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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University
Systems of Linear Equations and Inequalities
Solving Systems by Graphing and Substitution
Warm-Ups
1
The ordered pair (1, 2) is in the solution set to the equation 2x + y = 4.
A)
TRUE
B)
FALSE
2
The ordered pair (1, 2) satisfies 2x + y = 4 and 3x - y = 6.
A)
TRUE
B)
FALSE
3
The ordered pair (2, 3) satisfies 4x - y = 5 and 4x - y = -5.
A)
TRUE
B)
FALSE
4
If two distinct straight lines in the coordinate plane are not parallel, then they intersect in exactly one point.
A)
TRUE
B)
FALSE
5
The substitution method is used to eliminate a variable.
A)
TRUE
B)
FALSE
6
No ordered pair satisfies y = 3x - 5 and y = 3x + 1.
A)
TRUE
B)
FALSE
7
The equations y = 3x - 6 and y = 2x + 4 are independent.
A)
TRUE
B)
FALSE
8
The equations y = 2x + 7 and y = 2x + 8 are inconsistent.
A)
TRUE
B)
FALSE
9
The graphs of dependent equations are the same.
A)
TRUE
B)
FALSE
10
The graphs of independent linear equations intersect at exactly one point.
A)
TRUE
B)
FALSE
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