1.hannah walked the same number of miles each day for 5 days. let m represent the total number of miles hannah walked. write a linear expression for the total number of miles she walked. 2.jimmy brought 2 books per day to the book drive. peter brought 4 books per day to the book drive. let d represent the number of days of the book drive. write a linear expression to represent the total number of books they brought. 3.patricia buys clothes that are on sale with a 30% discount. let c represent the cost of the clothes. write a linear expression for the cost of the clothes. 4.a family of four had dinner together at a restaurant. write two expressions for calculating their total bill if they leave a 15% tip. let c represent the cost of their meal before tipping. 5.tommy has $40 in his pocket. he sees a pair of pants that cost $37 and wants to buy them. if there's 10% sales tax where tommy lives, can he afford to buy the pants? write a linear expression and use it to solve the problem. 6.add the expressions x + 18 and 3x − 12. 7.subtract 3x − 4 from 5x + 7. 8.subtract −4x + 1 from x − 2.

1) Given m represent the total number of miles Hannah walked.

Let us assume Hannah walked x miles each day.

So total number of miles Hannah walked in 5 days is m=5x.

2)Given Jimmy brought 2 books per day and Peter brought 4 books per day.

If d is the number of days the book drive, total number of books they brought

        =total number books brought by Jimmy+ total number of books brought by Peter                                                                          

        = 2d+4d = 6d

3) Given that c represent cost of the clothes.

Then 30% discount = 0.3c

Hence cost of the clothes = c-0.3c = 0.7c

4) Given c represent the cost of their meal before tipping.

And tip is 15% of the cost.

Hence tip = 0.15c

Hence total bill = c+0.15c=1.15c

5) Given that Tommy had 40$ in his pocket.

And pair of pants cost 37$ with 10% sales tax.

Hence cost of pants including sales tax = 37+37*0.1 = 40.1$ >40$

Hence Tommy cannot afford the pants with 40$ in his pocket.

For following problems, we should group the like terms together and then simplify.

6) (x+8)+(3x-12) = (x+3x)+8-12 = 4x-4

7) 5x+7-(3x-4) = 5x+7-3x+4 = (5x-3x)+7+4 = 2x+11

8) (x-2)-(-4x+1)=x-2+4x-1 = (x+4x)-2-1 = 5x-3

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