Warm Up
Write and solve an equation:
The length of the rectangle is twice the width. If the length is increased by 4 inches and the width is decreased by 1 inch, a new rectangle is formed whose perimeter is 198 inches. Find the dimensions of the original rectangle. 1
UNIT 2 DAY 8
Day 8: Modeling One­Variable Equations
1. A parking garage charges a $2.50 base fee plus an hourly rate for each hour. If a person parks at this garage for 3 hours, the total charge is $19.00. Using r to represent the hourly rate, write and solve an equaon to determine the hourly rate. 2
2. When 3 times a number is decreased by 3, the result is the same as 13 subtracted from five times the number. Find the number.
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3. Justin is now three times as old as Arthur. In 10 years, Justin will be twice as old as Arthur will be then. Find their present ages.
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4. Marion is twice as old as Judy. Six years ago, Marion was three times as old as Judy was then. Find the age of each girl now.
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5. The sum of three consecutive integers is 72. Find the three integers. 6
6. Find three consecutive odd integers such that the sum of the first and second is 27 less than the third integer.
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7. Bill has 4 times as many quarters as dimes. In all, he has $2.20. How many coins of each type does he have?
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8. The length of a rectangle is 5 inches more than its width. If the perimeter of the rectangle is 66 inches, find the dimensions of the rectangle.
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9. The perimeter of a rectangular skating rink is 530 feet. IF the length is 5 feet more than 3 times the width, what are the dimensions?
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10. John has four more nickels than dimes in his pocket, for a total of $1.25. Which equation could be used to determine the number of dimes, x, in his pocket?
(1) 0.10(x + 4) + 0.05(x) = $1.25
(2) 0.05(x + 4) + 0.10(x) = $1.25
(3) 0.10(4x) + 0.05(x) = $1.25
(4) 0.05(4x) + 0.10(x) = $1.25
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