Question Details

MAT 110 MODULE 7 CHECK YOUR UNDERSTANDING
1.	The area is given in square feet. Find the length of a side of the square. Round your answer to the nearest hundredth of a foot.

2.	A 82-ft rope is cut into two pieces so that one piece is 8 ft longer than the other. How long is each piece?

3.	Simplify by combining like terms.  

4.	Evaluate   if possible.

5.	A chemist has a 35% and a 15% acid solution. How much of each solution should be used to form 50 mL of a 31% solution?

6.	Perform the indicated multiplication. Then simplify.   

7.	The base of a ladder is 4 feet away from the wall. The top of the ladder is 5 feet from the floor. Find the length of the ladder to the nearest thousandth.

8.	Evaluate - , if possible.

9.	Solve the following system by adding.
 
 

10.	Find the perimeter of the triangle shown in the figure. Write your answer in reduced radical form.

11.	Perform the indicated multiplication. Then simplify the radical expression.   

12.	The length of a rectangle is 8 in. more than twice its width. If the perimeter of the rectangle is 64 in., find the width of the rectangle.

13.	Perform the indicated multiplication. Then simplify the radical expression.   

14.	Solve.   
15.	Peanuts sell for $3 per pound and raisins sell for $5 per pound. How much of each is needed to create 20 lb of a mixture that would sell for $3.50 per pound?

16.	Simplify. Assume all variables represent positive real numbers.   

17.	Decide whether the following is already written in simplest form. If it is not, explain what needs to be done.
 

18.	State whether   is rational or irrational.

19.	Simplify  .

20.	The time in seconds that it takes for an object to fall from rest is given by
  
in which s is the distance fallen (in feet). Find the time required for an object to fall from the ground from a building that is 1,400 feet high. Round your answer to the nearest hundredth of a second.

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