38 results authored by Timur Zaripov - search across all users.

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• W2a: Solve an equation with reciprocals-2

Solve for $x$: $\displaystyle \frac{s}{ax+b} = \frac{t}{cx+d}$

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• W2a: Solve an equation with a reciprocal-1

Solve for $x$: $\displaystyle \frac{a} {bx+c} + d= s$

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• W2a: Rearrange linear equations to find value of an unknown

Finding the value of a variable

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• W2a: Simplifying fractions

Find $\displaystyle \frac{a} {b + \frac{c}{d}}$ as a single fraction in the form $\displaystyle \frac{p}{q}$ for integers $p$ and $q$.

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• W2b: Solve an equation in algebraic fractions

Solve for $x$: $\displaystyle \frac{px+s}{ax+b} = \frac{qx+t}{cx+d}$ with $pc=qa$.

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• W2b: Simplify logarithms

Express $\log_a(x^{c}y^{d})$ in terms of $\log_a(x)$ and $\log_a(y)$. Find $q(x)$ such that $\frac{f}{g}\log_a(x)+\log_a(rx+s)-\log_a(x^{1/t})=\log_a(q(x))$

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• W1b - Solve simultaneous equations by finding inverse matrix

Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix.

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• W1b - Cofactors, Determinant and Inverse of a 3x3 matrix

Cofactors Determinant and inverse of a 3x3 matrix.

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• W1b - Find determinants and inverses of 2x2 matrices

Find the determinant and inverse of three $2 \times 2$ invertible matrices.

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• W1c - How to enter expressions in online tests and Matlab

Dealing with expressions in online tests and in Matlab.

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