Unit 2

Expressions

100

Find the value of this expression:
2x² when x = 6

72

200

Write an expression for:

one add one half of x

1+ 1/2 x

300

Ali thinks of a number x. Write an expression for the number he gets when he:

Adds 3 to one-quarter of x, then multiplies by 8.

8(x/4 + 3)

400

A rectangle has a length of (v+3) cm and a width of (8w) cm. Write an expression for the perimeter of the rectangle and simplify it.

16w + 2v + 6 cm

500

Write any values of x that make the pair of expressions equal:

3x+1 and 3x²+1

0 , 1

Formulae

100

d = 16t + 38

Work out the value of d when t=2

d = 70

200

v = u + 10t

Find v, when u = 8 and t = 15

v = 158

300

y = 2x+t

Make x the subject of the formula.

x = y-t/2

400

Write the formula for the number of seconds in any number of minutes.

s = 60m

500

This formula is used to calculate distance traveled by an object:      s = ut + 1/2 at²
Work out the distance when:
u = 30, a = -4, and t=10

s = 100

Expanding Brackets and Factorising

100

Expand:

3m(m+3x)

3m² + 9mx

200

Factorise:
30w² - 15tw

15w(2w - t)

300

7(8d+9) - 8(d+7)

48d+7

400

5b(b + 3a) + a(4a + 6b)

5b²+21ab+4a²

500

Expand and simplify:

f(3f+4g)-5f(6f-7g)

39fg - 27 f² = f(39g - 27f)

Equations

100

Solve:
3x+2=26

x=8

200

Solve:
7x+2 = 2x+27

x = 5

300

Solve:
2(x+6) = 9(x-1)

x = 3

400

My friend is 16 years old. My Gran is x years old. One quarter of my Gran's age minus 8 is the same as my friend's age. How old is my Gran?

x = 96

500

Solve:

4(2/3m - 3) = 20

m = 12

Inequalities

100

Write this as an inequality:
a is greater than or equal to 4 and less than 9.

4<= a <9

200

y<2 is equivalent to y-3<__

-1

300

Write this pair of inequalities as one inequality:

x>7 and x<=25

7<x<=25

400

What is the smallest and largest integer that y could be?

10.6<= y < 13.4

11 and 13

500

What is the smallest and largest integer that n could be?

-7 3/8 < n <= -3 7/9

-7 and -4