1. write a word problem that can be solved using a system of linear equations. T
ID: 3100163 • Letter: 1
Question
1. write a word problem that can be solved using a system of linear equations. Then solve the problem.2.Explain the similarities and differences between a linear equation and a linear inequality.
3.An Algebra student incorrectly used the distributive property and wrote
3(2x-5) + 6x-5. If you were that student's teacher, what would you say to help the student avoid this kind of error?
4. What is the difference between solving an equation such as 2(y-4) + 5y= 34 and simplifying and algebraic expression such as 2(y-4)+ 5y? If there is a difference, ehich topic should be taught first? Why?
Explanation / Answer
1. A computer online service charges one hourly price for regulat use but a higher hourly rate for designated "Premium" areas. One customer was charged $28 after spending 2hours in premium areas and 9 regular hours; another spent 3 hours in the premium areas and 6 regular hours and was charged $27. What does the online service charge per hour for regular and premium services? 2P + 9R = 28 3P + 6R = 27 by substitution 2P+9R=28 P-3R=-1 P=3R-1 2(3R-1) +9R =28 15R-2=28 15R=30 R=2 P=3(2)-1 = 5 R=$2/hour P=$5/hour
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