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Formal Practice: Patterns and Equations

Last updated over 2 years ago
14 questions
Simple and Familiar
1

Which of the following are constants

1

Use inversion to find the value of x in the following equation:
x + 12 = 25

1

How many terms are there in the following expression:

Complex and Familiar
1

What is the co-efficient of m in the term

1
Fill in the blanks with the next few terms of the sequence:
0, 1, 1, 2, 3, 5, 8, _______ ,_______ ,_______
1

Match the following

Draggable itemCorresponding Item
Like Terms
Unlike Terms
Term
Expression
9m + 3 = 4
Equation
Challenging and Familiar
1

Find the rule for the following sequence with respect to the previous term
1, 3, 5, 7, 9...
Write the rule in English and using Math language.

1

Find the rule for the following sequence with respect to the term position. Draw a table to show the term and term position
2, 5, 8, 11, 14...
Write the rule in English and use Math language.

Challenging and Unfamiliar
When a thunder and lightning storm approaches, you can calculate approximately how far away the storm is (in miles) by counting the time, in seconds between seeing the lightning and then hearing the thunder.


The table below shows the relationship between the seconds counted and how far away the storm is.

1

How can you calculate how far away the storm is after counting the seconds between seeing the lightning and hearing the thunder?

1

If the time is represented by the letter t and the distance by the letter d, write the general rule that will help find the distance if the time is known.

According to various sources and studies, you can estimate the outside temperature by counting the chirps of a snowy tree cricket!


One study found that when the temperature is 70 degrees Fahrenheit, the cricket chirps 30 times in each time period of 14 seconds. When the temperature is 80 degrees, the cricket chirps 40 times in the same time period. And when the temperature is 85 degrees it chirps 45 times.
1

Set up a table with two columns, one for temperature (in Fahrenheit) and the other for the number of chirps in 14 seconds. Predict the pattern and fill in at least 3 additional values, (other than the ones already given to you.)

1

If you are 10 miles away from the storm, how many seconds would you expect to count between seeing the lightning and hearing the thunder?

1

If the temperature is represnted as T and the number of chirps per 14 seconds as n, then write down the general rule that shows the relationship between the two.

1

Is this a linear pattern? Why do you think so?