Algebra IB                                                                   Name_____________________________________
Test 3.8-4.3

Fill in the chart, write the equation and solve.

1.  Two trucks start toward each other at the same time from towns 500 km apart.  One truck traveled at a rate of 65 km/h and the other at 60 km/hr.   After how many hours did they meet?

Equation                                                           Solution:

2.  A train left a station and traveled south at 100 km/h.  Two hours later another train left the station and traveled in the same direction at 110 km/h.  How many hours had the first train traveled when the second train overtook it?

Equation                                                           Solution:

3.  Ike wants to mix candy costing $.90 per kg with candy costing $1.30.  He wants to make a 7 kg box that will cost $7.50.  How many kg of each should he use?

Equation                                                           Solution:

4.  How many liters of water must be added to 26 liters of a 15% antifreeze solution to dilute it to a 12% solution?

Equation                                                           Solution:

5.  A solution of 40 milliliters is 50% acid.  How many milliliters of water must be added to dilute it to a 20% solution?

Equation                                                           Solution:

Solve each equation for the indicated variable.
6.     for g                                                      7.  

 

Graph the relation and state its domain and range.

8. 

9.  Create a mapping for the relation in number 8.

10.   In which quadrant does the point (-3,8) lie?

11.  Solve the equation  , if the domain is

12.  If the range for   is , find the domain.

13.  If a triangle with vertices of is reflected over the x axis, what are the coordinates of the transformed triangle?

14.  Describe what each of the following transformation does?

Reflection_________________________________________________________________

Rotation___________________________________________________________________
Translation_________________________________________________________________

Dilation___________________________________________________________________

Write each relation shown in the table, mapping or graph as a set of ordered pairs, and then write its inverse.

15.       x     y                                                    16.

17.