# Graph the linear inequality by jennyyingdi

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```									Alg_Problem Set 7-16 (Chapter 7 Review #3)                                              Name _____________________________

Graph the Systems of Linear Inequalities.

y  2x  4                                              y  2x  4                                  y  2x  3
1)                                                 2)                                              3)
 3x  2 y  6                                          2x  y  4                                  y5

y                                                  y                                                      y
6                                                  6                                                      6

4                                                  4                                                      4

2                                                  2                                                      2

–6   –4       –2                2    4    6   x         –6     –4   –2            2    4   6   x        –6   –4        –2                 2        4       6       x

–2                                                    –2                                                 –2

–4                                                    –4                                                 –4

–6                                                    –6                                                 –6

Write a System of Linear Inequalities shown in each graph.

4) ___________________                               5) ____________________                          6) ______________________

___________________                                    ____________________                             ______________________
y                                                  y                                                                y
6                                                  6                                                                6

4                                                  4                                                                4

2                                                  2                                                                2

–6   –4       –2                2    4    6   x         –6     –4   –2            2    4   6   x                  –6        –4       –2                2       4       6   x

–2                                                    –2                                                               –2

–4                                                    –4                                                               –4

–6                                                    –6                                                               –6

7) You can work at most 20 hours per week. You need to earn at least \$90 to cover your weekly expenses. Your
dog-walking job pays \$9 per hour and your job as a car wash attendant pays \$10 per hour. Write a system of
linear inequalities to model the situation and graph.
HrsDog

24

20

16

12

8

4

4        8       12   16   20   HrsCar
Alg_Problem Set 7-16 (Chapter 7 Review #3)                  Name _____________________________

8) The available parking area of a parking lot is 600 square meters. A car requires 6 square meters of space and
a bus requires 30 square meters of space. The attendant can handle no more than 60 vehicles. Write a system of
inequalities to represent the amount of space available and the total number of vehicles allowed. Graph the
system.

#Cars

120

100

80

60

40

20

20     40   60   80 100   #Buses

9) Mary is selling bracelets and earrings to make money for spring break. The bracelets cost \$2 and earrings cost
\$3. She needs to make at least \$450 and knows that she will sell more than 50 bracelets. Write a system of linear
inequalities and graph the inequalities.
# Ear.

300

250

200

150

100

50

50 100 150 200 250         # Br.

10) A club is selling hats and jackets as a fundraiser. They have to stay within a budget of \$900. They can order
up to 200 items. They must buy at least as many hats as they buy jackets. Each hat costs \$3 and each ribbon costs
\$4.

11) How many gallons of 20% alcohol solution and 50% alcohol solution must be mixed to get 9 gallons of 30%
alcohol solution?
Alg_Problem Set 7-16 (Chapter 7 Review #3)                       Name _____________________________

x  y  10
3x  4 y  24
12) Graph the system of linear inequalities.
x0
y0

12

10

8

6

4

2

2      4    6    8   10   12

============================================================================
EXTRA PRACTICE PROBLEMS

EP1) A farmer has 90 acres available for planting millet and alfalfa. Seed costs \$4 per acre for millet and \$6 per
acre for alfalfa. Labor costs are \$20 per acre for millet and \$10 per acre for alfalfa. The expected income is \$110
per acre for millet and \$150 per acre for alfalfa. The farmer intends to spend no more than \$480 for seed and
\$1400 for labor. Set up a system of linear inequalities and graph.

Alfalfa

120

100

80

60

40

20

20     40   60   80 100    Millet

EP2) Write a system of linear inequalities that defines a triangle with vertices at (0, 0), (–5, 0) and (–2, 5).
Alg_Problem Set 7-16 (Chapter 7 Review #3)                                             Name _____________________________

====================================================================================
1)                                                      2)                                                      3)
y                                                    y                                                        y
6
6

4                                                   4
4

2                                                   2                                                         2

–4   –2               2        4         x          –6   –4    –2            2   4   6   x
–6     –4     –2                2    4       6 x
–2                                                        –2
–2

–4
–4                                                  –4

–6
–6

1
yx 1
y3                                                    3                                            x  1
4)                                                      5)                                       6)
y  4x  1                                             4                                            y  3x  3
y x2
3

7) c = # hours at car wash                                                             8) b = # busses
d = # hours dog walking                                                                c = # cars
c  d  20                                                                             30b  6c  600
10c  9d  90                                                                          b  c  60
Dog ( H)
20
#Cars
18
16                                                                       120
14
12                                                                       100
10
80
8
6
60
4
2                                                                       40

2     4    6   8 10 12 14 16   Car ( H)                            20

20       40    60        80 100     #Buses
Alg_Problem Set 7-16 (Chapter 7 Review #3)         Name _____________________________

9) b = # bracelets                                 10) h = # hats
e = # earrings                                      j = # jackets
h  j  200
b  50
3h  4 j  900
2b  3e  450
h j

# Ear.                                     #Jack.

300                                        300

250                                        250

200                                        200

150                                        150

100                                        100

50                                          50

50 100 150 200 250       # Br.             50 100 150 200 250   #Hats

11) a = # gallons of 20%
b = # gallons of 50%
a+b=9
.2a + .5b = 9(.3)
6 gallons of 20%
3 gallons of 50%

12)

12

10

8

6

4

2

2     4      6   8   10   12
Alg_Problem Set 7-16 (Chapter 7 Review #3)                Name _____________________________

y0
5    25
EP1) m = # acres of millet planted                  EP2) y  x
3    3
5
y x
2
a = # acres of alfalfa planted
m  a  90
4m  6a  480
20 m  10 a  1400
Alfalfa

120

100

80

60

40

20

20     40   60   80 100   Millet

```
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