
Rationalising a denominator with three surd terms
I am in SS 1. I'm going to explain rationalising a more unusual denominator involving more
Set-builder notation basics
I am in SS 1. I'm going to explain reading and writing sets using set-builder notation, su
Number of elements in a set from a Venn diagram region count
I am in SS 1. I'm going to explain counting n(A only), n(B only) and n(A and B) separately
Power set of a three-element set
I am in SS 1. I'm going to explain listing the full power set of a three-element set, incl
Recurring decimals as an infinite geometric series
I am in SS 1. I'm going to explain how a recurring decimal, such as 0.777..., can be writt
Common student mistakes with progression formulas
I'm going to explain the most common mistakes SS1 students make when applying the AP and G
Gradient from a linear equation
I am in SS 1. I'm going to explain finding the gradient and y-intercept of a line directly
Area of a triangle from three coordinates
I am in SS 1. I'm going to explain finding the area of a triangle given the coordinates of
Gradient as a rate of change interpretation
I am in SS 1. I'm going to explain interpreting the gradient of a straight-line graph as a
Subtracting two algebraic fractions
I am in SS 1. I'm going to explain subtracting two algebraic fractions with different deno
Solving simultaneous linear equations by substitution
I am in SS 1. I'm going to explain solving a pair of simultaneous linear equations by the
Worked Example: What makes two surds equal
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on what m
Explain Back: Multiplying root a by root b
I have just studied multiplying root a by root b in my SS1 Further Mathematics class. Let
Worked Example: Rationalising a denominator that is a single surd
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on ration
Worked Example: Squaring both sides safely when solving a surd equation
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on squari
Worked Example: Testing a*b against b*a for a given rule
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on testin