Algebraic equations | Improve Tuition | Tutors | Tuition | Tutoring | Tutor

Table of Contents

Week 1 | English Grammar

Day 1| Auxiliary verbs

Day 2 |Am/is/are

Day 3 |Am/is/are Questions

Day 4 |I am doing (present continuous)

Day 5 |Are you doing? (present continuous questions)

Day 6 |I do/work/like (present simple)(present continuous questions)

Week 2 | English Grammar

Day 1 |I don't... (present simple negative)

Day 2 |Do you...? (present simple questions)

Day 3 |I am doing (present continuous) I do (present simple)

Day 4 |I have... and I've got...

Day 5 |Was/were

Day 6 |Worked/got/went etc (past simple)

Week 3 | English Grammar

Day 1 |I didn't... did you...? (past simple negative and questions)

Day 2 |I was doing (past continuous)

Day 3 |I was doing (past continuous) and I did (past simple)

Day 4 |I have done (present perfect 1)

Day 5 |I've just... I've already... I haven't...yet (present perfect 2)

Day 6 |Have you ever...? (present perfect 3)

Week 4| English Grammar

Day 1 |How long have you...? (present perfect 4)

Day 2 |For, since, ago

Day 3 |I have done (present perfect) and I did (past)

Day 4 |Is done, was done (passive 1)

Day 5 |Is being done, has been done (passive 2)

Day 6 |Be/have/do in present and past tenses

Week 5| English Grammar

Day 1 |Regular and irregular verbs

Day 2 |What are you doing tomorrow?

Day 3 |I'm going to...

Day 4 |Will/shall (1)

Day 5 |Will/shall (2)

Day 6 |Might

Week 6| English Grammar

Day 1 |Can and could

Day 2 |Must, mustn't, don't, need to

Day 3 |Should

Day 4 |I have to

Day 5 |Would you like...?

Day 6 |Do this! Don't do that! Let's do that

Week 7| English Grammar

Day 1 |I used to...

Day 2 |There is... There are...

Day 3 |There was/were... There has/have been... There will be...

Day 4 |It...

Day 5 |I am, I don't

Day 6 |Have you? Are you? Don't you? etc

Week 8| English Grammar

Day 1 |Too/either/so am I/neither do I etc

Day 2 |Isn't/haven't/don't etc (negatives)

Day 3 |Do they? Is it? Have you?

Day 4 |Forming questions (who/what/why/where/when/which)

Day 5 |What...? Which...? How...?

Day 6 |How long does it take...?

Week 9| English Grammar

Day 1 |Do you know where...? I don't know what... etc

Day 2 |He/she said that... He/she told me that...

Day 3 |Work/working Go/going Do/doing

Day 4 |I want you to... I told you to...

Day 5 |I went to the shop to...

Day 6 |Go to... Go on... Go for... Go -ing... Get…

Week 10| English Grammar

Day 1 |Get...

Day 2 |Do and make

Day 3 |Have...

Day 4 |I/me He/him They/them etc

Day 5 |My/his/their etc

Day 6 |Whose is this? It's mine/yours/hers etc

Week 11| English Grammar

Day 1 |Myself/yourself/themselves etc

Day 2 |A/an...

Day 3 |Singular & plural

Day 4 |The...

Day 5 |Go to...

Day 6 |This/that/these/those

Week 12| English Grammar

Day 1 |Some & any

Day 2 |All/most/some/any/no/none etc

Day 3 |Adjectives

Day 4 |Adverbs

Day 5 |Imperatives

Day 6 |And but or so because

Week 13| English Grammar

Day 1 |When...

Day 2 |If we go... if you see... etc

Day 3 |If I had... If we went... etc

Day 4 |A person who... A thing that/which (relative clauses 1)

Day 5 |How long have you…?(present perfect 4)

Day 6 |For since ago

Algebraic equations


KS3 Maths Foundation Questions – Algebraic equations


 

1) Solve the linear equations:

a) 5x + 9 = 16, x =

b) 9 – 3x = 12, x =

c) 20x – 20 = 180, x =

d) 45 + 9x = 98, x =

e) 6y + 8 = 50, y =

f) 44 – 4y = 84, y =

g) 15y – 20 = 70, y =

h) 38 + 8y = 94, y =

 

 

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2) Solve these harder linear equations:

a) 5? x 9 = 90, ? =

b)

c) 6y x 3 = 54, y =

d)

e) 7? x 8 = 224, ? =

f)

g) 6y x 8 = 384, y =

h)

 

 

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3)Solve for x:

a) 5? + 9 = 6?, ? =

b) 5? + 17 = 7? − 13 , ? =

c) 6? + 3 = 9? + 24, ? =

d) 12? – 18 = 6? + 144 ? =

e) 10? – 9 = 4? – 177 ? =

f) 76 – 13? = 172 – ?, ? =

g) 12 – 3? = 81 – 6?, ? =

 

 

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KS3 Maths Higher Questions – Algebraic equations


improve-tution3

 

1) Solve the equations:

a) 45 + 9x = 98, x =

b) 6y + 8 = 50, y =

c) 6y x 3 = 54, y =

d) 7? x 8 = 224, ? =

e)

f)

g)

h)

 

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2) Solve for x:

a) 3(? − 1) = 21, ? =

b) 2(3? – 5) = 170 , ? =

c) 6(4? + 7) = 282, ? =

d) 6(2? – 3) = 6(? + 24) ? =

e) 10? – 9 = 4? – 177, ? =

f) 76 – 13? = 172 – ?, ? =

g) 3(4 – ?) = 3(27 – 3?), ? =

 

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3) Solve the following harder equations as well as quadratic and cubic equations:

a) 3(? + 2) + 2(? − 4) = ? − 3(? + 3), ? =

b) 5(? − 1) + 3(? − 4) = −11, ? =

c) ?2 −7? + 10 = 0, ? =

d) ?2 −6? – 7 = 0, ? =

e) ?3 − 3?2 + 3? – 1 = 0, ? =

f) ?3− 2?2 − 5? + 6 = 0, ? =

 

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