Simplify
Solve
Inequality
Systems
Modeling
100

-(2x-3)

-2x+3

100

7-x=15

x=-8

100

-3x>-9

x<3
100

y=3x and y+4x=28

(4,12)

100

The cost of 3 bottles of milk is $6.81. What is the cost of 1 bottle of milk?

3x= 6.81, x=2.27

200

-3(-2x+5)

6x-15

200

-2x-3=9

x=-6

200

x+3>-12

x>-15

200

y=4x and y+5x=18

(2,8)

200

The cost of 5 cans of oil, including $0.26 tax, is $4.51. What is the cost of 1 can of oil before taxes?

5x +.26=4.51,

x=0.85

300

-(-X-6)

X+6

300

-(x+2)=5

x=-7

300

8-x>16

x<-8

300

y=2x+3 and y+3x=23

x = 4

y =11

300

An electrician charges $25, plus $20 per hour, for making a service call. How many hours were charged if the total bill was $75

20x + 25 = 75

x=2.5

400

-2x-4(2x-3)

-10x+12

400

3x + 8(x + 6) =4

X=-4

400

8>5-9x

X >-1/3

400

y=x+4 and 3y+2x=32

x=4

y=8

400

A shopper bought some cans of soup at $0.39 per can and some packages of frozen vegetables at $0.59 per package. Twice as many packages of vegetables were purchased if their total bill was $9.42?

0.39x+0.59y=9.42,

2x=y

12 packages

500

4-(2x+3)-2x

-4x+1

500

- 6(4x+5)+7x=-2x

X=-2

500

2-(2x+3)>7

x<-4

500

2x-y=-4 and y=3x-4

(8,20)

500

A club sold student tickets for $3.25 and full-price tickets for $5.25, and 16 more student tickets were sold than full-price tickets. How many student tickets were sold if the total sales were $2559.50?

x=311

y=295

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