OL Flex Week 6 Lesson and Practice

​Writing Equations from Word Problems

Can you identify the variable and coefficient in this problem? (each/every/per)

Subject | Subject

Some text here about the topic of discussion

Desia is writing code for an assignment in her computer science class. She started today with 70 lines of code and can write 45 lines per class period. Write an equation that could be used to determine how many class periods, p, it will take her to reach 250 lines of code.

Multiple Choice

Desia is writing code for an assignment in her computer science class. She started today with 70 lines of code and can write 45 lines per class period. Write an equation that could be used to determine how many class periods, p, it will take her to reach 250 lines of code.

Select the variable and coefficient pair below.

• 78p

• 45p

• 250p

• 10p

Can you identify the variable and coefficient in this problem? (each, every, per)

Nita's coworkers gave her money to bring breakfast for everyone. She spent $19 on bagels, cream cheese and juice. The rest was spent on grapes which were on sale for $1.47 per pound. Her total came to $23. How many pounds of grapes (g) did Nita purchase?

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

Nita's coworkers gave her money to bring breakfast for everyone. She spent $19 on bagels, cream cheese and juice. The rest was spent on grapes which were on sale for $1.47 per pound. Her total came to $23. How many pounds of grapes (g) did Nita purchase?

What is the coefficient and variable pair?

• 19g

• 20.47g

• 23g

• 1.47g

​Can you identify the variable and coefficient in this problem? (each, every, per)

Joey wants to go to basketball camp that costs $192. She has already saved $42 and will work for $7.50 per hour to earn the rest of the money. How many hours does Joey need to work?

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

Joey wants to go to basketball camp that costs $192. She has already saved $42 and will work for $7.50 per hour to earn the rest of the money. How many hours does Joey need to work?

Select the coefficient variable pair below.

• 7.50h

• 42h

• 192h

• 49.5h

Multiple Choice

The Harris County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equation could be used to determine how many rides you would need to go on for both fairs to be of equal value?

• 15x + 2.5 = 10x + 3

• 15 + 2.5x = 10 + 3x

• 15-2.5x = 10

• 15 - 10 = 2.5x +3x

Multiple Choice

At Gamestop you can buy an Xbox One for $150.00 and each game to go with it would cost $24. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00 Write an equation to determine how many games would need to be purchased for the cost to be equal.

• 150x + 24 = 180 + 20x

• 180 - 150 = 24x + 20x

• 150 + 24x = 180 + 20x

• 150 - 24x = 180 - 20x

Multiple Choice

Uber charges $8.00 to get into the car and $0.75 per mile. Lyft charges $6.00 to get into the car and $1.25 per mile. How many miles would your trip need to be for Uber and Lyft to cost you the same amount?

• 0.75 + 8x = 1.25 + 6x

• 6 + 0.75x = 8 + 1.25x

• 1.25x + 0.75x = 14

• 8 + 0.75x = 6 + 1.25x

Multiple Choice

Joe's Canoes charges an initial fee of $20 plus $4 an hour. Callie's Canoes charges a flat rate of $14 an hour. Choose the equation that would find the number of hours that the total for both places would charge the same.

• 4x + 20 = 14x

• 24x = 14x

• 4x - 20 = 14x

• 20 + 4x = 14

Multiple Choice

Tyreke and De'Marius are starting a nutrition program. Tyreke currently consumes 1,200 calories and will increase that number by 100 each day. De'Marius is consuming 3,230 calories and will decrease that number by 190 each day. They will continue this pattern until they are consuming the same number of calories per day. Write an equation that would represent this.

• 10x+1,200 = 190x+3,200

• 10x+1,200 = -190x+3,230

• -10x+1,200 = 190x-3,230

• 10x+1,200 = 190x-3,200

Multiple Choice

Aquarium I contains 4.6 gallons of water. Louise will begin filling Aquarium I at a rate of 1.2

gallons per minute. Aquarium II contains 54.6 gallons of water. Isaac will begin draining Aquarium II at a rate of 0.8 gallons per minute. After how many minutes will both aquariums contain the same amount of water?

• 1.2x + 4.6 = -0.8x + 54.6

• 1.2x - 4.6 = 0.8x - 54.6

• -1.2x + 4.6 = -0.8x + 54.6

Multiple Choice

Carnival M charges an entrance fee of $5.00 and 65 cents per ticket for the rides. Carnival P charges an entrance fee of $10.00 and 45 cents per ticket for the rides. How many tickets must be purchased in order for the total cost at Carnival M and Carnival P to be the same?

• .65x - 5.00 = .45x + 10.00

• 65x + 5.00 = 45x + 10.00

• .65x + 5.00 + .45x + 10.00

Multiple Choice

Penny charges $5 per hour for babysitting, plus a flat fee of $12 for her travel expenses. Charlene charges $3 per hour for babysitting, plus a flat fee of $18 for her travel expenses. Write and solve an equation to determine the number of hours each babysitter must work to earn the same amount?

• 5x + 12 = 3x + 18

• -5x + 12 = -3x + 18

• 5x - 12 = 3x - 18