Hey there! Sign in to join this conversationNew here? Join for free
    • Thread Starter
    Offline

    0
    ReputationRep:
    I've got most of the things we need in algebra apart from these fraction type questions it would seem.

    1. Solve the equation: x+2/2 = 2x


    2. Simplify: x^2-3x/x^2-9


    3. Solve: 4/x-1 = 3/2x+1

    4. Simplify fully: 4x^2-14x/6x-21

    / = Over
    ^= To the power of!

    Thank you sooo much for any help.
    Offline

    2
    ReputationRep:
    1. Start by multiplying both sides by two

    2. Do you know about the difference of two squares. Have a go at factorising the top and bottom and see what you get

    3. Any ideas on how to get the x-terms on top? Once they're on top it'll be much easier

    4. Try factorising the numerator and denominator. See what both terms on the top of bottom have in common and take that outside a bracket.
    Offline

    2
    ReputationRep:
    1. Solve the equation: x+2/2 = 2x

    Hint: times both sides by two
    Spoiler:
    Show

    x+2=4x
    2=3x
    x=2/3


    2. Simplify: x^2-3x/x^2-9

    Hint: factorise x^2-3x
    Spoiler:
    Show
    x^2-3x=x(x-3)

    Hint2: factorise x^2-9 by completing the square
    Spoiler:
    Show
    x^2-9=(x+3)(x-3)

    Hint3: divide through by (x-3)
    Spoiler:
    Show
    \displaystyle \frac{x(x-3)}{(x+3)(x-3)}=\frac{x}{x+3}


    Try and do the last two yourself
    Offline

    2
    ReputationRep:
    1. If you times both sides by 2 you should get a normal algebra equation.

    2. If you factorize the top (common factor) and factorize the bottom (difference of two squares) then something should cancel out.

    3. Multiply both sides of the equation by the two denominators. This will cancel out the denominators on both sides and leave a normal equation for you to solve.

    4. Like number two, factorise the top and bottom but note that this time they both have common factors (there is no difference of two squares.)

    Hope this gives you a push in the right direction.
 
 
 
  • See more of what you like on The Student Room

    You can personalise what you see on TSR. Tell us a little about yourself to get started.

  • Poll
    Brussels sprouts
    Useful resources

    Make your revision easier

    Maths

    Maths Forum posting guidelines

    Not sure where to post? Read the updated guidelines here

    Equations

    How to use LaTex

    Writing equations the easy way

    Student revising

    Study habits of A* students

    Top tips from students who have already aced their exams

    Study Planner

    Create your own Study Planner

    Never miss a deadline again

    Polling station sign

    Thinking about a maths degree?

    Chat with other maths applicants

    Can you help? Study help unanswered threads

    Groups associated with this forum:

    View associated groups
  • See more of what you like on The Student Room

    You can personalise what you see on TSR. Tell us a little about yourself to get started.

  • The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

    Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

    Quick reply
    Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.