Secondary 1, Mathematics, Worksheet 2 – tbc, no ans

Write an algebraic expression for the following：

Three times more than 2y

Write an algebraic expression for the following：

1.2 kg less than half of x kg

Write an algebraic expression for the following：

Total value of m two-dollar notes and n five-dollar notes

Write an algebraic expression for the following：

Area of a circle, given that its perimeter is 14$\pi$r cm

Write an algebraic expression for the following：

A number is $\frac{1}{3}$ less than another number v. Find the sum of the two numbers.

Given that a = 2 and b = -3, find the value of the following expression：

a – 4$b^2$

Given that a = 2 and b = -3, find the value of the following expression：

$\frac{a+7}{9-b}$

Given that V = $\frac{22}{7}$h ( $R^2$ – $r^2$ ), calculate the positive value of R when h = 14, r = 1.5 and V = 77.

Simplify the following expression:

4a – 3b – 9a + 5b

Simplify the following expression:

2ab + ac – ab + 6bc

Simplify the following expression:

9 – 3a + a – 4

Simplify the following expression:

3a x 5b

Simplify the following expression:

$\frac{2}{5}$a x (-15ab)

Simplify the following expression:

(-$\frac{5}{14}$) x (-$\frac{21b}{a^3}$), a $\neq$ 0

Simplify the following expression:

42 + ( 12a ), a $\neq$ 0

Simplify the following expression:

26ab + ( -39 )

Simplify the following expression:

(-$\frac{1}{2}$) + (-$\frac{8}{a}$), a $\neq$ 0

Simplify the following expression:

3$\frac{1}{4}$ + ( -26a ) x $\frac{24}{25}$

Write down the simplest form for the following:

4 ( 2u – 7 )

Write down the simplest form for the following:

-3 ( v – 3u )

Write down the simplest form for the following:

$\frac{3}{4}$ ( 8u + 6v )

Write down the simplest form for the following:

2 ( 8 – 3u + v ) – 18

Write down the simplest form for the following:

– ( 3v – 4u ) – 2 ( u – 5v )

Write down the simplest form for the following:

1$\frac{1}{2}$ [ u – 2v + 3 ( u – 6v )]

Write down the simplest form for the following:

( 2u – v ) – 3 ( 4v – u ) + ( 5u – 3v )

Write down the simplest form for the following:

$\frac{1}{3}$ ( 9u – 6v ) – $\frac{3}{2}$ (8v – 2u )

Write down the simplest form for the following:

$\frac{3}{5}$ ( 10 – 5u ) – ( 2 + 6u )

Write down the simplest form for the following:

-6 [ 2 ( u – v ) + $\frac{1}{2}$ ( 4u + 6v ) ]

Find the sum of x – 2y, 4 – 3x + 4y and 7x – 6 – 5y.

Subtract 3 ( 2x – 5y + 2 ) from the sum of 4x – 6y and 2 ( -x + 3y -10 ).

Simplify the following algebraic fractions:

$\frac{5m}{4}$ + $\frac{m}{3}$

Simplify the following algebraic fractions:

$\frac{1-2m}{2}$ – $\frac{3m}{4}$

Simplify the following algebraic fractions:

$\frac{8m-5}{2}$ + $\frac{11}{2}$

Simplify the following algebraic fractions:

$\frac{m-2n}{5}$ + $\frac{n-m}{2}$

Simplify the following algebraic fractions:

$\frac{7m}{10}$ – $\frac{5-2m}{15}$ + $\frac{m-4}{20}$

Simplify the following algebraic fractions:

$\frac{3(m-4n)}{2}$ – $\frac{2m-5}{3}$

Simplify the following algebraic fractions:

3m – $\frac{2-4m}{6}$ + $\frac{2(m+2)}{4}$

Simplify the following algebraic fractions:

$\frac{ 2m – 3 + n }{3}$ – ( 7 + 2n – m )

Simplify the following algebraic fractions:

$\frac{2(-4m+7n)}{3}$ + $\frac{3(2m-n)}{4}$

Simplify the following algebraic fractions:

1$\frac{1}{2}$ + $\frac{4m-5n}{4}$ – 2 ( m + 3n )

Factorise the following:

3 – 6s

Factorise the following:

4 ( s – 2t ) + 12

Factorise the following:

( 2s – 3t ) + 5 ( 2s – 3t ) u

Factorise the following:

( s – t ) ( 3 – m ) – ( s – t ) ( m + 5 )

Factorise the following:

2 ( 3s + 4t ) ( a – 3b ) + 3 ( s – 2t ) ( a – 3b )

Factorise the following:

4 ( s – 5t ) – ( 3 + m ) ( 5t – s )

Factorise the following:

1 – 2s + 4t – 8st

Factorise the following:

3s – 6t – 5ms + 10mt

Factorise the following:

2nt – 24s – 8ns + 6t

Factorise the following:

$\frac{1}{2}$nt – $\frac{3}{2}$ns – 4t + 12s

Machine A produces x toys every 3 hours and machine B produces 4y toys every 2 hours.

Question: How many toys does machine B produce more than that by machine A in every 6 hours?

Give your answers in terms of x and y in its simplest form.

Machine A produces x toys every 3 hours and machine B produces 4y toys every 2 hours.

Question: Find their average rate of production in every hour.

Give your answers in terms of x and y in its simplest form.

A car left Town P for Town Q at an average speed of x km/h. It started the journey at 0830 at a constant speed of (x – 10) km/h for the first 3 hours. If it took 5 hours to complete the journey, find an algebraic expression for the total distance, in km, travelled by the car.

A car left Town P for Town Q at an average speed of x km/h. It started the journey at 0830 at a constant speed of (x – 10) km/h for the first 3 hours. If it took 5 hours to complete the journey, find an algebraic expression for the distance, in km. travelled by the car for the last 2 hours.

A car left Town P for Town Q at an average speed of x km/h. It started the journey at 0830 at a constant speed of (x – 10) km/h for the first 3 hours. If it took 5 hours to complete the journey, find an algebraic expression for the average speed, in km/h, of the car for the last 2 hours.