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ACT Problem

ACT Problem. Yvette has 5 more nickels than dimes. If the value of her money is $1.30, how many coins of each kind does she have ? 12 dimes and 7 nickels 5 dimes and 16 nickels 5 dimes and 10 nickels 7 dimes and 12 nickels 3 dimes and 20 nickels. ACT Problem.

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ACT Problem

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  1. ACT Problem Yvette has 5 more nickels than dimes. If the value of her money is $1.30, how many coins of each kind does she have? • 12 dimes and 7 nickels • 5 dimes and 16 nickels • 5 dimes and 10 nickels • 7 dimes and 12 nickels • 3 dimes and 20 nickels

  2. ACT Problem Yvette has 5 more nickels than dimes. If the value of her money is $1.30, how many coins of each kind does she have? Now, there are only two cases where there are five more nickels than dimes: • 12 dimes and 7 nickels • 5 dimes and 16 nickels • 5 dimes and 10 nickels • 7 dimes and 12 nickels • 3 dimes and 20 nickels

  3. Act Problem Now, we will evaluate the two equations to find which is equal to $1.30. C. 5 dimes and 10 nickels = 5x(.10) + 10x(.05) = $1.00 D. 7 dimes and 12 nickels = 7x(.10) + 12x(.05) = $1.30 D is the only one that works.

  4. ACT Problem Thus, going back. Yvette has 5 more nickels than dimes. If the value of her money is $1.30, how many coins of each kind does she have? • 12 dimes and 7 nickels • 5 dimes and 16 nickels • 5 dimes and 10 nickels • 7 dimes and 12 nickels • 3 dimes and 20 nickels

  5. Slope-Intercept Form

  6. Friday Test (#1-12) Graph line segments, find their slope and tell whether they are parallel, perpendicular or neither (#13-24) Find distance and slope (#25-26) Distance challenge problems Bonus – Multidimensional distance problem

  7. Challenge Problem Review Name a point that is away from (1,1)? Now, = = . = 4. So, = 2. = 1. So, = 1. Thus, a final answer would (2,3).

  8. Challenge Problem Review Name a point that is 5 units away from (1,2)? Recall that we can simply count distances of segments with a slope of 0 or undefined. So, let us keep the y the same and go over five. Consequently, we get the answer (6,2).

  9. More Examples OriginalParallelPerpendicular

  10. Quadrants

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