Question 1

At the grocery store, each package of potatoes costs d, dollars.  Which situation can be represented by this inequality?

6d < 2d + 4

Accepted Answer

The cost of 6 packages of potatoes costs less than the cost of 2 packages of potatoes and a $4 bottle of shampoo.

Answer

The cost of 6 packages of potatoes costs less than or equal to the cost of 2 packages of potatoes and a $4 bottle of shampoo.

Answer

The cost of 6 packages of potatoes costs greater than or equal to the cost of 2 packages of potatoes and a $4 bottle of shampoo.

Answer

The cost of 6 packages of potatoes costs more than the cost of 2 packages of potatoes and a $4 bottle of shampoo.

Question 2

Which situation can be represented by the equation?  5x + 4 =10x

Accepted Answer

Jack rode his bike at a constant rate of 5 miles per hour in a race and started 4 miles in front of starting line.  Jill rode her bike at a constant rate of 10 miles per hour.  What is x, the number of hours that Jack and Jill would have to ride their bikes in order for their distances to be the same?

Answer

Jack makes tacos at his job and he makes 10 tacos an hour with 4 already made.  Jill makes tacos at her job and makes 5 tacos an hour.  What is x, the number of hours that Jack and Jill would have to work in order for them to have made the same number of tacos?

Answer

Jack went to the Ellis county fair and he paid $5 a ride and he had a coupon for $4 off.  Jill went to the Tarrant county fair and paid $10 a ride.  How many rides, x, would Jack and Jill have to ride in order for them to pay the same amount of money?

Answer

Jack makes $5 dollars an hour waiting tables at a restaurant.  Jill makes $10 an hour and gets an extra $4 off of tips.  How many hours would Jack and Jill have to work in order for them to make the same amount of money?

Question 3

Which situation can be represented by the equation?

1200 – 20x = 800 – 5x

Accepted Answer

Plane A starts at a height of 1200 feet and descends at a rate of 20 feet per minute.  Plane B starts at a height of 800 feet and descends at a rate of 5 feet per minute.  How many minutes, x,  will it take for the two planes to reach the same height?

Answer

A bucket of water has 1200 fluid ounces of water in it and it drains at a rate of 5 fluid ounces a minute.  A second bucket of water has 800 fluid ounces of water and it drains at a rate of 20 fluid ounces a minute.  How many minutes, x,  will it take for the two buckets to have the same amount of water?

Answer

Jonathan has a bank account of $800 and makes $5 an hour.  Felicity has $1200 and spends $20 an hour.  How many hours, x,  will it take for Jonathan and Felicity to have the same amount of money?

Answer

Susan collects baseball cards.  She has 1200 baseball cards and gains 20 cards a month.  Jessica collects baseball cards.  She has 800 cards and gains 5 cards a month.  How many months, x,  will it take for Susan and Jessica to have the same amount of baseball cards?

Question 4

Which situation can be represented by the following inequality?

500 + 45x ≥ 1300 – 15x

Accepted Answer

Adam has $1300 in his bank account and he spends $15 a day.  Zack has $500 in his bank account and he earns $45 a day.  How many days, x, will it take for Zack to have at least as much money in his account as Adam?

Answer

Adam has $1300 in his bank account and he earns $15 a day.  Zack has $500 in his bank account and he earns $45 a day.  How many days, x, will it take for Zack to have at least as much money in his account as Adam?

Answer

Adam has $1300 in his bank account and he spends $15 a day.  Zack has $500 in his bank account and he earns $45 a day.  How many days, x, will it take for Adam to have at least much money in his account as Zack?

Answer

Adam has $1300 in his bank account and he earns $15 a day.  Zack has $500 in his bank account and he earns $45 a day.  How many days, x, will it take for Adam to have at least much money in his account as Zack?

Question 5

Which situation can be represented by the following inequality?

5x + 4 < 3x + 14

Accepted Answer

Zoe and Sasha are in a hot dog eating contest.  Zoe eats 5 hot dogs a minute and has already eaten 4 hot dogs.  Sasha eats 3 hot dogs a minute and has already eaten 14 hot dogs.  How many minutes, x, will it take for Sasha to have eaten more hot dogs than Zoe?

Answer

Zoe and Sasha are in a hot dog eating contest.  Zoe eats 5 hot dogs a minute and has already eaten 14 hot dogs.  Sasha eats 3 hot dogs a minute and has already eaten 5 hot dogs.  How many minutes, x, will it take for Sasha to have eaten less hot dogs than Zoe?

Answer

Zoe and Sasha are in a hot dog eating contest.  Zoe eats 5 hot dogs a minute and has already eaten 14 hot dogs.  Sasha eats 3 hot dogs a minute and has already eaten 5 hot dogs.  How many minutes, x, will it take for Sasha to have eaten more hot dogs than Zoe?

Answer

Zoe and Sasha are in a hot dog eating contest.  Zoe eats 5 hot dogs a minute and has already eaten 4 hot dogs.  Sasha eats 3 hot dogs a minute and has already eaten 14 hot dogs.  How many minutes, x, will it take for Sasha to have eaten less hot dogs than Zoe?

Question 6

Which situation can be represented by the following equation?

50x + 100 = 100x + 50

Accepted Answer

Heather has 100 types of yarn and she gains 50 types of yarn every month.  Susan has 50 types of yarn and she gains 100 types of yarn every month.  How many months, x, will it take for Heather and Susan to have the same amount of yarn?

Answer

Heather has 100 types of yarn and she loses 50 types of yarn every month.  Susan has 50 types of yarn and she gains 100 types of yarn every month.  How many months, x, will it take for Heather and Susan to have the same amount of yarn?

Answer

Heather has 100 types of yarn and she loses  50 types of yarn every month.  Susan has 50 types of yarn and she loses 100 types of yarn every month.  How many months, x, will it take for Heather and Susan to have the same amount of yarn?

Answer

Heather has 100 types of yarn and she gains 50 types of yarn every month.  Susan has 50 types of yarn and she loses 100 types of yarn every month.  How many months, x, will it take for Heather and Susan to have the same amount of yarn?

Question 7

Which situation can be represented by the following inequality?
25 – 2x ≥ 10 + x

Accepted Answer

Adam has 25 customers but he loses 2 customers every year.  Bert has 10 customers and he gains one customer every year.  How many years, x, will Adam have as many or more customers than Bert?

Answer

Adam has 25 customers but he loses 2 customers every year.  Bert has 10 customers and he gains one customer every year.  How many years, x, will Adam more customers than Bert?

Answer

Adam has 25 customers but he loses 2 customers every year.  Bert has 10 customers and he gains one customer every year.  How many years, x, will Bert have as many or more customers than Adam?

Answer

Adam has 25 customers and he gains 2 customers every year.  Bert has 10 customers and he gains one customer every year.  How many years, x, will Adam have as many or more customers than Bert?

Question 8

Which situation can be be represented by the following equation?

-15x + 800 = -10x + 500

Accepted Answer

Eric has 500 pieces of candy and he eats 10 every minutes.  Harvey has 800 pieces of candy and he eats 15 every minute.  How many minutes, x, will it take for Eric and Harvey to have the same amount of candy?

Answer

Hot Air Balloon A is at an altitude of 800 feet and it is descending at a rate of 10 feet per minute.  Hot Air Balloon B is at an altitude of 500 feet and it is descending at a rate of 15 feet per minute.  How many minutes, x, will it take for the two hot air balloons to have the same height?

Answer

Frankie has $500 in his checking account and he withdraws $10 from his account every day.  Isaac has $800 in his checking account and he deposits $15 into his account every day.  How many days, x, will it take for Frankie and Isaac to have the same amount of money in their account?

Answer

A bucket of water holds 500 ounces of water.  It is leaking at a rate of 15 ounces per hour.  Another bucket of water has 800 ounces of water and is leaking at a rate of 10 ounces per hour.  How many hours, x, will it take for the two buckets to hold the same amount of water?

Question 9

Which situation can be represented by the following inequality?

4x + 20 ≤ 8x + 4

Accepted Answer

Sonny has 20 marbles and he buys 4 marbles every day.  Zachary has 4 marbles and he buys 8 marbles every day.  How many days, x, will it take for Sonny to have at most as many marbles as Zachary?

Answer

Sonny has 20 marbles and he buys 4 marbles every day.  Zachary has 4 marbles and he buys 8 marbles every day.  How many days, x, will it take for Zachary to have at most as many marbles as Sonny?

Answer

Sonny has 20 marbles and he buys 4 marbles every day.  Zachary has 8 marbles and he buys 4 marbles every day.  How many days, x, will it take for Zachary to have at most as many marbles as Sonny?

Answer

Sonny has 4 marbles and he buys 20 marbles every day.  Zachary has 4 marbles and he buys 8 marbles every day.  How many days, x, will it take for Sonny to have at most as many marbles as Zachary?

Question 10

Which situation can be represented by the following equation?

20x + 1000 = 30x + 600

Accepted Answer

Summerville Middle School has 1000 students and it gains 20 students every month.  Winterville Middle School has 600 students and it gains 30 students every month.  How many months, x, will it take for the two middle schools to have the same amount of students?

Answer

Summerville Middle School has 600 students and it gains 20 students every month.  Winterville Middle School has 100 students and it gains 30 students every month.  How many months, x, will it take for the two middle schools to have the same amount of students?

Answer

Summerville Middle School has 600 students and it loses 20 students every month.  Winterville Middle School has 100 students and it loses 30 students every month.  How many months, x, will it take for the two middle schools to have the same amount of students?

Answer

Summerville Middle School has 1000 students and it loses 20 students every month.  Winterville Middle School has 600 students and it loses 30 students every month.  How many months, x, will it take for the two middle schools to have the same amount of students?

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