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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University
Systems of Linear Equations and Inequalities
Linear Programming
Warm-Ups
1
The graph of x ≥ 0 in the coordinate plane consists of the points on or above the x-axis.
A)
TRUE
B)
FALSE
2
The graph of y ≥ 0 in the coordinate plane consists of the points on or to the right of the y-axis.
A)
TRUE
B)
FALSE
3
The graph of x + y ≤ 6 consists of the points below the line x + y = 6.
A)
TRUE
B)
FALSE
4
The graph of 2x + 3y = 30 has x-intercept (0, 10) and y-intercept (15, 0).
A)
TRUE
B)
FALSE
5
The graph of a system of inequalities is a union of their individual solution sets.
A)
TRUE
B)
FALSE
6
In linear programming, constraints are inequalities that restrict the possible values that the variables can assume.
A)
TRUE
B)
FALSE
7
The function F(x, y) = Ax
2
+ By
2
+ C is a linear function of x and y.
A)
TRUE
B)
FALSE
8
The value of R(x, y) = 3x + 5y at the point (2, 4) is 26.
A)
TRUE
B)
FALSE
9
If C(x, y) = 12x + 10y, then C(0, 5) = 62.
A)
TRUE
B)
FALSE
10
In solving a linear programming problem, we must determine the vertices of the region defined by the constraints.
A)
TRUE
B)
FALSE
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