Scribd
Upload
31 views1 page

Algebra Appli 1

The document consists of mathematical problems involving the sale of water bottles and calculations related to a trapezium and a right-angled triangle. It includes questions on determining the number of bottles sold, forming and solving quadratic equations, and calculating areas. The problems require algebraic manipulation and understanding of geometric properties.

Uploaded by

Hassan Hussain
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
31 views1 page

Algebra Appli 1

The document consists of mathematical problems involving the sale of water bottles and calculations related to a trapezium and a right-angled triangle. It includes questions on determining the number of bottles sold, forming and solving quadratic equations, and calculating areas. The problems require algebraic manipulation and understanding of geometric properties.

Uploaded by

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

1. (i) On Monday a shop receives $60.30 by selling bottles of water at 45 cents each.

How many bottles are sold? [1]


(ii) On Tuesday the shop receives x cents by selling bottles of water at 45 cents each.
In terms of x, how many bottles are sold? [1]
(iii) On Wednesday the shop receives (x – 75) cents by selling bottles of water at 48 cents each.
In terms of x, how many bottles are sold? [1]
(iv) The number of bottles sold on Tuesday was 7 more than the number of bottles sold on
Wednesday. Write down an equation in x and solve your equation. [4]

2.

The diagram shows a trapezium.


Two of its angles are 90o.
The lengths of the sides are given in terms of x.
The perimeter is 62 units.
(i) Write down a quadratic equation in x to show this information. Simplify your equation. [2]
(ii) Solve your quadratic equation. [2]
(iii) Write down the only possible value of x. [1]
(iv) Calculate the area of the trapezium. [2]

The diagram shows a right-angled triangle.


The lengths of the sides are given in terms of y.
(i) Show that 2y2 – 8y – 3 = 0. [3]
(ii) Solve the equation 2y2 – 8y – 3 = 0, giving your answers to 2 decimal places. [4]
(iii) Calculate the area of the triangle. [2]

You might also like