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Equations and inequalities

Solve the system by the substitution method
6x+5y=10
-4x+y=28
Solve the system by the elimination method
5x+5y=-11
7x-3y= 19

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
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.)
Is the system consistent or inconsistent?
A.)___________inconsistent
B.)____________consistent

Are the equation dependent or independent

A) Dependent_______________
B)  independent_______

The perimeter of a rectangle is 128 m. The length is 4m more than twice the width. Find the dimensions.
What is the length?
____________m          (Simplify your answer)

What is the width?
____________m           (Simplify your answer)

Solve.
9/10 (3+6x)+1 >16
x|x| _| _|

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
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.)
Is the system consistent or inconsistent?
A.)___________inconsistent
B.)____________consistent

Are the equation dependent or independent

A) Dependent_______________
B)  independent_______

Solve. Then graph
a+9<-122:39 PM 9/28/2008
{a|a< _}

Solve.
4y+2y<54
{y|y _ _}

Graph the system of inequalities
X < 2
Y > -2x+3

Solve. Then graph
7-3x>16 and 4x-1>15
**choose the correct solution**
{x|x>4}
{x|-3<x<4}
{x|x<-3}
0

Determine whether the ordered pair is a solution of the inequality
(9,11), 8y-9x>6

Write interval notation for the set
{x|-6<x<6}

Determine whether the given numbers are solutions of the inequality
7,-10,-13,-1
y-8>2y-2

Use set builder notation to describe the complete solution
7[3m-(m+6)]>2(m-5)
{m|m_ _}

Solve by the elimination methods
0.3x-0.2y=4
0.5x+0.3y= 71/23

Graph and write in interval notation
5<x<13

Graph the inequality on a plane
5x+6y<30

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)

What is the width?
____________m           (Simplify your answer)

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
What was the value of his car?

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?
How many liters of the 25% orange juice should be in the mixture _ L
How many liters of the 10% orange juice should be in the mixture _ L

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.
For the cost to be between 122.70 and 158.45, the telephoning time must be between _ min. and _ min.

Classify the graph of the system as consistent or inconsistent and as dependent or independent. Then match it with the correct system.
Is the system consistent or inconsistent?
A.)___________inconsistent
B.)____________consistent

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)

Solution Preview

Please see the attached file for all my answers for the question up to

"Solve by the elimination methods
0.3x - 0.2y = 4
0.5x + 0.3y = 71/23"

I am sorry that I am encountering a technical difficulty in Microsoft word. Here are my responses for the rest of the questions.

Question: "Graph and write in interval notation 5<13"

Answer:
Since the inequality is always true, the solution is {x | x E R} (or all x that belongs to all real numbers)
The graph of the solution is a horizontal line representing the x-axis and darken the entire line to represent the solution set.

Question: "Graph the inequality on a plane 5x + 6y < 30"

Answer:
Graph the line 5x + 6y = 30 with x-intercept (6, 0) and y-intercept (0, 5)
This is a line pointing down from ...

Solution Summary

This provides several examples of solving systems of equations and inequalities, including word problems and graphing.

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