Algebra 1 – Unit 3 Assessment – F-IF.7a, F-IF.8a, F-IF.8b, F-BF.1a, F-BF.2, F-LE.1b, F-LE.1c, F-LE.5, S-ID.6c, S-ID.7, S-ID.8

1. For the parabola shown, what are the x intercepts?

2. Which option shows the correct completed square form of the function?

Two linear functions are plotted on a cartesian diagram.

Function A has equation : y = 3x – 6

Function B has coordinates (-2,6) and (1,-3).

3. Select the true statements from the options given.

4. Using x, write a function that describes this table:

1       6

2       11

3       16

4       21

n      term

0       5

1       9

2       13

3       17

5. What will the term be for n=4?

A bacterial growth in a laboratory experiment is modelled using the function G = 2t – 1,

where G is growth in mg and t is time in hours.

6. How long will it be before the growth reaches 3mg?

Give your answer in hours.

In a control experiment, a non-growing bacteria is added at a steady state, modelled by the function M = 2t + 1, where M is the mass of bacteria added in mg and t is the time in hours.

7. How much bacteria is added after 1 hour?

Give your answer in mg

The distance (m) of a motorbike as it accelerates from a starting point for the first 100m of track given by the linear relationship:

D = 9.78t

Where t is the time in seconds.

8. How long before the bike is 100m from its starting point

9. Which  two questions will tend to give quantitative answers?

10. Which rocket launch has the highest speed?

11. Which value of correlation coefficient is most accurate for the figure shown?