AB3 - Collecting terms (higher powers) - Numbas at mathcentre.ac.uk

Error

There was an error loading the page.

Contributors

Feedback

From users who are members of Skills Audits for Maths and Stats :

Will Morgan	said	Ready to use	1 year, 1 month ago
Andrew Neate	said	Needs to be tested	1 year, 1 month ago

History

○

Will Morgan 1 year ago

Published this.

○

Will Morgan 1 year, 1 month ago

Gave some feedback: Ready to use

○

Andrew Neate 1 year, 1 month ago

Gave some feedback: Needs to be tested

○

Andrew Neate 1 year, 1 month ago

Created this as a copy of AB1 - Collecting terms.

Name	Status	Author	Last Modified
Algebra: Combine Like Terms	Ready to use	Michael Proudman	07/12/2021 11:10
Simplify: Combine Like Terms	Ready to use	Ruth Hand	15/08/2023 10:31
David's copy of Algebra: Combine Like Terms	Ready to use	David Spafford	14/07/2022 12:33
Simplify: Combine Like Terms PRAC EXAM	Ready to use	Yvonne Wancke	08/01/2023 14:29
Simplify: Combine Like Terms EXAM	Ready to use	Yvonne Wancke	01/03/2023 11:24
Yvonne's copy of Simplify: Combine Like Terms EXAM	Ready to use	Yvonne Wancke	22/03/2023 10:20
Simplify: Combine Like Terms EXAM S1MT2	Ready to use	Yvonne Wancke	22/03/2023 11:35
AB2 Collect terms (including squares)	Ready to use	Megan Oliver	09/04/2024 15:03
AB1 - Collecting terms	Ready to use	Andrew Neate	09/04/2024 15:02
AB3 - Collecting terms (higher powers)	Ready to use	Andrew Neate	09/04/2024 15:03

There are 21 other versions that do you not have access to.

Question statement

Simplify the following expression by combining "like" terms.

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	4
c	integer	6
b	integer	8
d	integer	2
f	integer	5
e	integer	-5

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(1..10)

JME function reference

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`

Advice

First we expand the minus sign in the bracket.

$\simplify[!collectNumbers]{{a}x^4+{b}x+{c}x^3+{d}x^4-({f}x+{e}x^3)}=\simplify[!collectNumbers]{{a}x^4+{b}x+{c}x^3+{d}x^4+{-f}x+{-e}x^3}$

The idea is to collect together and combine any terms that are the same kind of term so:

$\var{b}x$ and $\var{-f}x$ both have an $x$ term. We can combine them to get $\var{b-f}x$

We can combine $\var{a}x^4$ and $\var{d}x^4$ to get $\var{a+d}x^4$ .

We combine $\var{c}x^3$ and $\var{-e}x^3$ to get $\var{c-e}x^3$ . So our answer is:

$\simplify{{a+d}x^4+{c+e}x^3+{b+f}}$

Use this link to find some resources which will help you revise this topic.

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?
Mathematical expression
Mathematical expression		Hasn't run yet

This question is used in the following exams:

Loading...

Error

AB3 - Collecting terms (higher powers)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Will Morgan 1 year ago

Will Morgan 1 year, 1 month ago

Andrew Neate 1 year, 1 month ago

Andrew Neate 1 year, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Mathematical expression

Advanced settings

Checking accuracy

Variable value generators

Pattern restriction

Variables

String restrictions

Loading...

Error

AB3 - Collecting terms (higher powers)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Will Morgan 1 year ago

Will Morgan 1 year, 1 month ago

Andrew Neate 1 year, 1 month ago

Andrew Neate 1 year, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Mathematical expression

Advanced settings

Checking accuracy

Variable value generators

Pattern restriction

Variables

String restrictions

Generated value: `integer`