Algebra 2 1.6 Pinkston SAT Question What is the greatest possible sum of three consecutive even...
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Transcript of Algebra 2 1.6 Pinkston SAT Question What is the greatest possible sum of three consecutive even...
SAT QuestionWhat is the greatest possible sum of three consecutive even integers whose product is zero?A.-6B.-3C.0D.3E.6
Zero has to be one of the numbers, so the possibilities are:
-4, -2, 0-2, 0, 20, 2, 4
The one that gives the greatest sum is the last one: sum is 6.
On Wednesday, Harry picked 3 times as many quarts of berries as on Tuesday. On Thursday, he picked 5 times as many quarts as on Tuesday. In all he picked 153 quarts. Find the number he picked each day.
The heading defines the variables needed to solve the problem.
x is the variable we know the least about.
On Wednesday, Harry picked 3 times as many quarts of berries as on Tuesday. On Thursday, he picked 5 times as many quarts as on Tuesday. In all he picked 153 quarts. Find the number he picked each day.
For this problem, we need to make variables for:TuesdayWednesdayThursday
Which one do we know the least about?
x3x
5x
On Wednesday, Harry picked 3 times as many quarts of berries as on Tuesday. On Thursday, he picked 5 times as many quarts as on Tuesday. In all he picked 153 quarts. Find the number he picked each day.
“In all” means add up all the variables for each day.
3 5 153x x x
On Wednesday, Harry picked 3 times as many quarts of berries as on Tuesday. On Thursday, he picked 5 times as many quarts as on Tuesday. In all he picked 153 quarts. Find the number he picked each day.
For this problem, we need to make variables for:TuesdayWednesdayThursday
x3x
5x
17 quarts of berries3(17) 51 .qts
5(17) 85 .qts
TuesdayWednesdayThursday
x3x
5x
17 berries3(17) 51 berries
5(17) 85 berries
We can check it by adding the three answers together
to see if we get 153.
Example 2
The time that a traffic light remains yellow is 1 second more than 0.05 times the speed limit. What is the yellow time for a traffic light on a street with a speed limit of 30 mi/h? Heading:
x = yellow timey = speed limit
Equation:x = 1+.05y (Substitute 30 for y)x =1+.05(30)
Example 3
It has been found that the world record for the men’s 10,000 meter run has been decreasing steadily since 1950. The record is approx. 28.87 minutes minus .05 times the number of years since 1950. Assume the record continues to decrease in this way. Predict what it will be in 2010.
Heading:x = world recordy = years since 1950
Equation:x = 28.87 - .05y
To find the percent of increase or decrease:
Amount of increase or decreaseOriginal number
Example 3:16/p. 33. In 1995 the average American ate 48.8 lb of chicken. This was 6.3 lb more than the average in 1990. What was the percent of increase in chicken consumption from 1990 to 1995?
Amount of increase or decrease Original number
6.3 42.5
= 48.8 – 6.3 14.8%
In 1990 In 1995
48.8
Increase
?? 6.3
SAT QuestionIf x and y are negative integers, which of the following must be positive?A. x + yB. x – yC. y – xD. – (x – y)E. – (x + y)
A. (-) + (-) is negativeB. (-) – (-) could be negative
or positiveC. Same as aboveD. - [(-) - (-)] could be eitherE. - [(-) + (-)] is definitely
positive!
Solve and write answer in set notation:1.
2.
Quiz. Copy the problems and write the answer.
Put your grade paper on the front of your row, quiz side down.
37
5x
5 3 11a a