Math 0094

Worksheet

Test 4.

Solutions

Solve the following equations:

1. 

2. 

3. 

4. 

5. A rectangular porch with an area of 108 square feet is added to a house. The width of the porch is 6 feet less than twice its depth. What are the dimensions of the porch?

6. The rectangular garden is to be increased so that its new area is 162 square feet more than the original garden. This is done by increasing both the length and width 6 feet. The original length is 3 feet more than its original width. What are the new dimensions of the garden?

7. A ladder is leaned up against the side of a house. If the ladder reaches 12 feet up the house and the length of the ladder is 3 feet more than twice the distance the base of the ladder is from the house, how long is the ladder?

8. A ball is thrown into the air with an initial velocity of 38 ft per second from a height of five feet. Its height after t seconds can be found by .
1. How high will the ball be in 2 seconds?
2. When will the ball hit the ground?

9. Solve: Graph the solution on a number line and dexcribe it using interval notation.
1. 
2. 

10. Evaluate the following to the nearest tenth.
1. = 8
2. = 12/7
3. = 6.1
4. = not a real number
5. -= -9
11. Square the following:
1. 
12. Simplify the following. Do not evaluate.
1. 

2. 

3. 

13. Add/Subtract the following:
1. 
2. 

14. Rationalize the following:
1. 

2. 

3. 

4. 

Multiply or Divide the following:

15. 

16. 

17. since both signs are opposites, they reduce to –1.