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P2.2: Creating Eqn/Ineq from Words

Last updated almost 4 years ago

14 questions

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Question 1

1.

To ride a taxi, Tiffani must pay $2.00, plus $0.15 per mile. Write an equation to model the situation, with x as the number of miles and y as the total cost.

Write the equation in slope intercept form, with the y on the left side of the equation. No spaces or "$".

Question 2

2.

To ride a taxi, Tiffani must pay $2.00, plus $0.15 per mile.

If her cost was $3.20, how many miles did she ride?

Enter your answer as a number, no spaces.

Question 3

3.

In town, it takes about 15 minutes (a quarter hour) to cover 1 mile. Tiffani has already been away from home for a 2-hour movie. Write an equation to model the situation, with x as the number of miles Tiffani travels in the taxi and y as the total time she has spent away from home, in hours.

Write the equation in slope intercept form, with the y on the left side of the equation. No spaces. Use fractions, not decimals.

Question 4

4.

On a certain trip, the taxi rides on two different types of streets: 25 mph streets and 40 mph streets. Overall, the taxi travels 8 miles. Write an equation to model the situation, with x as the number of hours spent on the low-speed road and y as the number of hours spent on the high speed road.

Write the equation in standard form (Ax+By=C) No spaces. Use fractions, not decimals.

Question 5

5.

Tiffani realizes she will need $17.20 for her taxi trip. She only has quarters and nickels. Write an inequality to model the situation, with x as the # of quarters and y as the # of nickels.

Write the inequality in standard form (Ax+By ? C, where ? is an inequality symbol). No spaces. Use numbers to two decimal places, no "$".

Question 6

6.

The perimeter of a rectangular garden is 23 meters. Write an equation to model the situation, with x as the width in meters and y as the length in meters.

Write the equation in standard form. No spaces.

Question 7

7.

The perimeter of a rectangular garden is 23 meters. If the width is 4 meters, what is the length?

Enter your answer as a number with one decimal place.

Question 8

8.

On one side of the garden, there is an 2 m opening for a gate. Every 3 meters on the rest of the side, there is a fence post. Write an equation to model the situation, with x as the number of fence posts and y as the total length of the side.

Write the equation in slope intercept form, with the y on the left side of the equation. No spaces. Use fractions, not decimals.

Question 9

9.

Xavier can put in 3 fence posts each hour. Every so often, though, an orc comes and digs up one of the fence posts. At the end of the day, there are 5 fence posts standing. Write an equation to model the situation, with x as the number of hours Xavier worked and y as the number of posts the orc dug up.

Write the equation in standard form. No spaces. Use fractions, not decimals.

Question 10

10.

To defeat the orc, Xavier must have a greater strength level than the orc. Xavier's current strength level is 3, and he gains 2 levels for week spent training. Write an inequality to model the situation, with x as the number of weeks Xavier should train to defeat the orc and y as the strength of the orc.

Write the inequality in slope intercept form, with the y on the left side of the equation. No spaces. Use fractions, not decimals.

Question 11

11.

Nicole walks about 5 miles each week at work. She also walks a certain amount each day after work Write an equation to model the situation, with x as the number of miles she walks each day after work and y as her total miles for the week.

Write the equation in slope intercept form, with the y on the left side of the equation. No spaces. Use fractions, not decimals.

Question 12

12.

In one hour, Nicole can walk 3 miles. In one hour, she can run 6 miles. On a certain day, Nicole covers 20 miles. Write an equation to model the situation, with x as the hours spent walking that day and y as the hours spent running that day.

Write the equation in standard form. No spaces. Use fractions, not decimals.

Question 13

13.

Nicole wants to beat her sister's marathon time. Nicole's current marathon time is 6 hours. Every month she trains, she shaves off 12 minutes (1/5 hour). Write an inequality to model the situation, with x as the months spent training to beat her sister and y as Nicole's sister's marathon time.

Write the inequality in slope intercept form, with the y on the left side of the equation. No spaces. Use fractions, not decimals.

Question 14

14.

Nicole wants to lose weight. To keep the same weight, she needs to eat 2000 calories. A small order of fries is about 250 cal, and running one mile burns about 100 cal. Write an inequality to model the situation, with x as the number of small fries Nicole should eat and and y as the number of miles she should run.
Write the inequality in standard form. (Ax+By ? C, where ? is an inequality symbol). No spaces. Use fractions, not decimals.