Solving Literal Equations and Formulas

Solving Literal Equations and Formulas

LT: I can rewrite and use literal equations and formulas to solve problems.

Resources

• https://www.desmos.com/scientific

• Manipulating areas: https://youtu.be/eTSVTTg_QZ4

• Manipulating perimeters: https://youtu.be/Aig1hkq3OsU

• Manipulating Temps: https://youtu.be/BR5yFOt0zao

Fill in the Blank

If a soccer pitch has an area of

 $9000\ yd^2$ and its length is  $120\ yd$ , what is its width?

 $A=lw$  

If a soccer pitch has an area of  $9000\ yd^2$ and its length is  $120\ yd$ , what is its width?

Fill in the Blank

Mr. Schmitt has  $1575ft^2$ of sod for his backyard. If the length of his back yard is $75\ ft$ , how wide can he make his lawn?

 $A=l\cdot w$  

Mr. Schmitt has  $1575\ ft^2$  of sod for his backyard. If the length of his back yard is  $75\ ft$ , how wide can he make his lawn? 

Fill in the Blank

If the perimeter of a football field is $346.6\ yd$ 

and the length is $120\ yd$ , what is the width?

 $P=2l+2w$  

If the perimeter of a football field is $346.6\ yd$ and the length is $120\ yd$ , what is the width?

Fill in the Blank

If I can average $70\ mph$ 

to cover a distance of 105 miles, how many hours will it take?

 $speed=\frac{dist.}{time}$  

If I can average $70\ mph$ 

to cover a distance of 105 miles, how many hours will it take?

Multiple Choice

When Mr. Schmitt lived in Indonesia people would tell him it is $33\degree C$ .  Mr. Schmitt doesn't know how hot that is, so tell him what the temp is in Fahrenheit.

The Formula is  $C=\frac{5}{9}\left(F-32\right)$ . 

•  $0.\overline{5}\ \degree F$  

•  $0\degree F$  

•  $91.4\degree F$  

•  $50.\overline{3}\ \degree F$  

•  $117\degree F$  

 $C=\frac{5}{9}\left(F-32\right)$  

When Mr. Schmitt lived in Indonesia people would tell him it is $33\degree C$ .  Mr. Schmitt doesn't know how hot that is, so tell him what the temp is in Fahrenheit.

Multiple Choice

If I am trying to get a center pivot irrigation system (circular) to cover a circular field with an area of roughly $3,000,000\ ft^2$ , what is the approximate radius of my field?

• 1000 ft

• 950,000 ft

• 475,000 ft

• 100,000 ft

• 13,457 ft

 $A=\pi r^2$  

If I am trying to get a center pivot irrigation system (circular) to cover a circular field with an area of roughly $3,000,000\ ft^2$ , what is the approximate radius of my field?

Fill in the Blank

In baseball the base paths are 90 feet. If a runner is stealing 2nd, how far does the catcher have to throw to get the runner out? Round to the nearest foot.

 $a^2\ +b^2=c^2$  

In baseball the base paths are 90 feet. If a runner is stealing 2nd, how far does the catcher have to throw to get the runner out? Round to the nearest foot.

Multiple Choice

A firefighter needs to know if his ladder will reach the third floor window. Her latter is 10 meters long, and she must place it 5 meters from the wall. If the 3rd story window is 9 meters high, will the ladder make it?

• Yes, the ladder will reach exactly 9 meters high.

• No, the ladder will only make it 5 meters high.

• No, the ladder will be about 0.3 meters short of the window.

• Yes, the ladder can reach 15 meters high.

• No, the ladder will be 2 meters short of the window.

 $a^2+b^2=c^2$  

A firefighter needs to know if his ladder will reach the third floor window. Her latter is 10 meters long, and she must place it 5 meters from the wall. If the 3rd story window is 9 meters high, will the ladder make it?

Fill in the Blank

A florist wants to make a bouquet when all of the flowers are the same height.

The red roses start at a height of 8 inches and grow 0.5 inches per week. The white roses start at a height of 6 inches and grow at a height of 1 inch per week.

How many weeks until she can cut the roses?

 $a\left(w\right)+b=c\left(w\right)+d$  

A florist wants to make a bouquet when all of the flowers are the same height.
The red roses start at a height of 8 inches and grow 0.5 inches per week. The white roses start at a height of 6 inches and grow at a height of 1 inch per week.
How many weeks until she can cut the roses?