MIDTERM MINI REVIEW #10
SYSTEMS OF INEQUALITIES, LINEAR PROGRAMMING, INVERSE VARIATION
Match the graphs with the appropriate systems of inequalities.
A)
B)
y
y
–4
–2
4
4
2
2
O
2
4
–4
x
–2
O
2
x
4
–2
–2
–4
–4
C)
D)
y
–4
–2
y
4
4
2
2
O
2
4
x
–4
–2
–2
4
x
–4
2)
______
2
–2
–4
1)
O
x  y  4
4 x  2y  8
______
3)
y  4x
 y  2x  4
______
4)
y  x4
y  2(x  2)
______
Determine the point of intersection that is a minimum or maximum for the objective function. Find
the minimum or maximum value using this point.
5)
6)
Inverse Variation xy = k or y = k/x
7) Suppose y varies inversely with x, and y = 8
when x = -2. Write an equation for the
inverse variation.
8) Suppose y varies inversely with x, and y = 2
when x = 9. What is the value of x when
y = 6?
MIDTERM MINI REVIEW #10
SYSTEMS OF INEQUALITIES, LINEAR PROGRAMMING, INVERSE VARIATION
Match the graphs with the appropriate systems of inequalities.
A)
B)
y
y
–4
–2
4
4
2
2
O
2
4
–4
x
–2
O
2
x
4
–2
–2
–4
–4
C)
D)
y
–4
–2
y
4
4
2
2
O
2
4
x
–4
–2
–2
4
x
–4
2)
______
2
–2
–4
1)
O
x  y  4
4 x  2y  8
______
3)
y  4x
 y  2x  4
______
4)
y  x4
y  2(x  2)
______
Determine the point of intersection that is a minimum or maximum for the objective function. Find
the minimum or maximum value using this point.
5)
6)
Inverse Variation xy = k or y = k/x
7) Suppose y varies inversely with x, and y =
8 when x = -2. Write an equation for the
inverse variation.
8) Suppose y varies inversely with x, and y =
2 when x = 9. What is the value of x when
y = 6?