# Where am I with Algebra?

## Find out how developed your algebra skills are and then take them to the next level.

##### Where am I with Algebra?InstructionsExam-StyleAlgebraChecklists

Click the circles to show your proficiency or click a blue button to do an online exercise.

 1 If $$a = 8$$ and $$b = 7$$ find the value of $$5a - 2b$$ Quite easy Need practice Want to learn Exercise 2 Simplify: $$3x + 5x + 7$$ Quite easy Need practice Want to learn Exercise 3 Solve for $$x$$: $$4x - 9 = 11$$ Quite easy Need practice Want to learn Exercise 4 Factorise: $$12a+4ab$$ Quite easy Need practice Want to learn Exercise 5 Expand: $$(x + 3)(x - 4)$$ Quite easy Need practice Want to learn Exercise 6 Solve for $$x$$: $$3x^2 - 12x = 0$$ Quite easy Need practice Want to learn Exercise 7 Simplify:$$\dfrac{2x^2 + 4x}{2x}$$ Quite easy Need practice Want to learn Exercise 8 Rearrange to make $$y$$ the subject: $$3y + 2x = 12$$ Quite easy Need practice Want to learn Exercise 9 Solve the inequality for $$x$$: $$2x + 3 > 11$$ Quite easy Need practice Want to learn Exercise 10 Solve for $$x$$:$$\dfrac{3x - 7}{2} = 4$$ Quite easy Need practice Want to learn Exercise 11 Expand and simplify: $$(x - 2)(x^2 + 3x + 2)$$ Quite easy Need practice Want to learn Exercise 12 Solve for $$x$$: $$2x^2 + 3x - 5 = 0$$ Quite easy Need practice Want to learn Exercise 13 Solve for $$x$$: $$25x^2 - 16 = 0$$ Quite easy Need practice Want to learn Exercise 14 Solve for $$x$$$$5x^2 -8x + 2 = 0$$ Quite easy Need practice Want to learn Exercise 15 Rearrange to make $$x$$ the subject$$y = 3x^2 + 2x - 7$$ Quite easy Need practice Want to learn Exercise 16 Solve the inequality for $$x$$: $$3x^2 + 2x - 1 \leq 0$$ Quite easy Need practice Want to learn Exercise 17 Solve for $$x$$: $$\dfrac{x}{2} + \dfrac{x}{3} = 5$$ Quite easy Need practice Want to learn Exercise 18 Solve the simultaneous equations:$$y = 2x + 3$$$$x - y = 4$$ Quite easy Need practice Want to learn Exercise 19 Solve the simultaneous equations:$$y = x^2 - 5$$$$2x + 9y = 5$$ Quite easy Need practice Want to learn Exercise 20 Find the remainder when $$3x^2-7x+1$$ is divided by $$x-2$$ Quite easy Need practice Want to learn Exercise

## Transum.org

This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.

## More Activities:

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 21 October 'Starter of the Day' page by Mr Trainor And His P7 Class(All Girls), Mercy Primary School, Belfast:

"My Primary 7 class in Mercy Primary school, Belfast, look forward to your mental maths starters every morning. The variety of material is interesting and exciting and always engages the teacher and pupils. Keep them coming please."

Comment recorded on the 2 May 'Starter of the Day' page by Angela Lowry, :

"I think these are great! So useful and handy, the children love them.
Could we have some on angles too please?"

Each month a newsletter is published containing details of the new additions to the Transum website and a new puzzle of the month.

The newsletter is then duplicated as a podcast which is available on the major delivery networks. You can listen to the podcast while you are commuting, exercising or relaxing.

Transum breaking news is available on Twitter @Transum and if that's not enough there is also a Transum Facebook page.

##### Featured Activity

The Transum Newsletter for August 2024 has just been published. Click on the image above to read about the latest developments on this site and try to solve the puzzle of the month. You can read the newsletter online or listen to it by downloading the podcast.

## Numeracy

"Numeracy is a proficiency which is developed mainly in Mathematics but also in other subjects. It is more than an ability to do basic arithmetic. It involves developing confidence and competence with numbers and measures. It requires understanding of the number system, a repertoire of mathematical techniques, and an inclination and ability to solve quantitative or spatial problems in a range of contexts. Numeracy also demands understanding of the ways in which data are gathered by counting and measuring, and presented in graphs, diagrams, charts and tables."

Secondary National Strategy, Mathematics at key stage 3

## Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths main page links to more activities designed for students in upper Secondary/High school.

## Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

Alternatively, if you use Google Classroom, all you have to do is click on the green icon below in order to add this activity to one of your classes.

It may be worth remembering that if Transum.org should go offline for whatever reason, there are mirror site at Transum.info that contains most of the resources that are available here on Transum.org.

When planning to use technology in your lesson always have a plan B!

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

For Students:

For All:

Scan the QR code below to visit the online version of this activity.

https://www.Transum.org/go/?Num=1064

## Instructions for Using This 'Where Am I' Page

Welcome to your personalized algebra practice page! This platform is designed to help you identify your strengths and areas for improvement in algebra. Here's how to make the most of it:

### 1. Marking Your Confidence Level:

Next to each algebraic question, you'll find three circles.

• Quite Easy: If you find a question straightforward and are confident in solving it, click on the circle labeled "Quite Easy".
• Need Practice: If you're familiar with the type of question but need some more practice to master it, click on the circle labeled "Need Practice".
• Want to Learn: If you're unfamiliar with the type of question or find it challenging, click on the circle labeled "Want to Learn".

### 2. Self-Marking Exercises:

Beside each question, there's a blue button. Clicking on this button will take you to a self-marking exercise tailored to that specific type of algebraic question.

• Attempt the exercise and check your answers instantly to see how well you've done.
• Click on the Help tab of the exercise to see the method of solution.
• Use these exercises to practice and improve your skills in areas you've marked as "Need Practice" or "Want to Learn".

### 3. Privacy Note:

Your selections and progress on this page are for your eyes only. The page does not save or store any of your information once you leave. Feel free to revisit and update your selections as often as you'd like.