517 results for "algebra".
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Exam (5 questions) in Standard Maths
Practise solving simultaneous linear equations graphically and algebraically.
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Question in Standard Maths
Students are given 2 equations of the form y=mx+b and asked to solve them using either the substitution or the elimination method. The lines are randomised but the solution coordinates are always integers.
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This quiz contains questions on algebraic fractions, logarithmic equations, exponential equations, quadratic equations and simultaneous equations.
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Splitting an algebraic fraction into partial fractions
rebelmaths
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Question in Bill's workspace
Express loga(xcyd) in terms of loga(x) and loga(y). Find q(x) such that fgloga(x)+loga(rx+s)−loga(x1/t)=loga(q(x)).
There is a video included explaining the rules of logarithms by going through simplification of logs of numbers rather than algebraic expressions.
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Question in Bill's workspace
Algebraic manipulation/simplification.
Simplify ax4+bx2+ca1x4+b1x2+c1 by cancelling a a common degree 2 factor.
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Question in Bill's workspace
Simplify (ax+b)(cx+d)−(ax+d)(cx+b). Answer is a multiple of x.
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Question in Bill's workspace
Simplify (ax+by)(cx+dy)−(ax+dy)(cx+by). Answer is a multiple of xy.
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Question in Bill's workspace
Express a±cx+d as an algebraic single fraction.
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Question in Bill's workspace
Express b+dx+px+q as an algebraic single fraction.
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Question in Bill's workspace
Express ax+b+dx+px+q as an algebraic single fraction.
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Question in Bill's workspace
Express ax+bx+c±dx+px+q as an algebraic single fraction over a common denominator.
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Question in Bill's workspace
Express ax+bcx+d±rx+spx+q as an algebraic single fraction over a common denominator.
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Question in Bill's workspace
First part: Express apx+b+cqx+d,a=−c. Numerator is an integer.
Second part: apx+b+cqx+d+rsx+t as single fraction
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Question in Bill's workspace
First part: express as a single fraction: ax+b+cx+d,a≠−c.
Second part: Find ax+b+cx+d+rx+t as a single fraction.
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Question in Bill's workspace
First part: express as a single fraction: apx+b+cqx+d.
Second part: Find apx+b+cqx+d+rsx+t as a single fraction.
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Question in Bill's workspace
Express ax+b+cx+dx2+px+q as an algebraic single fraction over a common denominator.
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Question in Bill's workspace
Express ax+b+c(x+b)2 as an algebraic single fraction.
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Question in Bill's workspace
Express ax+b+cx+d(x+b)2 as an algebraic single fraction.
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Question in Bill's workspace
Express a(x+r)(px+b)+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).
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Question in Bill's workspace
Express ax+b±cx+d as an algebraic single fraction over a common denominator.
Contains a video in Show steps.
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No description given
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Questions which try to emphasise that f(x) does not mean f times x.
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Expression of the (a+bx)^n is given and a couple of coefficients are asked for.
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Question in Ann's workspace
Practice with adding, subtracting and dividing basic algebraic fractions
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f(x)=ae−bt+c is given and plotted. A few points are plotted on the curve. x-coordinates are provided for two of them and y-coordinate provided for third. Student is required to determine other coordinates.
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A quadratic is and a graph of it is given. A tangent is also sketch. The equation of the tangent line is asked for.
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Some quadratics are to be solved by factorising
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A quadratic equation (equivalent to (x+a)2−b) is given and sketched. Three equations are given that can be solved using the graph. There is a chance there will only be one solution.
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A few quadratic equations are given, to be solved by completing the square. The number of solutions is randomised.
