Transum Software

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? Instructions Exam-Style Algebra Checklists

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.

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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 1 February 'Starter of the Day' page by Terry Shaw, Beaulieu Convent School:

"Really good site. Lots of good ideas for starters. Use it most of the time in KS3."

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Featured Activity

Number Crunch Saga

Number Crunch Saga

A lively numeracy game requiring you to align three numbers to create the given target sum or product. There are five levels to this online game and a virtual Transum Trophy available for each level.

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:

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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.

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.

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.

You may want to show this page to your teacher.

4. Tips for Effective Learning:

Remember, this tool is designed to aid your learning journey. Use it regularly, practice often, and watch your algebra skills soar!

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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