Lesson 25 Mr. Jones

S.W.B. A.T: Translate words to an algebraic inequality and solve the inequality.

DO NOW: Write and solve an inequality for the following.

Example 1: Define the variable, write an inequality, and solve an inequality.

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a) Five times a number, decreased by 24, is greater than 3 times the number. Find the least possible number.

b) The length of rectangle is 5 cm more than its width. The perimeter of the rectangle is at least 66 cm. Find the minimum measures of the length and the width.

c) Carol weighs 3 times as much as Sue. Both weights are whole numbers. The sum of their weight is less than 160 pounds. Find the greatest possible weight in pounds for each girl.

d) The greater of two numbers is 8 more than three times the smaller. Their sum is at least 28. Find the smallest possible values of the numbers.

Exercise 1: Define the variable, write an inequality, and solve an inequality.

a)Three times a number increased by 8 is at most 40 more than the number. Find the greatest value of the number.

b)A club agreed to buy at least 250 tickets for a theatre party. If it agreed to buy 80 less orchestra tickets than balcony tickets, what was the least number of balcony tickets it could buy?

c)A-Plus Advertising charges a fee of $24 plus $0.10 per flyer to print and deliver flyers. Print and More charges $0.25 per flyer. For how many flyers is the cost at A-Plus Advertising less than the cost at Print and More?

d) Three-fourths of a number is greater than or equal to five less than the number. Find the number.

EXIT:

Write a real-world situation that could be modeled by the inequality 7x + 4 > 4x + 13.

Describe the solution to the inequality. The solution should relate to your real-world situation.

Lesson 25 HOMEWORK

Solve each of the following word problems.

  1. The sum of a number and twenty is less than four times the number decreased by one. Find the number.
  1. Hanna has a savings account with a balance of $210 and deposits $16 per month. Faith has a savings account with a balance of $175 and deposits $20 per month. Determine the number of months Hanna’s account balance will be greater than Faith’s account balance.
  1. Mrs. Scott decided that she would spend no more than $120 to buy a jacket and a skirt. If the price of the jacket was $20 more than 3 times the price of skirt, find the highest possible price of the skirt.
  1. Two consecutive even numbers are such that their sum is greater than 98 decreased by twice the larger. Find the smallest possible values for the integers.

6) The length of a rectangle is 10 cm less than 3 times its width. If the perimeter of the rectangle is at most 180 cm, find the greatest possible length of the rectangle.