Questions:
Equations and inequalities
1. Solve the system by the substitution method
6x+5y=10
-4x+y=28
2. Solve the system by the elimination method
5x+5y=-11
7x-3y= 19
3. Solve the system of equations by graphing. Then classify the system as consistent or inconsistent and the equations as dependent or independent.
3x-9y=63
2x-6y= -8
4. What is the solution of the system of equations? ____________________
(Type an ordered pair. Type N if there is no solution. Type R if the solution is all real number.)
5. Is the system consistent or inconsistent?
A.)___________inconsistent
B.)____________consistent
6. Are the equation dependent or independent
A) Dependent_______________
B) independent_______
7. The perimeter of a rectangle is 128 m. The length is 4m more than twice the width. Find the dimensions.
8. What is the length?
____________m (Simplify your answer)
9. What is the width?
____________m (Simplify your answer)
Solve.
9/10 (3+6x)+1 >16
x|x| _| _|
10. Solve the system of equations by graphing. Then classify the system as consistent or inconsistent and the equations as dependent or independent.
7x+y=29
8x-9y= -14
11. What is the solution of the system of equations? ____________________
(Type an ordered pair. Type N if there is no solution. Type R if the solution is all real number.)
12. Is the system consistent or inconsistent?
A.)___________inconsistent
B.)____________consistent
13. Are the equation dependent or independent
A) Dependent_______________
B) independent_______
14. Solve. Then graph
a+9<-122:39 PM 9/28/2008
{a|a< _}
Solve.
4y+2y<54
{y|y _ _}
15. Graph the system of inequalities
X < 2
Y > -2x+3
16. Solve. Then graph
7-3x>16 and 4x-1>15
17. choose the correct solution**
{x|x>4}
{x|-3{x|x<-3}
18. Determine whether the ordered pair is a solution of the inequality
(9,11), 8y-9x>6
19. Write interval notation for the set
{x|-6
20. Determine whether the given numbers are solutions of the inequality
7,-10,-13,-1
y-8>2y-2
21. Use set builder notation to describe the complete solution
7[3m-(m+6)]>2(m-5)
{m|m_ _}
22. Solve by the elimination methods
0.3x-0.2y=4
0.5x+0.3y= 71/23
23. Graph and write in interval notation
5
24. Graph the inequality on a plane
5x+6y<30
25. The perimeter of a rectangle is 172 inches the length exceeds the width by 42 inches. Find the length and the width.
____________m (Simplify your answer)
26. What is the width?
____________m (Simplify your answer)
27. Miguel's insurance company will replace his car if repair costs exceed 80% of the car's value the car recently sustained $5600 worth of damage but it was not replaced. What was the value of his car
28. What was the value of his car?
29. One canned juice drink is 25% orange juice, another is 10% orange juice. How many liters of each should be mixed together in order to get 15L that is 17% orange juice?
30. How many liters of the 25% orange juice should be in the mixture _ L
31. How many liters of the 10% orange juice should be in the mixture _ L
32. A cellular phone company offers a contract for which the cost C in dollars, of t minutes of telephoning is given by C=0.25(t-500)+75.95, where it is assumed that t³500 minutes. What times will keep costs between $122.70 and $158.45.
33. For the cost to be between 122.70 and 158.45, the telephoning time must be between _ min. and _ min.
34. Classify the graph of the system as consistent or inconsistent and as dependent or independent. Then match it with the correct system.
35. Is the system consistent or inconsistent?
A.)___________inconsistent
B.)____________consistent
36. Are the equation dependent or independent
A) Dependent_______________
B) independent_______
a) x=4,y=-8
b) y=4x, y=-8x
c) x=-8, y=4
Solution (4,-8)