1,322 prompts matching "Practice: Working through a quadratic by completing the square, step by step"
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Scalar multiplication of a matrix #1
I am in SS 3. Set me a scalar multiplication question like A=[[5,-1],[2,3]], k=4, let me a
Scalar multiplication of a matrix #5
I am in SS 3. Set me a scalar multiplication question like A=[[0,-4,1],[2,1,-2],[3,0,5]],
Explain pre-multiplication and post-multiplication
I keep mixing up pre-multiplying and post-multiplying matrices. Use two 2x2 matrices A and
Evaluate a 2x2 determinant #3
Give me a 2x2 matrix like A=[[6,4],[-1,5]] and ask me to evaluate its determinant using ad
Solve simultaneous equations with Cramer's rule (order 2) #2
I am in SS 3. Use Cramer's rule to solve 3x - y = 5 and 2x + 4y = 6. Set up the coefficien
Solve a 3x3 simultaneous equation system with Cramer's rule #3
Use Cramer's rule to solve the system x - 2y + z = -1, 3x + y - z = 8, 2x - y + 3z = 5. Sh
Spot my mistake in finding a matrix inverse
I found the inverse of a 2x2 matrix but I think I mixed up the sign or swapped the wrong d
Solve simultaneous equations using an inverse matrix #3
Show me how to write 3x - 2y = 4 and x + y = 6 as a matrix equation, find the inverse of t
Define particle and rigid body in mechanics
Ask me to explain the difference between a particle and a rigid body in mechanics, with an
Resolve a force into horizontal and vertical components #1
Give me a resolution of forces problem with a force of 10N acting at 30 degrees to the hor
Solve a binomial probability problem #1
Give me a binomial distribution problem where n=8, p=0.3, find P(X=3), using the binomial
Solve a three coplanar forces in equilibrium problem #3
I am in SS 3. Give me a problem involving a particle held in equilibrium by three forces a
Vector addition, subtraction and magnitude #1
I am in SS 3. Give me a vector problem where a = 3i + 2j and b = -i + 5j, find a + b and a
Vector addition, subtraction and magnitude #2
I am in SS 3. Give me a vector problem where a = 2i - 4j + k and b = i + 3j - 2k, find a +
Vector addition, subtraction and magnitude #3
I am in SS 3. Give me a vector problem where a = 5i - j, find the magnitude of a. Let me a
Vector addition, subtraction and magnitude #4
I am in SS 3. Give me a vector problem where a = 2i + 3j - 6k, find the magnitude of a. Le
Vector addition, subtraction and magnitude #5
I am in SS 3. Give me a vector problem where a = 4i - 3j, find a unit vector in the direct
Spot my mistake finding a vector magnitude
I am in SS 3. I calculated the magnitude of a 3D vector but I'm not confident I squared an
Inequality word problem with a real-life constraint
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on a wo
What a function is and function notation
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on what