Y9 Online Assessment Final Revision

Given that 2x = 9 - (5x - 12),

find the value of x.

• 3

• -1

• 1

Answer explanation

Tags

solving linear equations

25x² - 20x + 4 =

• (5x - 4)(5x + 1)

• (5x + 2)²

• (5x - 2)(5x + 2)

• (5x - 2)²

Answer explanation

Tags

Factorisation by cross method

5t + 10 - st - 2s =

• (t + 2)(5 - s)

• (t - 2)(s - 5)

• (5 - st)(5 - s)

• (5 - s)(t - 2)

Answer explanation

Tags

factorisation by grouping

6(x - 3y) - 4(3x - 5y) =

• 18x + 38y

• 6x - 2y

• -6x + 38y

• -6x + 2y

Answer explanation

Tags

expansion of algebraic expression

simplify algebraic expressions

Factorise 32x² - 18 completely.

• (4x + 3)(4x - 3)

• 2(4x + 3)(4x - 3)

• 2(4x + 3)²

• 2(16x + 9)(16x - 9)

Answer explanation

Tags

factorisation by HCF

factorisation by DOTS

• m = 8

• m = -8

• m = 4

• m = -4

Answer explanation

Tags

solving linear equations

The age of Mr Sham is thrice the age of his youngest son.

Their total age is 80 years.

Find the age of his youngest son.

• 20 years

• 25 years

• 35 years

• 60 years

Answer explanation

For the equation

5 - 9x + x² = 0,

which of the following gives the solution using quadratic formula?

Answer explanation

Tags

quadratic formula

Solve the simultaneous linear equations.

7a - 3b = 15

a + 2b = 7

• a = -3, b = -2

• a = 3, b = 2

Answer explanation

Tags

simultaneous linear equations

One book and four pens cost $30.

With the same amount of money, I can buy two books and two pens.

How much does each pen cost?

• $5

• $7

• $8

• $10

Answer explanation

Tags

simultaneous linear equations