Math 010: Word problems & Exam Review Part I October 16, 2013

Verbal expressions – Key points

Layered verbal expressions  Look at the first part of the expression, up to the first “math term”  That will be the “outside”/”main” operation, all others go “inside”  Example: “Six times the difference between y and eight”  Six times the difference between y and eight  So multiplying by 6 is the “outside” operation  y-8 goes on the inside  6(y-8)

“Twice the sum of three and w”  First math term is Twice  Multiplying by 2 is the “outside” operation  “Sum of three and w” is on the inside  2(3+w)

“The quotient of nine times k and seven”

“The total of twice q and five”  First math term is total  Addition must contain two terms, what two things are being added together?  “twice q” and “five”  2q + 5

“Seven subtracted from the product of eight and d”  First math term is “subtracted from”  “Product of eight and d” = 8d on the “inside”  Don’t forget it’s reverse order  8d - 7

“five less than the product of n and eight”  First math term is less than  Five less than something – what?  “the product of n and eight” = 8n  REVERSE ORDER!  8n - 5

“the quotient of r and the sum of r and four”

FRACTIONS REVIEW

Squaring fractions: #29-30 on practice test

Word problem #2 on practice test

#6  A campground is charging $14 for each RI resident and $18 for each out-of-state resident.  Write a variable expression that shows the total amount charged, letting x represent the number of RI residents and y represent the number of out-of-state residents.  What operation to calculate cost at the each rate?  Multiply $14 by number of RI residents -> $14x  Multiply $18 by number of out-of-state -> $18y  Now add the two costs together  $14x + $18y  Don’t forget the dollar signs – worth 1 point on exam

#7  Use the expression you wrote in the last problem to calculate the total amount charged for two RI residents and three out-of-state residents.  $14x + $18y  x = 2; y = 3  Plug in each value  $14(2) + $18(3)  Order of operations: multiply first  $28 + $54 = $82  Don’t forget the dollar signs

#11  I bought three concert tickets, all equally priced. I paid $63.60 for all three tickets.  What was the cost of each ticket? Write an equation, and solve.  3 concert tickets = $63.60  Let x represent the cost of one ticket  3x = $63.60  To solve, get x alone  Divide each side by 3  x = $21.20  Don’t forget the dollar sign.

# square yards

#23  Shawn was checking out at Old Navy when he noticed his receipt total was $46.61, which was more than he thought he was spending. He realized he had been charged for an extra item, which was $7.99. With the extra item taken out, what was Shawn’s actual total?  (There is no sales tax on any items.) Set up the problem correctly and solve.  The extra item must be removed from the total.  Removed means SUBTRACTED  $ $7.99 = $38.62

Work on the practice test alone or in pairs.  See me if you have not gotten your Exam #1 back  Look over all questions, ask for help if you need it  Use the powerpoints from previous classes to review at home  For your quiz grade, AFTER you have looked over all problems, rate your confidence out of 5 on the following topics (5 best, 1 worst):  Fractions  Simplifying algebraic expressions  Verbal -> variable expressions  Graphing inequalities  Decimals  Word problems