Linear Inequalities Word Problems

 jimmyling@

Linear Inequalities Word Problems

1. Alan needs to save at least $140 before he has enough money to his computer. (a) Given he saves $20 every week, find the amount of money he will have in x weeks. (b) By forming an inequality in x, find the least integral numbers of weeks needed for

him to save up before buying the computer.

2. Jessie scored 65, 69 and x marks for her English, Science and Mathematics test respectively. What is the minimum marks she must score for her Mathematics test in order to score an average of at least 75 for her 3 subjects?

3. A florist sells a bouquet of flowers at $32 each. If the florist wants to have a total sales of at least $500 for a particular day, she needs to sell x bouquet of flowers.

(a) Using the above information, form an inequality. (b) Solve the inequality in part (a). (c) Hence write down the minimum number of bouquets that the florist needs to sell to

have a total sale of $500.

4. Jamie and Ashley are planned to go overseas and they decided that their total expenses should $1400 or lesser. Jamie spent $230 more than half of what Ashley spent.

(a) Let the amount that Ashley spend be $x, and form an inequality. (b) Solve the inequality to find the maximum amount that Ashley spent.

5. A rectangle has width x cm and length (x + 3) cm. Given that x is an integer and its perimeter cannot be more than 82 cm.

(a) Form an inequality in x. (b) Solve the inequality. (c) Hence, find the largest possible area of the rectangle.

6. The breadth of a rectangle is given as x cm. Its length is 2 cm longer than its breadth. If the perimeter of this rectangle cannot be more than 60 cm,

(a) form an inequality in x, (b) solve the inequality, (c) hence, find the largest possible area of the rectangle.

7. x is an odd number and the sum of the next two consecutive even numbers is less than 90. By forming an inequality in terms of x, find the largest possible odd number value of x.

8. The length of a rectangle is 3 m longer than the breadth of the rectangle. The perimeter of the rectangle must be at least 34 m.

(a) Let the breadth of the rectangle be x m, write down an inequality in x. (b) Solve the inequality and find the smallest possible dimensions of the rectangle.

1|Page

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download