EVALUATING REAL WORLD EXPRESSIONS WORKSHEET

1. A scientist measures the air temperature in Death Valley, California, and records 50 °C. The expression 1.8c + 32 gives the temperature in degrees Fahrenheit for a given temperature in degrees Celsius c. Find the temperature in degrees Fahrenheit that is equivalent to 50 °C.

2. The expression 6x² gives the surface area of a cube, where x is the length of one side of the cube. Find the surface area of a cube with a side length of 2 meters.

3.  The expression x³ gives the volume of a cube, where x is the length of one side of the cube. Find the volume of a cube with a side length of 2 meters.

4.  The expression 60m gives the number of seconds in m minutes. How many seconds are there in 7 minutes ?

Answers

Problem 1 : 

A scientist measures the air temperature in Death Valley, California, and records 50 °C. The expression 1.8c + 32 gives the temperature in degrees Fahrenheit for a given temperature in degrees Celsius c. Find the temperature in degrees Fahrenheit that is equivalent to 50 °C.

Solution : 

Step 1 :

Fromm the given information, we have 

c  =  50 °C

Step 2 :

Plug the value into the expression.

1.8c + 32

Plug 50 for c 

1.8(50) + 32

Multiply 

90 + 32

Add

122

Hence, 122 °F is equivalent to 50 °C.

Problem 2 : 

The expression 6x² gives the surface area of a cube, where x is the length of one side of the cube. Find the surface area of a cube with a side length of 2 meters.

Solution : 

Step 1 :

Fromm the given information, we have 

x  =  2

Step 2 :

Plug the value into the expression which represents surface area of the cube.

6x²

Plug 2 for x 

6(2)²

Evaluate exponents

6(4)

Multiply 

24

Hence, the surface area of the cube 24 m²

Problem 3 : 

The expression x³ gives the volume of a cube, where x is the length of one side of the cube. Find the volume of a cube with a side length of 2 meters.

Solution : 

Step 1 :

Fromm the given information, we have 

x  =  2

Step 2 :

Plug the value into the expression.

x³

Plug 2 for x 

(2)³

Evaluate exponents 

8

Hence, the volume of the cube 8 m³

Problem 4 : 

The expression 60m gives the number of seconds in m minutes. How many seconds are there in 7 minutes?

Solution : 

Step 1 :

Fromm the given information, we have 

m  =  7

Step 2 :

Plug the value into the expression.

60m

Plug 7 for m 

60(7)

Multiply 

420

Hence, there are 420 seconds in 7 minutes. 

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.

©All rights reserved. onlinemath4all.com

Recent Articles

  1. Digital SAT Math Problems and Solutions (Part - 215)

    Jul 15, 25 01:24 PM

    digitalsatmath297.png
    Digital SAT Math Problems and Solutions (Part - 215)

    Read More

  2. Digital SAT Math Problems and Solutions (Part - 214)

    Jul 14, 25 08:54 PM

    digitalsatmath294.png
    Digital SAT Math Problems and Solutions (Part - 214)

    Read More

  3. Digital SAT Math Problems and Solutions (Part - 213)

    Jul 13, 25 09:51 AM

    digitalsatmath292.png
    Digital SAT Math Problems and Solutions (Part - 213)

    Read More