I know it always helps too, if you have key words that help you to write the equation or inequality. Here are a few key words that we associate with inequalities! Keep these handy as a reference. Inequality key words at least - means greater than or equal to no more than - means less than or equal to more than - means greater than less than - means less than. Let's put it into action and look at our examples. Example 1: Inequality word Problems, keith has 500 in a savings plan account at the beginning of the summer. He wants to have at least 200 in the account by the end of the summer. He withdraws 25 each week for food, clothes, and movie tickets.
I'd love to hear about them if you do! Before we look at the examples let's go over some of the rules and key words for solving word problems in Algebra (or any math shakespeare class). Word Problem Solving Strategies, read through the entire problem. Highlight the important information and key words that you need to solve the problem. Write the equation or inequality. Write your answer in a complete sentence. Check or justify your answer.
How are you with solving word problems in Algebra? Are you ready to dive into the "real world" of inequalities? I know that solving word problems in Algebra is probably not your favorite, but there's no point in learning the skill if you don't apply. I promise to make this as easy as possible. Pay close attention to the key words given below, as this will help you to write the inequality. Once the inequality is written, you can solve the inequality using the skills you learned in our past lessons. I've tried to provide you with examples that could pertain to your life and come in handy one day. Think about others ways you might use inequalities in real world problems.
Solving Inequalities number Line theMathPage
Write an inequality to represents joann's situation. How many people can joann invite to her birthday party without exceeding her limit of 100? Solutions, problem 1: Chris wants to order dvds over the internet. Let d the number of dvds purchase.99d.99 100 (This translates.99 times the number of dvds.99 shipping cost must be less than or equal to 100 dollars. How many dvds can Chris order without exceeding his limit? We need to solve:.99d.99 100.99d.99 -.99 100 -.99.99.01.99 .99.6, since Chris cannot order.6 of a writing dvd, we must round down. Chris can order 5 dvds without exceeding his limit of 100.
Problem 2: skate land charges a 50 flat fee for birthday party rental and.50 per person. Let p the number of people invited to the party.50p 50 100 (This translates.50 per person times the number of people plus 50 for the flat fee. This value must be less than or equal to 100.) How many people can joann invite to her birthday party without exceeding her limit? 5.50p 50 100.50p.50p.50 .50 p 9 joann can invite up to 9 people without exceeding her limit of 100. Keep up the good work! Now you are ready to move on to Graphing Inequalities Home inequalities inequality word Problems inequality word Problems Practice.
Then write an inequality that represents the problem. Once you've written the inequality, the hard work is done and you are ready to solve! Don't forget to check your answers at the end. This is definitely a habit that you want to set for yourself. Problem 1, chris wants to order dvds over the internet.
Each dvd costs.99 and shipping for the entire order.99. Chris has no more than 100 to spend. Write an inequality that represents Chris' situation. How many dvds can Chris order without exceeding his 100 limit? Problem 2, skate land charges a 50 flat fee for birthday party rental and.50 per person. Joann has no more than 100 to spend on the birthday party.
Solving Inequality word questions - math Is Fun
Check: say w 1, then l 81 7, and a 1 x 7 7 m2 (fits exactly 7 tables) say.9 (less shakespeare than evernote 1 then.1, and.9.1.39 m2 (7 won't fit) say.1 (just above 1 then. Did you read through the lesson. Are you ready to practice inequalities by solving these word problems? I do know the answer by now - but - i know you can do it! Now, i want you to prove it to yourself. Let's quickly recap a few things and you'll be on your way! Let's keep these key words for inequalities handy: at least - means greater than or equal to no more than - means less than or equal to more than - means greater than less than - means less than. Work through each problem slowly and start by identifying your variables.
At what times will the velocity be between 10 m/s and 15 m/s? Letters: velocity in m/s: v the time in seconds: t Formula: v 20 10t we are being asked for the time t when v is between 5 and 15 m/s: 10 v 15 10 20 10t . And a reasonably hard example to finish with: Example: A rectangular room fits at least 7 tables that each have 1 square bedroom meter of surface area. The perimeter of the room is. What could the width and length of the room be? Make a sketch: we don't know the size of the tables, only their area, they may fit perfectly or not! Assign Letters: the length of the room: L the width of the room: w the formula for the perimeter is 2(w l), and we know it is 16 m 2(w l) 16 w l 8 l 8 w we also know the area. It can be solved many way, here we will solve it by completing the square : move the number term 7 to the right side of the inequality: W2 8W 7 Complete the square on the left side of the inequality and balance this.
so: g b we are. Could there be 8 girl pups? Then there would be no boys at all, and the question isn't clear on that point (sometimes questions are like that). Check When g 8, then b 0 and g b is correct (but is b 0 allowed?) When g 7, then b 1 and g b is correct When g 6, then b 2 and g b is correct When g 5, then. He cycles a distance of 25 km, and then runs for. His average running speed is half of his average cycling speed. Joe completes the race in less than 2 hours, what can we say about his average speeds? Assign Letters: average running speed: s so average cycling speed: 2s Formulas: Speed distance / Time Which can be rearranged to: Time distance / Speed we are being asked for his average speeds: s and 2s The race is divided into two parts:. Cycling Distance 25 km average speed 2s km/h so time distance/Average speed 25/2s hours. Running Distance 20 km average speed s km/h so time distance/Average speed 20/s hours joe completes the race in less than 2 hours The total time 2 25/2s 20/s 2 Solve: Start with: 25/2s 20/s 2 Multiply all terms by 2s: 25 40 5s Simplify.
The best way to learn this is by example, so let's try our first example: Sam tree and Alex play in the same soccer team. Assign Letters: the number of goals Alex scored: A the number of goals Sam scored: s, we know that Alex scored 3 more goals than Sam did, so: a s 3, and we know that together they scored less than 9 goals: s. We are being asked for how many goals Alex might have scored: a, solve: Start with: s a 9, a s 3, so: s (S 3) 9, simplify: 2S. Subtract 3 from both sides: 2s 9 3, simplify: 2s 6 divide both sides by 2: s 3 Sam scored less than 3 goals, which means that Sam could have scored 0, 1 or 2 goals. Alex scored 3 more goals than Sam did, so Alex could have scored 3, 4, or 5 goals. Check: When s 0, then a 3 and s a 3, and 3 9 is correct When s 1, then a 4 and s a 5, and 5 9 is correct When s 2, then a 5 and s a 7, and 7. Example: Of 8 pups, there are more girls than boys. How many girl pups could there be?
Solving quadratic Inequalities - math Is Fun
Solving Inequality word questions (you might like to read, introduction to Inequalities and, solving Inequalities first.). In Algebra we have "inequality" questions like: Sam and Alex play in the same soccer team. Last hazlitt Saturday alex scored 3 more goals than Sam, but together they scored less than 9 goals. What are the possible number of goals Alex scored? How do we solve them? The trick is to break the solution into two parts: Turn the English into Algebra. Then use Algebra to solve. Turning English into Algebra, to turn the English into Algebra it helps to: read the whole thing first, do a sketch if needed. Assign letters for the values, find or work out formulas, we should also write down what is actually being asked for, so we know where we are going and when we have arrived!