Solving quadratic equations using the quadratic formula

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Rachel Staddon

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Rachel Staddon 7 years, 11 months ago

Created this.

Name	Status	Author	Last Modified
Solving quadratic equations using the quadratic formula	draft	Rachel Staddon	20/04/2017 15:42
Solving quadratic equations using the quadratic formula - AMRC	draft	Ian Loasby	24/07/2017 15:49

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Question statement

There are two values that satisfy the quadratic equation:

$\var{a1}x^2+\var{b1}x+\var{c1}=0$

Give any introductory information the student needs.

			Name	Type	Generated Value

a1	integer	1
b1	integer	23
c1	integer	8

Automatically regenerate variables?

Name

Data type

Value

A random number between and (inclusive) with step size

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `integer`

→ Used by:

Statement
Advice
Variable testing condition
"Unnamed part" → "Gap 0." - Minimum accepted value
"Unnamed part" → "Gap 0." - Maximum accepted value
"Unnamed part" → "Gap 1." - Minimum accepted value
"Unnamed part" → "Gap 1." - Maximum accepted value

Parts

Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

Type in the greater of the two values that satisfies the equation. Input your answer correct to three decimal places.

$x$ = Gap 0.

Type in the lesser of the two values that satisfies the equation. Input your answer correct to three decimal places.

$x$ = Gap 1.

Advice

The formula for solving a quadratic equation of the form $ax^2+bx+c=0$ is given by

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

In this example $a=\var{a1},\,\,\,b=\var{b1}$ and $c=\var{c1}$

$x=\frac{-\var{b1}\pm \sqrt{\var{b1}^2-4\times\var{a1}\times\var{c1}}}{2\times\var{a1}}$

$x=\frac{-\var{b1}\pm \sqrt{\simplify{{b1}^2-4*{a1}*{c1}}}}{\simplify{2*{a1}}}$

$x=\simplify{(-{b1}+ ({b1}^2-4*{a1}*{c1})^0.5)/(2*{a1})}$ or $x=\simplify{(-{b1}- ({b1}^2-4*{a1}*{c1})^0.5)/(2*{a1})}$

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet

This question is used in the following exams:

Isaac's copy of Review Questions by Isaac Mulolani in Isaac's workspace.
Review Questions by Isaac Mulolani in Isaac's workspace.

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Solving quadratic equations using the quadratic formula

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Rachel Staddon 7 years, 11 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

Loading...

Error

Solving quadratic equations using the quadratic formula

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Rachel Staddon 7 years, 11 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`