Scribd
Upload
306 views8 pages

Algebraic Fractions

This document contains instructions and 16 questions for a GCSE algebra fractions test. Students are asked to simplify algebraic fractions, write expressions in different forms, solve equations involving algebraic fractions, and find possible values of x from given proportions. The questions are worth between 2 to 4 marks each and increase in difficulty through the test. Students are advised to read questions carefully, show their working, check their answers, and pace themselves during the test.

Uploaded by

Bruno Pires
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
306 views8 pages

Algebraic Fractions

This document contains instructions and 16 questions for a GCSE algebra fractions test. Students are asked to simplify algebraic fractions, write expressions in different forms, solve equations involving algebraic fractions, and find possible values of x from given proportions. The questions are worth between 2 to 4 marks each and increase in difficulty through the test. Students are advised to read questions carefully, show their working, check their answers, and pace themselves during the test.

Uploaded by

Bruno Pires
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
You are on page 1/ 8

Name: ___________________________

GCSE (1 – 9)

Algebraic Fractions

Instructions

• Use black ink or ball-point pen.


• Answer all questions.
• Answer the questions in the spaces provided
– there may be more space than you need.
• Diagrams are NOT accurately drawn, unless otherwise indicated.
• You must show all your working out.

Information

• The marks for each question are shown in brackets


– use this as a guide as to how much time to spend on each question.

Advice

• Read each question carefully before you start to answer it.


• Keep an eye on the time.
• Try to answer every question.
• Check your answers if you have time at the end

mathsgenie.co.uk
1 Simplify fully x2 + 5 x
x 2 + 7 x + 10

…..........................

(Total for question 1 is 2 marks)

2 Simplify fully x 2 − x − 12
x 2 − 9 x + 20

…..........................

(Total for question 2 is 2 marks)


2
3 Simplify fully 3 x + 9 x
x2 − 9

…..........................

(Total for question 3 is 2 marks)

x+4
4 Simplify fully
x 2 − 16

…..........................

(Total for question 4 is 2 marks)


5 Write 3 x 2 + 11 x − 4 in the form ax + b where a, b, and c are integers.
x2 + 3 x − 4 x+c

…..........................

(Total for question 5 is 3 marks)

6 Write x 2 + 7 x − 18 in the form x + a where a, b, and c are integers.


2 x 2 −x − 6 bx + c

…..........................

(Total for question 6 is 3 marks)


3x +6 2 x 2 + 9 x + 10
7 Simplify fully ÷
x−4 x2 − 4 x

…..........................

(Total for question 7 is 3 marks)

2x−2 x2 − 4 x + 3
8 Simplify fully ÷
x +5 2 x 2 + 13 x + 15

…..........................

(Total for question 8 is 3 marks)


8 3
9 Solve + =1
x +3 x +8

…....................................................

(Total for question 9 is 4 marks)

8 6
10 Solve + =2
3x−2 x +1

…....................................................

(Total for question 10 is 4 marks)


2 3
11 Solve + =1
5− x x +7

…....................................................

(Total for question 11 is 4 marks)

7 4
12 Solve − =1
x + 1 3x − 2

…....................................................

(Total for question 12 is 4 marks)


13 Given that
2x + 1 : x + 2 = x + 8 : 3x – 4

Find the possible values of x.

…....................................................

(Total for question 13 is 4 marks)

14 Given that
x – 1 : 2x – 3 = x + 2 : 3x – 2

Find the possible values of x.

…....................................................

(Total for question 14 is 4 marks)


15 Given that
x + 9 : 5x – 1 = x + 7 : 2x – 3

Find the possible values of x.

..........................…..........................

(Total for question 15 is 4 marks)

16 Given that
5 – 3x : 9 – x = 3x + 7 : 4 – x

Find the possible values of x.

..........................…..........................

(Total for question 16 is 4 marks)

You might also like