Solve each equation for the given variable.1. -2x + 5y = 12, for y 2. a – 2b = -10, for b 3. mx + 2nx = p, for x 4. C = 5/9 (F – 32), for FJonah is planting a rectangular garden. the perimeter of the garden is 120 yd, and the width is 20 yd. What is the length of the garden?

•38 = 2a + 54 Ans. -8•18.9 = 23.9 Ans. 9•3 = 1/2b + 11 Ans. -16•8(h – 1) = 6h + 4 2h Ans. No Solution•c + 3 =15 Ans. 72 5

Solve and graph each inequality:1.p – 4 <12.8 ≥ d -23.y + 5 < -74.4 + c > 75.A cyclist takes her bicycle on a chairlift to the top of a slope. The chairlift can safely carry 680lb. the cyclist weighs 124 lb, and the bicycle weighs 32 lb. What are the possible additional weights the chairlift can safely carry?

GuitarsYou paid $600 for a new guitar. Your guitar cost $40 more than twice the cost of your friend’s guitar. How much did your friend’s guitar cost?

Real World ApplicationsDuring election campaigns, candidates need

to know how people in their area will vote. Since it is not possible to speak to all of the voters, candidates use polls to help find this information. A sampling of voters is asked how they will vote and, based on the results; a projection is made on how the election will turn out.

Facts:Since the results are projections, the accuracy depends on how many people were asked. The more people that are randomly asked, the better the accuracy of the projections.

Figuring out the answer…Suppose a candidate is projected to get 48% of the votes, and the poll’s results are accurate to within +/-4%. This means the candidate should receive somewhere between 44% (48% - 4%) and 52% (48% + 4%). Using a compound inequality with x representing the percent of the vote received, we write 44 ≤ x ≤ 52. This means that x is somewhere between 44% and 52%. Will the candidate win? It is too close to know at this time and we will have to wait until the election!!

Check this out…

http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-017s.html

And this...

http://www.phschool.com/atschool/academy123/english/academy/123_content/wl-book-demo/ph-175s.html

PracticeA shuttle bus at a national park carries a maximum of 40 people.a.b.x > 40

c.x < 40

d.

1. m - 3 < -172. -9 + d > 93. -x – 11 ≥ 23