Algebra I: Chapter 6 Review Sheet - Oxford School District



Algebra I: Systems of Equations/Inequalities Review

I. Parallel and Perpendicular Lines

1. What is the equation of the line that is parallel to 2x + 6y = –18 and passes through the point (–9,2)?

2. Write the equation of the line perpendicular to 5x – 3y = 7 and passes through the point (1,6)?

3. What is the slope of the line parallel to –3x + 8y = 5?

4. What is the slope of the line perpendicular to 9x + 2y = 12?

II. Solving Systems by Graphing

Solve the following systems by graphing.

5. 6. 7.

Solution: Solution: Solution:

III. Solving Systems by Substitution

Solve the following systems by substitution.

8. 9.

Solution: Solution:

IV. Solving Systems by Elimination

Solve the following systems by elimination. Then, tell what type of system each is.

10. 11.

Solution: Solution:

V. Systems of Equations

Write a system of equations for the problem and solve the system using any method.

12. Tom has 18 coins totaling $1.45. If he only has dimes (d) and nickels (n), how many does he have of each type?

VI. Systems of Inequalities

Graph the following systems of inequalities and give two points that satisfy each system.

13. 14.

Solutions: Solutions:

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