Algebra II Honors                                                   Practice Quiz 1.1-1.3 SOLUTIONS Note:  Checklist and suggested textbook problems are posted on line

1.      Find all real solutions by factoring 1m1q1.gif                -4, 1, and 1

 

2.      Solve the equation 1m1q2.gif                                           83/6

 

3.      Solve the equation 1m1q3.gif                                                         5/7

 

 

4.      Solve the equation by factoring 1m1q4.gif                              2 and 1

 

5.      Find the term that must be added to both sides of the equation so that the equation can be solved by the method of completing the square: 1m1q5.gif

16

6.      Solve the equation by using the quadratic formula 1m1q6.gif

(-7+sqrt53)/2 and (-7-sqrt53)/2

 

7.      Brandon can paint a fence in 12 hours and Cynthia can paint the same fence in 14 hours. How long will they take to paint the fence if they work together?

84/13 hrs

8.      How much pure water must be mixed with 100 pints of 70% acidic solution to produce a mixture that is 22% acidic?

2400/11 pints

9.      Solve the equation by completing the square 1m2q10.gif

-1.5 and -4

 

10. Train A leaves a station traveling at 48 km/h. Six hours later, train B leaves the same station traveling in the same direction at 58 km/h. How long does it take train B to catch up to train A?

28.8 hrs

 

 

11. Laura is a salesperson in a retail store and earns $45 per week plus 9% of her weekly sales. If Laura made $468 one week, what were her sales that week?

$4700

 

12. Susan purchased some municipal bonds yielding 8% annually and some certificates of deposit yielding 10% annually. If Susan's investment amounts to $16,000 and the annual interest income is $1380, how much money is invested in bonds and how much money is invested in certificates of deposit?

$11000 bonds and $5000 CDs

 

13.  Solve the equation:                                              x = -2

 

  1. A coffee manufacturer wants to market a new blend of coffee that will cost $3.14 per pound by mixing Columbian Supreme that sells for $2.90 per pound and French Roast that sells for $3.50 per pound. What amounts of each coffee mixture should be blended to obtain 100 pounds of coffee?

 

 

CS: 60 pounds, FR: 40 pounds

 

15. A plane flies 900 miles with a tailwind in 3 hours. It takes the same plane 4 hours to fly the 900 miles when flying against the wind. What is the plane's speed in still air?

262.5 mph

16.  Solve the equation: 

                                                                                                                         -2

17.  A golf ball is hit from the ground and the height is modeled by  where t is time in seconds after the ball is hit.  How long is ball in the air?

                                                                                                                 11.25 Seconds

    18.  Students are designing an archery target with one ring around the bull’s eye.       The bull’s-eye has a radius of 6 inches.  The area of the outer ring should be 5 times that of the bull’s-eye.  What should be the radius of the outer circle?

                                                                                                                    14.7 in

Extra Problem:

     Carly plans to enclose a rectangular region against an existing barn and thus only needs to fence three sides.  Let x be the length which is parallel to the barn.  She has 20 yards of material to use for the fence and wants to enclose an area of 50 square yards.  How big should she construct the region? 

5 yds by 10 yds