Simplifying algebraic fractions practice exercise 4

Course: Grade 8 mathematics - Algebra - Algebraic expressions

Quiz Description

Quiz Questions (41 questions)

Question 1
A boda boda covers \(15p + 30\) km in \(5p + 10\) hours. Find the speed in km/h in simplest form.
Question 2
A boda boda covers \(15p + 30\) km in \(5p + 10\) hours. Find the speed in km/h in simplest form. (1 mark)
Question 3
A boda boda covers \(15p + 30\) km in \(5p + 10\) hours. Find the speed in km/h in simplest form. (1 mark)
Question 4
A boda boda covers \(15p + 30\) km in \(5p + 10\) hours. Find the speed in km/h in simplest form. (1 mark)
Question 5
A boda boda covers \(15p + 30\) km in \(5p + 10\) hours. Find the speed in km/h in simplest form. (1 mark)
Question 6
A borehole pump delivers \(6m^2 - 12m\) litres in \(3m - 6\) minutes. Find the average flow rate in litres per minute.
Question 7
A borehole pump delivers \(6m^2 - 12m\) litres in \(3m - 6\) minutes. Find the average flow rate in litres per minute. (1 mark)
Question 8
A borehole pump delivers \(6m^2 - 12m\) litres in \(3m - 6\) minutes. Find the average flow rate in litres per minute. (1 mark)
Question 9
A borehole pump delivers \(6m^2 - 12m\) litres in \(3m - 6\) minutes. Find the average flow rate in litres per minute. (1 mark)
Question 10
A casual worker earns \(18k + 36\) shillings after working \(6k + 12\) hours. Find the wage per hour in simplest form.
Question 11
A casual worker earns \(18k + 36\) shillings after working \(6k + 12\) hours. Find the wage per hour in simplest form. (1 mark)
Question 12
A casual worker earns \(18k + 36\) shillings after working \(6k + 12\) hours. Find the wage per hour in simplest form. (1 mark)
Question 13
A casual worker earns \(18k + 36\) shillings after working \(6k + 12\) hours. Find the wage per hour in simplest form. (1 mark)
Question 14
A matatu uses \(9y + 18\) litres to cover \(3y + 6\) km. Find fuel used per kilometre in simplest form.
Question 15
A matatu uses \(9y + 18\) litres to cover \(3y + 6\) km. Find fuel used per kilometre in simplest form. (1 mark)
Question 16
A matatu uses \(9y + 18\) litres to cover \(3y + 6\) km. Find fuel used per kilometre in simplest form. (1 mark)
Question 17
A matatu uses \(9y + 18\) litres to cover \(3y + 6\) km. Find fuel used per kilometre in simplest form. (1 mark)
Question 18
A rectangular field has an area of \(20r^2 – 40r\) m². It is to be divided equally among \(4r – 8\) people. Find the area each person gets in simplest form.
Question 19
A rectangular field has an area of \(20r^2 – 40r\) m². It is to be divided equally among \(4r – 8\) people. Find the area each person gets in simplest form. (1 mark)
Question 20
A rectangular field has an area of \(20r^2 – 40r\) m². It is to be divided equally among \(4r – 8\) people. Find the area each person gets in simplest form. (1 mark)
Question 21
A sack of potatoes weighing \(8q + 16\) kg costs \(4q + 8\) shillings. Find the price per kilogram in simplest form.
Question 22
A sack of potatoes weighing \(8q + 16\) kg costs \(4q + 8\) shillings. Find the price per kilogram in simplest form. (1 mark)
Question 23
A sack of potatoes weighing \(8q + 16\) kg costs \(4q + 8\) shillings. Find the price per kilogram in simplest form. (1 mark)
Question 24
A sack of potatoes weighing \(8q + 16\) kg costs \(4q + 8\) shillings. Find the price per kilogram in simplest form. (1 mark)
Question 25
A sack of potatoes weighing \(8q + 16\) kg costs \(4q + 8\) shillings. Find the price per kilogram in simplest form. (1 mark)
Question 26
A shop packs \(25t^2 - 50t\) sweets equally into \(5t - 10\) boxes. How many sweets go into each box in simplest form?
Question 27
A shop packs \(25t^2 - 50t\) sweets equally into \(5t - 10\) boxes. How many sweets go into each box in simplest form? (1 mark)
Question 28
A shop packs \(25t^2 - 50t\) sweets equally into \(5t - 10\) boxes. How many sweets go into each box in simplest form? (1 mark)
Question 29
A shop packs \(25t^2 - 50t\) sweets equally into \(5t - 10\) boxes. How many sweets go into each box in simplest form? (1 mark)
Question 30
A workshop produces \(10abc\) brackets in \(5a\) hours. What is the average production rate (brackets per hour)?
Question 31
A workshop produces \(10abc\) brackets in \(5a\) hours. What is the average production rate (brackets per hour)? (1 mark)
Question 32
A workshop produces \(10abc\) brackets in \(5a\) hours. What is the average production rate (brackets per hour)? (1 mark)
Question 33
A workshop produces \(10abc\) brackets in \(5a\) hours. What is the average production rate (brackets per hour)? (1 mark)
Question 34
A workshop produces \(10abc\) brackets in \(5a\) hours. What is the average production rate (brackets per hour)? (1 mark)
Question 35
Elijah cycles from Eldoret to a market. The distance is \(4x + 12\) km and he rides at a speed of \(2x + 6\) km/h. Find the time taken (in hours) in simplest form.
Question 36
Elijah cycles from Eldoret to a market. The distance is \(4x + 12\) km and he rides at a speed of \(2x + 6\) km/h. Find the time taken (in hours) in simplest form. (1 mark)
Question 37
Elijah cycles from Eldoret to a market. The distance is \(4x + 12\) km and he rides at a speed of \(2x + 6\) km/h. Find the time taken (in hours) in simplest form. (1 mark)
Question 38
Elijah cycles from Eldoret to a market. The distance is \(4x + 12\) km and he rides at a speed of \(2x + 6\) km/h. Find the time taken (in hours) in simplest form. (1 mark)
Question 39
Nyamira Primary has \(12x + 24\) shillings to buy footballs. Each ball costs \(3x + 6\) shillings. How many footballs can the school buy?
Question 40
Nyamira Primary has \(12x + 24\) shillings to buy footballs. Each ball costs \(3x + 6\) shillings. How many footballs can the school buy? (1 mark)
Question 41
Nyamira Primary has \(12x + 24\) shillings to buy footballs. Each ball costs \(3x + 6\) shillings. How many footballs can the school buy? (1 mark)

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