Mastermind

First

100

 -7(8r+1)-4r=-187

-56x-7-4x=-187

-60x-7=-187

-60x=-187+7

-60x=-180

x=3

200

13.7b-6.5+2.3b

16b-6.5=8.3

16b=8.3+6.5

16b=14.8

b=0.925

300

Cost of Books at the Bookstore

Book x:1,2,3,4,5

Book y:7.50,15.00,22.50,30.00,37.5

m=y2-y1/x2-x1

m=y(15)-y(7.50)

m=15.00-7.50/2-1

m=7.50

400

-14-8x=-2(-3x+7)

-14-8x=6x-14

-8x=6x=0

-14=0

x=0

500

-14-8x=-2(-3x+7)

-14-8x=6x-14

-8x=6x

-14x=0

x=0

second

100

30+6p=7(p+6)-5

30+6p=7p+37

6p-7p=37-30

-p=37-30

p=7

200

1/4(12x+4)-14+4x=8

12x+4-14-4x=8

8x+4-14=8

8x-10=8

x=10

300

8x-8=6x-5+2(x-2)

8x-8=6x-5+2x-4

8x-8=8x-5-4

8x-8=8x-9

8x=8x

x=0

400

Joe's canoes charge an initial fee of $additional $30 per day to rent a car. Buddy's rental car charges an initial fee of $36 plus an additional 28 per day. For what a number of days are the total cost charged by the companies the same?

20+30x=36+28x

x=8

500

-(3-6b)=6b+5

-3+6b=67

6b=67+3

6b=70

b=35/3

third

100

8x+38=-3(-6-4x)

8x-12x=18-38

-4x=-20

x=5

200

The cost of adding a garage to home is 5 times as much as the cost of painting the houses. If the garage addition costs $15,000, find the cost of painting the houses.

5x=15,000

x=$3,000

300

3x+7=5x+2(3-x)+1

3x+7=5x+6-2x+1

3x+7=3x+6+1

3x+7=3x+7

400

Andy's Rental car charge's an initial fee of $20 plus an additional $30 per day to rent a car. Buddy's Rental car charges an initial fee of $36 plus an additional $28 per day. For what a number of days are the total cost charges of the companies the same?

20x+30=36x+28

x=1/8

500

The monthly cost of mp3s at Maggie's music service 

song,x:5,10,15,20,25

song,y:4.95,9.90,14.85,19.80,24.75

m=y(10)-y(5)/x(9.90)-x(4.95)

m=4.95/5

m=0.99

fourth

100

-3(v+4)=2v-37

-3v-12=2v-37

-3v-2v=-37+12

-5v=-37=12

-5v=-25

v=5

200

1.5y-1.5+0.5y+0.52+1

2.0y-1.5+0.52+1

20y-2.20+1

2.0y-2.03

300

7/10x-2=2/5x+1

7x-20+4x+10

7x-4x-20=10

7x-4x=10+20

3x=10+20

3x=30

x=10

x=10

400

3+5n=5(n+2)-7

3+5n=5n+10-7

3+5n=5n+3

5n=5n

n=n

500

The monthly cost, in dollars, to download x movies, 

Movies,x:2,4,6,8

cost,y:10,20,30,40

 

m=y(20)-y(10)/x(2)-x(4)

y=4(2)+6

y=8+6

y=14

fifth

100

18=4(x-2)-(x-8)

18=4x-8-x-8

18=4x-x

18=3x

6=x

200

12.5-4g=-2g-3.5

12.5=-2g-3.5

16.0=-2g

8.0=y

8=y

300

12.5-4g=-2g-3.5

12.5=-2g-3.5

16.0=-2g

8.0=y

8=y

400

4(k-8)=-32+4k

4k-32=-32+4k

500

3(8m-8)+3(1-11m)=9m+4-6m+11

24m-24+3-33m=9m+4-6m+11

24m-21-33m=9m+4-6m+11

57m-21=9m+4-6+11

57m-21=9m-6m+7

57m-28=9m-6

57m-28=3m

24=3m

8=m