Applications for Solving Equations

Applications for Solving Equations

Linear Equations are used to solve real life problems

Conversions, Perimeter, Measures, Physics, Business, etc...

Converting between different measures is a great example for the need to solve equations.

Multiple Choice

The formula to convert Celsius to Fahrenheit is F = 1.8C + 32. Which equation would be used to find the degrees in Celcius when the temperature is 68 degrees fahrenheit?

• F = 1.8(68) + 32

• 68 = 1.8C + 32

Multiple Choice

Identify the first step when solving:

68 = 1.8C + 32

• add 32

• subtract 32

• divide by 1.8

• subtract 68

Fill in the Blanks

Now you are left with 36 = 1.8C

Solve for C: 36 = 1.8C

Physics formulas are always fun! Racing "cars", dropping objects, throwing objects, etc...

Multiple Choice

Speed of falling objects can be determined using v = gt where which we can rewrite as v = 32t since g is the acceleration due to gravity and is 32 ft/sec2

Which equation would be used to determine the time it takes a falling ball to reach a velocity of 176 ft/sec

• 176 = 32t

• v = 32(176)

Fill in the Blanks

Solve 176 = 32t

Multiple Choice

Impulse can be represented by

 $\Delta p\ =\ m\left(v_f\ -\ v_i\right)$ 

What is the first step needed to find the final velocity of an object given the following equation for impulse:

100 = 25(v - 10) 

• add 10

• subtract 25

• distribute 25

Fill in the Blanks

Solve the resulting equation to find the final velocity:

100 = 25v - 250

Perimeter

Perimeter is the sum of all sides. Find the SIMPLIFIED EXPRESSION that represents the area of the hexagon to the right

Multiple Choice

How do you find the sum of all sides

• add all the sides together

• add some of the sides

• subtract all of the sides

Fill in the Blanks

Find the perimeter of the hexagon

(Do not use spaces in your answer)

The garden to the right has a perimeter of 102 feet. There perimeter equation is:

102 = 4x + 10

Open Ended

Where did 102 = 4x + 10 come from?

Fill in the Blanks

Solve the perimeter equation for x:

102 = 4x + 10