P2.2: Creating Eqn/Ineq from Words

Last updated almost 4 years ago
14 questions
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 "$".

1

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.

1

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.

1

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.

1

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 "$".

1

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.

1

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.

1

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.

1

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.

1

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.

1

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.

1

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.

1

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.

1

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.