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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University

Systems of Linear Equations and Inequalities

Enrich Your Math Word Power



For each mathematical term, choose the correct meaning.



1

system of equations
A)a systematic method for classifying equations
B)a method for solving an equation
C)two or more equations
D)the properties of equality
2

independent linear system
A)a system with exactly one solution
B)an equation that is satisfied by every real number
C)equations that are identical
D)a system of lines
3

inconsistent system
A)a system with no solution
B)a system of inconsistent equations
C)a system that is incorrect
D)a system that we are not sure how to solve
4

dependent system
A)a system that is independent
B)a system that depends on a variable
C)a system that has no solution
D)a system for which the graphs coincide
5

substitution method
A)replacing the variables by the correct answer
B)a method of eliminating a variable by substituting one equation into the other
C)the replacement method
D)any method of solving a system
6

addition method
A)adding the same number to each side of an equation
B)adding fractions
C)eliminating a variable by adding two equations
D)the sum of a number and its additive inverse is zero
7

linear equation in three variables
A)Ax + By + Cz = D with A, B, and C not all zero
B)Ax + By = C with A and B not both zero
C)the equation of a line
D)A/x + B/y = C with A and B not both zero
8

linear inequality in two variables
A)when two lines are not equal
B)line segments that are unequal in length
C)an inequality of the form Ax + By ≥ C or with another symbol of inequality
D)an inequality of the form Ax2 + By2< C2
9

matrix
A)a television screen
B)a maze
C)a rectangular array of numbers
D)coordinates in four dimensions
10

augmented matrix
A)a matrix with a power booster
B)a matrix with no solution
C)a square matrix
D)a matrix containing the coefficients and constants of a system of equations
11

order
A)the length of a matrix
B)the number of rows and columns in a matrix
C)the highest power of a matrix
D)the lowest power of a matrix
12

sign array
A)the signs of the entries of a matrix
B)the sign of the determinant
C)the signs of the answers
D)a matrix of + and - signs used in computing a determinant
13

determinant
A)a number corresponding to a square matrix
B)a number that is determined by any matrix
C)the first entry of a matrix
D)a number that determines whether a matrix has a solution