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Weather Station Expression Notes

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Weather Station Expression Notes

Translate temperature and rainfall records into algebraic expressions.

Translate the Records

Choose or complete each expression. Letters represent numbers, and each measurement uses the units stated in its question. Do not evaluate the expressions.

1.
The morning temperature is x degrees Celsius. By noon, it rises 7 degrees. Which expression represents the noon temperature in degrees Celsius?
Question 1 options
2.
The afternoon temperature is x degrees Celsius. The evening temperature is 4 degrees lower. Which expression represents the evening temperature?
Question 2 options
3.
On Monday, the station records n millimeters of rainfall. On Tuesday, it records three times Monday's amount. Complete the expression for Tuesday's rainfall.

× n millimeters

4.
A storm produces p millimeters of rain over 6 hours. Which expression represents the average rainfall per hour in millimeters?
Question 4 options
5.
Let x represent a temperature in degrees Celsius. Match each description to its expression.

Combine the Operations

Pay attention to which operation happens first. Use parentheses when a whole sum or difference must be treated as one quantity.

6.
The station records n millimeters of rain on Saturday. Sunday's rainfall is 2 millimeters more than twice Saturday's rainfall. Which expression represents Sunday's rainfall?
Question 6 options
7.
A rainfall record contains n millimeters for one day and 8 millimeters for another day. Which expression represents half of the combined rainfall?
Question 7 options
8.
An older rain sensor reports p millimeters, but its reading is 1.5 millimeters too high. The corrected amount is then divided by 3 to find the average rainfall over three hours. Complete the expression.

(p − ) ÷ millimeters per hour

9.
The daily high is x degrees Celsius, and the daily low is n degrees Celsius. Which expression represents the daily high minus the daily low?
Question 9 options
10.
Let n represent a rainfall amount in millimeters. Match each calculation note to its expression.

Model and Check

Use the meaning of each variable to represent the situation. Explain the operation order in the final question.

11.
Asha compares two rain gauges. Gauge A records n millimeters. Gauge B records 0.6 millimeter less than Gauge A. Which expression represents the sum of both readings?
Question 11 options
12.
The station has recorded p millimeters of rain this month. It then records 2.5 millimeters on each of four more days. Complete an expression for the new monthly total. Write the number of days in the first blank and the daily rainfall in the second blank.

p + × millimeters

13.
The station records 24 millimeters of rain over n hours. Luis writes n ÷ 24 for the average rainfall per hour. Which expression should replace his expression?
Question 13 options
14.
The daily high is x degrees Celsius. For “3 degrees less than twice the daily high,” Maya writes 2x − 3 and Luis writes 2(x − 3). Which expression is correct? Explain what the other expression represents.