Monday, December 7, 2015

alg I final review guide

Your final will be 2 parts:  1 MC and 1 free response.  There are 10 MC and 7 free reponse.   It counts as 15% of your total grade.
Most of it is from the last unit, though there is one 1-variable equation for you to solve and one "age" problem (both from unit 2).

The concepts are as follows:
writing a linear equation based on information - 3
finding a solution to a system - 6
verifying a point is on a graph - 2
understanding the slopes of parallel lines - 1
collinearity - 1 (see pg. 344)
scatterplot - 1  (see pg. 409-410)
line of best fit - 1
linear inequality - 1

Here are some problems you can work on:


1.  Write the equation that describes each line.

a)    slope = 4;  y-intercept = – 1                                                                                                                                  

c)  slope =  –1/2  ; ( 14, – 8 )                                              d)   ( 2, 6 ) & ( – 1, – 3 )  


2. Write an equation in slope – intercept form for the line that passes through ( 3, 4 ) and is
      parallel to y = – 2x + 3. 

3.  Solve each system.   a) x+y=2      2x-y=7

                           b)   y=x-4     y = -x+2

                           c)  x= 1-6y     2x - 3y = 32


4.  Christina has some quarters and dimes. There are 40 coins altogether and the
      total value of the coins is $6.40. How many quarters and how many dimes does
      she have?



5.  Solve each equation.

a)  12x  –  3  +  x  =  23                                             b)         – 8  =   4 (  x  +  2  ) 



c)    3/4 ( 8x – 4 ) + 3 = 5


6.  1.     Mr. Russell loves his chili night.  He makes 2 kinds.  The first has 3 cans of beans and 2 cans of tomatoes, which costs $10.50.  The second has 1 can of beans and 4 cans of tomatoes but costs $14.50.  How much does each can of produce cost?


7  Show all solutions to:  y is "less than" 2x-3


8.  Write an equation for a vertical line.


9.   Tell whether the ordered pair is a solution of the given system. Show your work.

    x + 3y = 6 and   4x  –  5y  =  7     point (3,1)


10.  Write an equation in slope – intercept form for the line that passes through ( 3, 4 ) and is
      parallel to y = – 2x + 3. 


                                      
                                                        

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