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Formal Formative 1: Inequalities and Absolute Values

Last updated almost 2 years ago

11 questions

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Simple and Familiar (1 - 2)

Question 1

1.

Plot the following inequality on a number line
where x is a rational number

Question 2

2.

What values of x make sense in this equation? Plot your answer on a number line.

Question 3

3.

What is the inequality that describes the inequality shown below:

Complex and Familiar (3 - 4)

Question 4

4.

Solve the following inequality:

Represent as a set

Question 5

5.

What inequality does the following number line represent?

Question 6

6.

Find the value of x:

Challenging and Familiar (5 - 6)

Question 7

7.

Solve the following inequality:

Plot your answer on a number line.

Question 8

8.

Plot the following inequality on the graph sheet provided to you:

Attach the image of the graph here.

Question 9

9.

Nine added to one-seventh of the absolute value of half a number is eight. What is the number?

Challenging and Unfamiliar (7 - 8)

Question 10

10.

While conducting market research a toothpaste company finds that the business is not profitable once the cost crosses the Rs 150 mark. However, it is also impossible for them to go below Rs 40 because of the cost of production.
a. Create an inequality to show the situation described here.
b. Since paisa coins are widely out of circulation, they have decided to leave the price as whole numbers. How can you represent the situation using sets?

Question 11

11.

A combined purchase of The Lord of the Rings and the Harry Potter series cost less than $200. The Harry Potter alone could cost up to $70.
a. Use DESMOS to plot the two inequalities
b. Write down 3 possible values for either set of books.