TWO STEP EQUATIONS WITH NEGATIVE NUMBERS WORKSHEET

About "Two step equations with negative numbers worksheet"

Two step equations with negative numbers worksheet :

Worksheet on two step equations with negative numbers is much useful to the students who would like to practice solving word problems in Algebra.

Two step equations with negative numbers worksheet - Problems

1. To convert a temperature from degrees Fahrenheit to degrees Celsius, first subtract 32. Then multiply the result by 5/9. An outdoor thermometer showed a temperature of -10 °C. What was the temperature in degrees Fahrenheit ?

2. What is the temperature in degrees Fahrenheit of a freezer kept at -20 °C ?

3. An airplane flies at an altitude of 38,000 feet. As it nears the airport, the plane begins to descend at a rate of 600 feet per minute. At this rate, how many minutes will the plane take to descend to 18,800 feet ?

4. Jenny earned 92 of a possible 120 points on a test. She lost 4 points for each incorrect answer. How many incorrect answers did she have ?

Two step equations with negative numbers worksheet - Solution

Problem 1 :

To convert a temperature from degrees Fahrenheit to degrees Celsius, first subtract 32. Then multiply the result by 5/9. An outdoor thermometer showed a temperature of -10 °C. What was the temperature in degrees Fahrenheit ?

Solution :

Step 1 :

Let x represent the temperature in degrees Fahrenheit.

Write an equation.

-10 = (5/9).(x - 32)

Step 2 :

Solve the equation.

Multiply both sides by 9/5

(9/5).(-10) = (9/5).(5/9).(x - 32)

-18 = x - 32

Add 32 to both sides.

-18 + 32 = x - 32 + 32

14 = x

Hence, the temperature was 14 degrees Fahrenheit.

Problem 2 :

What is the temperature in degrees Fahrenheit of a freezer kept at -20 °C?

Solution :

Step 1 :

Let x represent the temperature in degrees Fahrenheit.

Write an equation.

-20 = (5/9).(x - 32)

Step 2 :

Solve the equation.

Multiply both sides by 9/5

(9/5).(-20) = (9/5).(5/9).(x - 32)

-36 = x - 32

Add 32 to both sides.

-36 + 32 = x - 32 + 32

-4 = x

Hence, the temperature was -4 degrees Fahrenheit.

Problem 3 :

An airplane flies at an altitude of 38,000 feet. As it nears the airport, the plane begins to descend at a rate of 600 feet per minute. At this rate, how many minutes will the plane take to descend to 18,800 feet ?

Solution :

Step 1 :

Let m represent the number of minutes. Write an equation.

38,000 - 600m = 18,800

Step 2 :

Subtract 38,000 from both sides.

(38,000 - 600m) - 38,000 = 18,800 - 38,000

-600m = -19,200

Divide both sides by -600

(-600m)/(-600) = (-19,200)/(-600)

m = 32

Hence, the plane will take 32 minutes to descend to 18,800 feet.

Problem 4 :

Jenny earned 92 of a possible 120 points on a test. She lost 4 points for each incorrect answer. How many incorrect answers did she have?

Solution :

Step 1 :

Let m represent the number of incorrect answers. Write an equation.

120 - 4m = 92

Step 2 :

Subtract 120 from both sides.

(120 - 4m) - 120 = 92 - 120

-4m = -28

Divide both sides by -4

(-4m)/(-4) = (-28)/(-4)

m = 7

Hence, Jenny had 7 incorrect answers.

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