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Algebra 2
Midyear Exam Review January 2015 - No Calculator Section
1. Graph: 4 x  8 y  24
2 x  3, x  1
2. Graph: y  
 x  4, x  1
4. Solve the linear system by
graphing
x  y  5

 y  2x  2
1
5. Graph: y   x  4
3
Name
3. Graph linear inequality
y  2 x  1
6. Graph: y  x 1  2
Solution: ________
Midyear Exam Review January 2015
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Algebra 2
Midyear Exam Review January 2015 - No Calculator Section
7. Sketch the graph of
1
f ( x)   x  3 and its inverse,
2
1
f ( x) .
8. Graph the system of linear
inequalities
2

y   x
3

 y  3
9. Graph: x  4
10. Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the
maximum and minimum values of the given function for this region.
1 y  4
4 y  6 x  32
2 y  x  4
f ( x , y )  6 x  3 y
(x,y)
f ( x, y )  6 x  3 y
Maximum: __________________ Minimum: __________________
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Algebra 2
Calculators permitted.
11. Solve:
3
1
n2 n7
4
2
Midyear Exam Review January 2015
12. Evaluate:
2 3  6  2
Name
13. State the Domain and Range of
the following graph.
Domain________________
Range _________________
14. Solve: 6  x  3.8
15. Solve: 7  4x  3  1
16. Solve:
6 y  3  27 or 4 y  2  26
Show your solution on the number
line.
Show your solution on the
number line.
Show your solution on the number
line.
Write your answer using interval
notation.
Write your answer using
interval notation.
Write your answer using interval
notation
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17. Solve: 3x  4  10
18. Solve:  2 x  4  12
19. Find the slope of the line
4 x  3 y  10
21. Write the equation of the line
with slope 2 that passes through
(6,1) .
22. Write the equation of the line
3
that is perpendicular to y  x  5
4
and passes though the point (6,8) .
Show your solution on the number
line.
Write your answer using interval
notation.
20. Write the equation of the line
that passes through the points
(2,8) and (5,2) in slope
intercept form.
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23. Each week, Jayna earns $32
plus $.25 for each newspaper she
delivers. Write an equation that
can be used to determine how
much she earns each week?
24. Solve the linear system by
Substitution method:
25. Solve the linear system by
Linear Combination method:
4x  3y  7
6 x  5 y  1
 y  5x  4
3 x  2 y  5
How much she would earn if she
delivers 240 newspapers?
26. Solve the linear system:
2x  3y  6
y  3 x  1
Midyear Exam Review January 2015
27. Solve the linear system:
5 x  6 y  45
10 x  12 y  76
28. A youth group went on a trip
to an amusement park traveling in
two vans. Van A took two adults
and five students for a total cost of
$77.00. Van B took two adults and
seven students for a total cost of
$95.00. Find the adult and student
prices of admission.
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29. Solve the system of equations:
5 x  y  4 z  60
2 x  4 y  3 z  12
6 x  3 y  2 z  52
30. Joe, Stacy, and Rob are shopping during a sale at a local department store. The sales items are jeans,
shorts, and shirts. The purchases made by the three people are as follows:
 Joe buys one pair of jeans, four pairs of shorts, and two shirts for $84.00.
 Stacy buys two pairs of jeans, one pair of shorts, and three shirts for $76.00.
 Rob buys one pair of jeans, two pairs of shorts, and one shirt for $52.00.
What is the cost of each item?
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31. Given: f ( x)  5 x  1 and
g ( x)  2 x  5
a. Find: f ( g (2))
b. Find: g ( f ( x))
32. Given: f ( x) 
1
Find: f ( x)
2
x 1
3
33. Given: f ( x)  x  3 and
g ( x)  x 2  5
a. Evaluate: ( f g )(3)
b. Evaluate: ( f  g )( x)
Use the graph to answer the
following questions
34. f(2)=__________
35. f(0)=__________
36. f(x)=6_________
37. f(x)= 3_________
38. Domain _____________
39. Range______________
40. Is this graph a function or
Relation? _____________
41. Explain your answer to 40.
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42. Write the equation for the following
graph.
_______________________________
43. You are ordering a pizza. You
choose one of 3 sizes of pizza, one of
3 types of crust, one of 6 types of
meat topping, and one of 5 types of
vegetable toppings. In how many
ways can you choose your pizza?
44. In some states, you
can choose a
personalized license
plate. Find how many
different personalized
license plates are
possible if the plate has
3 digits followed by 3
letters and
a. repetition is allowed?
b. repetition is not
allowed?
48. Linear Programming.
a) Graph the system of inequalities (constraints).
y  0
x  0


y  x
 y  2 x  9
b) Name the coordinates of the feasible region.
c) Find the maximum and minimum values
of the function for this region.
f ( x, y )  4.5 x  2.5 y
Midyear Exam Review January 2015
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