Systems of Equations and Inequalities

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Presentation transcript:

Systems of Equations and Inequalities ECA Review

Concept

Concept

Concept

Lines a and b at right form a system of equations Lines a and b at right form a system of equations. Write the equations of the lines and find the exact point of intersection. y = – x + 1 y = 5/2 x + 3 Review 1

Find the point where the graphs of the equations intersect. Check your answer. (4,1) Review 2

Review 3 The lines are parallel The lines are the same line Complete each sentence. A system of two linear equations has no solution if . . . A system of two linear equations has infinitely many solutions if . . . A system of two linear equations has exactly one solution if . . . The lines are parallel The lines are the same line The lines intersect Review 3

Write a system of inequalities to describe this shaded area. 4

Solve the system of equalities (4, – 1) Review 5

Write a system of inequalities to describe the shaded area of the graph. In the inequalities, express the slopes of the lines in fraction form. Review 6

Solve the system of equations Review 7

Solve the system of equations Review 8

Solve the system of equations Review 9

Solve the system of equations Review 10

Solve the system of equations Review 11

Solve the system of equations Review 12

Solve the system of equations Review 13

Solve the system of equations Review 14

Solve the system of equations Review 15

Solve the system of equations Review 16

Graph Review 17

Graph Review 18

Graph Review 19

Graph Review 20

Graph Review 21

Graph Review 22

Write a system of inequalities for the solution shown on the graph Review 23

Write a system of inequalities for the solution shown on the graph Review 24

Write a system of inequalities for the solution shown on the graph Review 25