207 results for "algebraic".

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Practice with adding, subtracting and dividing basic algebraic fractions

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A quadratic function is given. The graph of the function is drawn with three coordinates on the graph, without any x or y ticks.  The $x$ coordinate is given for a couple and $y$ coordinate given for the third, and coordinates are asked for.

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Practice with adding, subtracting and dividing basic algebraic fractions

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Express $\displaystyle a \pm \frac{c}{x + d}$ as an algebraic single fraction.

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A few simple functions are provided of the form ax, x+b and cx+d. Values of the functions, inverses and compositions are asked for. Most are numerical but the last few questions are algebraic.

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Add, subtract, multiply and divide algebraic fractions.

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Add, subtract, multiply and divide algebraic fractions.

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Given a description in words of the costs of some items in terms of an unknown cost, write down an expression for the total cost of a selection of items. Then simplify the expression, and finally evaluate it at a given point.

The word problem is about the costs of sweets in a sweet shop.

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A few simple functions are provided of the form ax, x+b and cx+d. Values of the functions, inverses and compositions are asked for. Most are numerical but the last few questions are algebraic.

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No description given

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Find $\displaystyle \int\frac{ax^3+ax+b}{1+x^2}\;dx$. Enter the constant of integration as $C$.

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Inputting algebraic expressions into Numbas.

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Inputting ratios of algebraic expressions.

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Entering numbers and algebraic symbols  in Numbas.

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

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Express $\displaystyle \frac{a}{x + b} \pm \frac{c}{x + d}$ as an algebraic single fraction over a common denominator.

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Express $\displaystyle b+ \frac{dx+p}{x + q}$ as an algebraic single fraction.

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Express $\displaystyle ax+b+ \frac{dx+p}{x + q}$ as an algebraic single fraction.

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Express $\displaystyle \frac{ax+b}{x + c} \pm \frac{dx+p}{x + q}$ as an algebraic single fraction over a common denominator.

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Express $\displaystyle \frac{ax+b}{cx + d} \pm \frac{rx+s}{px + q}$ as an algebraic single fraction over a common denominator.

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Express $\displaystyle \frac{ax+b}{x + c} \pm \frac{dx+p}{x + q}$ as an algebraic single fraction over a common denominator.

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Express $\displaystyle \frac{a}{(x+r)(px + b)} + \frac{c}{(x+r)(qx + d)}$ as an algebraic single fraction over a common denominator. The question asks for a solution which has denominator $(x+r)(px+b)(qx+d)$.

• Simplify logarithms
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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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Solve a simple linear equation algebraically. The unknown appears on both sides of the equation.

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Find the remainder when dividing two polynomials, by algebraic long division.

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Given a description in words of the costs of some items in terms of an unknown cost, write down an expression for the total cost of a selection of items. Then simplify the expression, and finally evaluate it at a given point.

The word problem is about the costs of sweets in a sweet shop.

• Algebraic manipulation