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25 results.

AD4 Quadratics - factorise (a not 1)
Ready to use
Question in Skills Audits for Maths and Stats by Andrew Neate and 2 others

Factorise a quadratic equation where the coefficient of the $x^2$ term is greater than 1 and then write down the roots of the equation
AD1 Factorising a Quadratic (a=1)
Ready to use
Question in Skills Audits for Maths and Stats by Andrew Neate and 3 others

Factorise three quadratic equations of the form $x^2+bx+c$ .

The first has two negative roots, the second has one negative and one positive, and the third is the difference of two squares.
Simple Quadratic Equations
Ready to use
Question in DIAGNOSYS by Christian Lawson-Perfect and 3 others

No description given
Linear Equations
Draft
Question in DIAGNOSYS by Christian Lawson-Perfect and 3 others

No description given
Simple Factorisation
Draft
Question in DIAGNOSYS by Christian Lawson-Perfect and 3 others

No description given
Julie's copy of Second order differential equations 1
Draft
Question in Julie's workspace by Julie Crowley

Solve: $\displaystyle \frac{d^2y}{dx^2}+2a\frac{dy}{dx}+(a^2+b^2)y=0,\;y(0)=1$ and $y'(0)=c$ .

rebelmaths
Julie's copy of Second order differential equations 2
Draft
Question in Julie's workspace by Julie Crowley

Method of undermined coefficients:

Solve: $\displaystyle \frac{d^2y}{dx^2}+2a\frac{dy}{dx}+a^2y=0,\;y(0)=c$ and $y(1)=d$ . (Equal roots example). Includes an interactive plot.

rebelmaths
Using the Quadratic Formula to Solve Equations of the Form $ax^2 +bx+c=0$
Ready to use
Question in Transition to university by Hannah Aldous and 1 other

Apply the quadratic formula to find the roots of a given equation. The quadratic formula is given in the steps if the student requires it.
Logarithms: Solving equations 6
Draft
Question in Bill's workspace by Bill Foster

Solve for $x$ : $c(a^2)^x + d(a)^{x+1}=b$ (there is only one solution for this example).
Hyperbolic Functions 1
Draft
Question in Bill's workspace by Bill Foster

Solve for $x$ : $a\cosh(x)+b\sinh(x)=c$ . There are two solutions for this example.
Solving equations
Draft
Question in Bill's workspace by Bill Foster

Solve for $x$ : $\displaystyle ax ^ 2 + bx + c=0$ .
Complete the square. (Video)
Draft
Question in Bill's workspace by Bill Foster

Find $p$ and $q$ such that $ax^2+bx+c = a(x+p)^2+q$ .

Hence, or otherwise, find roots of $ax^2+bx+c=0$ .

Includes a video which shows how to solve a quadratic by completing the square.
Intersection of two circles in two points
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 1 other

Find the points of intersection of two circles.
Intersection of a straight line and a circle
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Find the points of intersection of a straight line and a circle.
Second order ODE with constant coefficients and boundary conditions
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Solve: $\displaystyle \frac{d^2y}{dx^2}+2a\frac{dy}{dx}+(a^2+b^2)y=0,\;y(0)=1$ and $y'(0)=c$ .
Solving equations
Has some problems
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Solve for $x$ : $\displaystyle ax ^ 2 + bx + c=0$ .
Solve a quadratic with the formula
Has some problems
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 2 others

Solve for $x$ : $\displaystyle ax ^ 2 + bx + c=0$ .

Entering the correct roots in any order is marked as correct. However, entering one correct and the other incorrect gives feedback stating that both are incorrect.
Complete the square
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Complete the square for a quadratic polynomial $q(x)$ by writing it in the form $a(x+b)^2+c$ . Find both roots of the equation $q(x)=0$ .
Use the quadratic formula to solve an equation in terms of an unknown variable
Ready to use
Question in Transition to university by Hannah Aldous and 2 others

Factorise a quadratic expression of the form $x^2+akx+bk^2$ for $x$ , in terms of $k$ . $a$ and $b$ are constants.
Solving Quadratic Equations with $x^2$ Coefficients of 1 by Factorising
Should not be used
Question in Transition to university by Hannah Aldous

This question tests the students ability to factorise simple quadratic equations (where the coefficient of the x^2 term is 1) and use the factorised equation to solve the equation when it is equal to 0.
Solve quadratic inequalities
Ready to use
Question in Transition to university by Bradley Bush and 1 other

This question takes the student through variety of examples of quadratic inequalities by asking them for the range(s) for which $x$ meets the inequality.
Factorising Quadratic Equations with $x^2$ Coefficients Greater than 1
Ready to use
Question in Transition to university by Hannah Aldous and 1 other

Factorise a quadratic equation where the coefficient of the $x^2$ term is greater than 1 and then write down the roots of the equation
Factorising Quadratic Equations with $x^2$ Coefficients of 1
Ready to use
Question in Transition to university by Hannah Aldous and 2 others

Factorise three quadratic equations of the form $x^2+bx+c$ .

The first has two negative roots, the second has one negative and one positive, and the third is the difference of two squares.
Extract common factors of polynomials
Has some problems
Question in Transition to university by Bradley Bush and 2 others

Factorise polynomials by identifying common factors. The first expression has a constant common factor; the rest have common factors involving variables.
Solving a quadratic equation
Draft
Question in Algebra by Lois Rollings

Solve for $x$ : $\displaystyle ax ^ 2 + bx + c=0$ .

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