Test Review Chapter 3.

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Presentation transcript:

Test Review Chapter 3

1. What does the graph of a linear system that has a solution looks?

2. What does the graph of a linear system that has no solution look like?

3. What does the graph of a linear system that has infinitely many solutions look like?

4. What does an ordered pair look like?

5. What does an ordered triple look like?

6. When graphing inequalities, how do you know when to draw a solid line or a dashed line?

7. What does it mean to “classify a system?”

8. Is the ordered triple a solution 8. Is the ordered triple a solution? (6, 0, -3) x + 4y – 2z = 12 3x – y + 4z = 6 -x + 3y + z = -9

9. Is the ordered triple a solution 9. Is the ordered triple a solution? (1, 4, -3) 2x – y + z = -5 5x + 2y – 2z = 19 x – 3y + z = -5

10. What is slop-intercept form?

11. What is the slope-intercept form of the equation -4x + 2y = 6 ?

12. Where is the solution found on a graph of 2 linear systems?

13. Graph the linear systems and estimate the solution 13. Graph the linear systems and estimate the solution. y = 1 2 x + 2 y = x + 1

14. What does inequality mean?

15. When graphing an inequality, how do you know when to shade on top of, or below the line?

16. Graph the systems of inequalities 16. Graph the systems of inequalities. y ≥0 x > 3 x + y ≥ -2 y < 4x

17. Solve the system using the substitution method 17. Solve the system using the substitution method. 3x + 2y = 6 x – 4y = -12

18. Check your solution in #17 by graphing.

19. Solve the system using the elimination method 19. Solve the system using the elimination method. 3x + 4y = 18 6x + 8y = 18

20. Check your answer in #19 by graphing.

21. Solve the system using any algebraic method 21. Solve the system using any algebraic method. x + y – z = 4 3x + 2y + 4z = 17 -x + 5y + z = 8

22. At a pizza shop, 2 pizzas, a liter of soda, and a salad cost $14; 1 pizza, a liter of soda, and 3 salads cost $15; and 3 pizzas and a liter of coke cost $16. What is the cost of 1 pizza, 1 liter of soda, and 1 salad?