8th Chapter 6 Systems

1

100

Solving Using Graphing

y=2x+1

y=-x+7

(2,5)

200

Solve by Elimination:

3x=4y+14

9x-12y=-15

No Solution

300

Solve by Elimination:

y+x=5

3x+2y=13

(3,2)

400

Solve using graphing:

y=x-2

y=4

(6,4)

500

A high school soccer team ordered new soccer balls and jerseys for the up coming years. Soccer balls cost $25 and Jerseys cost $9.50 each. If the delivery had 84 items in the box and cost $1046.00 how many of each item was ordered?

 x+y=84 

 25x+9.5y=1046 

16 Soccer balls and 68 Jerseys

2

100

Write the system of equations and the solution for the following:

 y=x-8 

 y=-2x+1 

(3,-5)

200

Solve Using Graphing

x+y=8

y=3x+4

(1,7)

300

Your next math test has 2 types of questions and is worth 144 total points. There are True/False questions worth 2 points each, and multiple choice questions worth 4 points each. If there are 40 questions on the test, How many of each type of question is there?

 x+y=40 

 2x+4y=144 

8 True or False and 32 Multiple choice.

400

Solve by Substitution:

x+y=14

-3y=3x+21

No Solution

500

Solve by Elimination:

-3x+5y=-34

4x-11y=54

(8,-2)

3

100

The difference between two numbers is 6. The first number plus twice the other number is 39. Find the two numbers.

x-y=6

x+2y=39

17 and 11

200

Parallel lines have _________ Slope(s) and _____________ y intercept(s)

They have ______________ Solution(s)

The same

Different

No

300

Solve by Elimination:

3x+2y=15

-2x+3y=-10

(5,0)

400

Solve Using Graphing:

y=2x+4

y=-x+1

(-1,2)

500

Two baseball teams with 15 players each stop at a quick stop for food on the way home after the game. They sell hotdogs for $2.50 and Pizza slices for $3.25. If the total for both teams was 81.75 how many hotdogs and pizza slices were purchased?

 x+y=30 

 2.5x+3.25y=81.75 

21 hotdogs and 9 pizza slices

4

100

Solve by Graphing:

y=x

y=-x

(0,0)

200

Solve by Substitution:

-3x+2y=56

5x+2y=-24

(-10,13)

300

Solve by Substitution:

y=3x+10

2y+x=20

(0,10)

400

Sarah has 49 quarters and nickels that are worth $6.05. How many of each coin does she have?

 x+y=49 

 0.25x+0.05y=6.05 

18 Quarters and 31 Nickels

500

Solve Using Graphing:

y=-x+2

x+y=6

Parallel. No Solution

5

100

Solve by Substitution:

x+y=9

4x+5y=20

(25,-16)

200

A collection of 45 nickels and dimes is worth $3.10. How many of each kind of coin is there?

 x+y=45 

 0.10x+0.05y=3.10 

17 dimes and 28 nickels

300

Write the system of equations and the solution for the following:

 y=-5/2x+2 

 y=-9/2x+6 

(2,-3)

400

Solve by Substitution:

3x+8y=15

2x-8y=10

(5,0)

500

Solve by Elimination:

2x-y=10

4x+2y=4

(3,-4)

Final

500

The maximum capacity of seating for a theater is 500 people. The theater sells two types of tickets, Adult tickets for $7.25 and children tickets for $4.00 each. They have sold out for this Saturday's show and made $3,157.00 in sales. How many of each ticket did the theater sell?

 x+y=500 

 7.25x+4y=3157 

356 Adult tickets and 144 children tickets.