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Summative Prep 2

Last updated almost 3 years ago

4 questions

1

Question 1

1.

Soraya has 40 m of fencing to make a rectangular play area.
1. What are the unknown variables in this question?
2. Write an equation for this situation.
4. Create a table with various values of length and breadth to find different areas using the same 40 m fencing.
5. Find the dimensions of the maximum play area.
6. Use DESMOS to plot all the points from your table. Can you find the maximum from the graph?

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Question 4

4.

A number exceeds four times its reciprocal by 3. Find the Number.

Question 2

2.

Two numbers differ by 3. The sum of their reciprocals is 7/10.

1. What are the unknown variables in this question?
2. Write an equation for this situation.
4. Use either factorizing method or quadratic formula to find the 2 numbers.

Question 3

3.

A train normally travels at 240 km at a certain speed. One day, due to bad whether, the trains speed is reduced by 20km/h so that the journey takes longer.

1. Paraphrase this situation to make it easier to understand.
2. What are the variables in this case?
3. What is the equation for speed?
4. Create an equation for this situation.
5. Find the normal speed of the train.