8th grade 2.1/2.2 review

2.1

100

Solve 0.29x+0.11x=20

x=50

200

The community has a cooking class. Each student pays$15 for the class and $27 for materials. This month the cooking class brought in a total of $714. How many students are in the class this month?

15x+27x=714

x=17 students

300

-3.8x-5.9x=223.1 solve for x

x=-23

400

x-0.3x=350000 solve for x

x=500000

500

3/8x+1/4x=20 solve for x

x=32

2.1

100

2x+5x=-49

x= -7

200

-2.5x-3.6x=22.5  find x, round to one decimal place

x= -3.6885

x=-3.7

300

4/5x-1/4x=11 solve for x

x=20

400

Toni goes to a ball game and buys a ticket. The total includes a charge of 7% of the original price for extra fees. If Toni pays a total of $44.94, how much was the original price of the ticket? 

Set up .07x+1x=44.94

x=$42

500

2.4x-9.1x+12.5x=-39.44 solve for x

x=-6.8

2.2

100

550-25x=10+35x solve for x

x=9

200

4x+6=5/2x+12 Solve for  x

x=4

300

A rental car charges$240 per week plus$0.25 per mile to rent a car. The charge for a truck is $180 per week plus$0.40 per mile. After how many miles is the total charge for each vehicle the same? 

set up 240+0.25x=180+0.4

x=400 miles for the week the cost will be the same.

400

150-x-2x=120+2x solve for x

x=6

500

3x+5=10-4x

What is the variable?

What are the like terms?

Variable: x

Like terms: 3x, -4x and 5, 10

2.2

100

5.3x+9=2.3x+15 solve for x

x=2

200

3-2x=5x

What is the variable?

What is the constant?

What are the like terms? 

variable: x

Constant: 3

Like terms: -2x, 5x

300

3x+15=4x+12 solve for x

x=3

400

2/3x+4=2x+1/5 solve for x

x=2.85

or 

x=2 17/20

500

Toni has $1,250 each week she puts in$27.50 in her bank and Joe has $1,400 and each week he deposits $20. When will they have the same about in their account? 

set up 1250+27.5x=1400+20x

x= 20 weeks they will have the same bank balance.

Mystery :)

100

x+5=15

x=10

200

x-3=12

x=15

300

2x=10

x=5

400

-5x=30

x=-6

500

x/-2=10

x=-20