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For Steve: MAT116/Week 8: (How can I...

For Steve:

MAT116/Week 8:

(How can I send an attachment to you? I have equations that have Graphs)

#1

Solve the system of equations by graphing.

5x – y= 21

5x + 6y= -21

What is the solution of the system?

(Type an ordered pair. Type N if there is no solution. Type R if the solution is all real numbers).

Is the system consistent or inconsistent?

Are the equations dependent or independent?

#2

Determine whether the given numbers are solutions of the inequality.

x – 3=8; -9,3,6,13; Is-9 a solution?,Is 3 a solution?,Is 6 a solution?,Is 13 a solution?

#3

9/(10 ) (3+6x)+ 1 =16;

The solution is x ??(Type an inequality symbol;then an integer or fraction.

#4

Solve by the substitution method.

7x+ 9y= 40

-5x + y= 16; What is the solution of the system?

(Type an ordered pair or N if no solution)

#5

5x+ 12 =2 and 2x-21 = -17

The solution is x/x = ?

#7

Solve by the elimination method.

0.3x – 0.2y= 4

0.4x+ 0.3y= 73/19

What is the solution of the system?

#10

The perimeter of a rectangle is 214 inches. The length exceeds the width by 41 inches. Find the length and the width?

#11

Write interval notation for the set {x -3 > x > -5}.

Choose the correct interval notation below:

(-5, -3)

(-5, -3]

[-5, -3)

[-5, -3]

#12

Solve.

3y – 3 < 7y – 4

Use set-builder notation to describe the complete solution:

y ? ? (type an inequality symbol, then type an integer or fraction.)

#13

Solve the system of equations by graphing; then classify the system.

X= 4

Y= -2

What is the solution of the system?

Is the system consistent or inconsistent?

Dependent or independent?

#15

Determine whether the ordered pair is a solution of the inequality.

(-7, 5); 4x+y< -4

In this case, is the ordered pair a solution?

#16

Miguel’s insurance company will replace his car if if the repair costs exceed 80% of the car’s value. The car recently sustained $10800 worth of damage, but it was not replaced.

What was the value of his car?

$13500

More than $8640

Less than $13500

Greater than or equal to $13500

#17

A disc jockey must play 12 commercial spots during 1 hour of a radio show. Each commercial is either 30 seconds or 60 seconds long. If the total commercial time during 1 hour is 8 min, how many 30-second commercials were played that hour? How many 60-second commercials?

#18

A celluar 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) + 71.95, where it is assumed that t = 500 minutes. What times will keep costs between $121.20 and $138.95?

For the cost to be between $121.20 and $138.95, the telephoning time must be between ? minutes and ? minutes.

#19

The perimeter of a rectangle is 52m. The length is 2m more than twice the width. Find the dimensions.

Length?

Width?

#20

a+8 = - 12; The solution is {a = ?}

#21

Graph and write in interval notation:

7 < x < 13

#23

3(3-8x) + 5x < 2(9 + 6x)

Use set-builder notation to describe the solution

x ? ? (Type an inequality symbol, then an integer or fraction)

#24

Solve by the elimination method.

4x + 7y= -14

8x – 7y= -70

What is the solution of the system? (Type an ordered pair. Type an integer or fraction, or N if no solution)

MAT116/Week 8:

(How can I send an attachment to you? I have equations that have Graphs)

#1

Solve the system of equations by graphing.

5x – y= 21

5x + 6y= -21

What is the solution of the system?

(Type an ordered pair. Type N if there is no solution. Type R if the solution is all real numbers).

Is the system consistent or inconsistent?

Are the equations dependent or independent?

#2

Determine whether the given numbers are solutions of the inequality.

x – 3=8; -9,3,6,13; Is-9 a solution?,Is 3 a solution?,Is 6 a solution?,Is 13 a solution?

#3

9/(10 ) (3+6x)+ 1 =16;

The solution is x ??(Type an inequality symbol;then an integer or fraction.

#4

Solve by the substitution method.

7x+ 9y= 40

-5x + y= 16; What is the solution of the system?

(Type an ordered pair or N if no solution)

#5

5x+ 12 =2 and 2x-21 = -17

The solution is x/x = ?

#7

Solve by the elimination method.

0.3x – 0.2y= 4

0.4x+ 0.3y= 73/19

What is the solution of the system?

#10

The perimeter of a rectangle is 214 inches. The length exceeds the width by 41 inches. Find the length and the width?

#11

Write interval notation for the set {x -3 > x > -5}.

Choose the correct interval notation below:

(-5, -3)

(-5, -3]

[-5, -3)

[-5, -3]

#12

Solve.

3y – 3 < 7y – 4

Use set-builder notation to describe the complete solution:

y ? ? (type an inequality symbol, then type an integer or fraction.)

#13

Solve the system of equations by graphing; then classify the system.

X= 4

Y= -2

What is the solution of the system?

Is the system consistent or inconsistent?

Dependent or independent?

#15

Determine whether the ordered pair is a solution of the inequality.

(-7, 5); 4x+y< -4

In this case, is the ordered pair a solution?

#16

Miguel’s insurance company will replace his car if if the repair costs exceed 80% of the car’s value. The car recently sustained $10800 worth of damage, but it was not replaced.

What was the value of his car?

$13500

More than $8640

Less than $13500

Greater than or equal to $13500

#17

A disc jockey must play 12 commercial spots during 1 hour of a radio show. Each commercial is either 30 seconds or 60 seconds long. If the total commercial time during 1 hour is 8 min, how many 30-second commercials were played that hour? How many 60-second commercials?

#18

A celluar 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) + 71.95, where it is assumed that t = 500 minutes. What times will keep costs between $121.20 and $138.95?

For the cost to be between $121.20 and $138.95, the telephoning time must be between ? minutes and ? minutes.

#19

The perimeter of a rectangle is 52m. The length is 2m more than twice the width. Find the dimensions.

Length?

Width?

#20

a+8 = - 12; The solution is {a = ?}

#21

Graph and write in interval notation:

7 < x < 13

#23

3(3-8x) + 5x < 2(9 + 6x)

Use set-builder notation to describe the solution

x ? ? (Type an inequality symbol, then an integer or fraction)

#24

Solve by the elimination method.

4x + 7y= -14

8x – 7y= -70

What is the solution of the system? (Type an ordered pair. Type an integer or fraction, or N if no solution)

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