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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