an ordered pair that is a solution of each equation in the system. step 2 of solving a system of linear equations by graphing (after 'graph each equation in the same coordinate plane') solution of a linear inequality in 2 variables step 4 of solving a system of linear equations by elimination (after 'solve the resulting equation') solution of a system of linear equations (in two variables)

solution of a system of linear equations (in two variables)

graph each equation in the same coordinate plane. step 2 of solving a system of linear equations by substitution (after 'solve one of the equations for one of the variables') step 1 of solving a system of linear equations by graphing solutions of systems of linear equations with lines; how many solutions?- the lines intersect. step 1 of graphing a system of linear inequalities

step 1 of solving a system of linear equations by graphing

estimate the point of intersection step 2 of solving a system of linear equations by elimination (after 'multiply, if necessary, one or both equations by a constant so at least one pair of like terms has the same or opposite coefficients') graph of a linear inequality (in 2 variables) step 2 of solving a system of linear equations by graphing (after 'graph each equation in the same coordinate plane') linear inequality in 2 variables

step 2 of solving a system of linear equations by graphing (after 'graph each equation in the same coordinate plane')

check the point from step 2 by substituting for x and y in each equation of the original system linear inequality in 2 variables step 3 of solving a system of linear equations by graphing (after 'estimate the point of intersection') solution of a system of linear equations (in two variables) step 1 of solving a system of linear equations by substitution

step 3 of solving a system of linear equations by graphing (after 'estimate the point of intersection')

substitute the expression from step 1 into the other equation and solve for the other variable step 2 of solving a system of linear equations by substitution (after 'solve one of the equations for one of the variables') step 1 of solving a system of linear equations by substitution step 3 of graphing a linear inequality in 2 variables (after 'test a point that is not on the boundary line to determine whether it is a solution of the inequality.') step 1 of graphing a system of linear inequalities

step 2 of solving a system of linear equations by substitution (after 'solve one of the equations for one of the variables')

multiply, if necessary, one or both equations by a constant so at least one pair of like terms has the same or opposite coefficients step 1 of solving a system of linear equations by elimination solution of a system of linear equations (in two variables) solution of a system of linear inequalities (in 2 variables) solutions of systems of linear equations with lines; how many solutions?- the lines are the same.

step 1 of solving a system of linear equations by elimination

8th Grade - Algebra 1 - Blaho - Chapter 5 Test

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Calculus - Geometry

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Cards in this deck(30)

a set of two (or more) linear equations in the same variables

an ordered pair that is a solution of each equation in the system.

graph each equation in the same coordinate plane.

estimate the point of intersection

check the point from step 2 by substituting for x and y in each equation of the original system

solve one of the equations for one of the variables

substitute the expression from step 1 into the other equation and solve for the other variable

substitute the value from step 2 into one of the original equations and solve.

multiply, if necessary, one or both equations by a constant so at least one pair of like terms has the same or opposite coefficients

add or subtract the equations to eliminate one of the variables

solve the resulting equation

substitute the value from step 3 into one of the original equations and solve for the other variable

one solution

no solution

infinitely many solutions

to solve the equation ax + b = cx + d, write 2 linear equations

graph the system of linear equations. the x-value of the solution of the system of linear equations is the solution of the equation ax + b = cx + d

an ordered pair (x,y) that makes the inequality true.

shows all the solutions of the inequality in a coordinate plane.

x and y, can be written as: ax + by < c, ax + by ≤ c, ax + by > c, ax + by ≥ c; where a, b, and c are real numbers.

an ordered pair (x,y) that makes the inequality true

the boundary line divides the coordinate plane into 2 ---.

graph the boundary line for the inequality. use a dashed line for < or >. use a solid line for ≤ or ≥.

test a point that is not on the boundary line to determine whether it is a solution of the inequality.

when the test point is a solution, shade the half-plane that contains the point. when the test point is not a solution, shade the half-plane that does not contain the point.

a set of 2 or more linear inequalities in the same variables.

an ordered pair that is a solution of each inequality in the system.

the graph of all the solutions of the system.

graph each inequality in the same coordinate plane.

find the intersection of the half-planes that are solutions of the inequalities. this intersection is the graph of the system.

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8th Grade - Algebra 1 - Blaho - Chapter 5 Test

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