Systems of Equations Review

• (-2,5)

• (0,1)

• (5,-2)

• (2,0)

• (50,0)

• (2,90)

• (3,90

• (1,50)

When a point is a solution to a system of equations, which statement is true?

• it is one of many points that satisfies both equations

• it is a point on one of the equations

• it is a point that is on both of the equations simultaneously

• it is a point that lies in a quadrant of the graph, but does not satisfy either equation

When two lines have the SAME SLOPE, but different y-intercepts, the lines are considered

• coincident lines

• parallel lines

• intersecting lines

• perpendicular lines

When two lines are PARALLEL, which describes the NATURE OF THE SOLUTION?

• no solution

• infinite solutions

• exactly one solution

• two solutions

When two lines INTERSECT, which describes the NATURE OF THE SOLUTION?

• no solution

• infinite solutions

• exactly one solution

• two solutions

When given COINCIDENTAL lines, which describes the NATURE OF THE SOLUTION?

• no solution

• infinite solutions

• exactly one solution

• two solutions

When algebraically solving a system of equations the last line turns out to be 9 = 9, what can be said about the NATURE of the solutions?

• no solution

• infinite solutions

• exactly one solution

• nine solutions

When algebraically solving a system of equations the last line turns out to be 4 = 7, what can be said about the NATURE of the solutions?

• no solution

• infinite solutions

• exactly one solution

• nine solutions

Which coordinate point is the solution to the system

y + 4 = 3x

y = 2x + 1

• (1,-1)

• (6,13)

• (0,0)

• (5,11)