A math test on linear functions in the third grade (3rd) is always essential. In fact, this assessment allows you to consider your progress in mathematics on this chapter. In addition, this proctored assignment is intended for teachers and ninth graders who want to review the chapter on linear functions. This chapter requires some concentration and mastery of the properties of this course. Thus, before starting any exercise, you must read the entire statement. This will help you save time by starting with the easiest exercise. Then, take the time it takes to process the exercises properly. You can also use the materials that are allowed during the inspection. Once you have understood the course on linear functions in 3rd grade, it is important to apply it by doing the exercises at home.
If you don’t understand something, you can ask your teacher for clarification. At the end of the test, take a few minutes to quickly review your answers and do a general check.
Problem:
The dial of a speedometer has a needle moving in front of a circular sector of 210 ° angle in the center.
The speed v is proportional to the angle x (in degrees) described by the needle.
When the angle is 210°, the speed is 240 km/h .
- Copy and complete the following table:
| x ( in degrees) | ….. | 35 | …. |
| v(x) (in km/h) | 240 | …. | 110 |
- Show v as a function of x (take 1 cm for 35° and 1 cm for 40 km/h on the axes).
- Express v as a linear function of x .
- What is the exact and approximate value (to 10-2 ) of the directing coefficient of this linear function?
- Calculate v(40) and translate this result into a sentence.
- Calculate the antecedent of 260.
- Determine graphically the image of 140 and the antecedent of 180 .
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