Free Printable Writing Equations & Inequalities

1.

The temperature in the ice rink must stay below 50°F. This morning, the temperature was 71°F. The ice rink runs a cooling device that can decrease the temperature by 3.5° every hour. Which inequality shows how long it will take for the temperature to fall below 50°F?

a)

50 + 3.5x < 71

b)

71 - 3.5x < 50

c)

71 - 3.5x ≤ 50

d)

71 + 3.5x < 50

2.

The vet told Casey that her dog should weigh at most 70 lbs. Her dog weighs 106 pounds, so Casey set a goal that he would lose 4 pounds per week. Which inequality represents the number of weeks it take for Casey's dog to reach 70 lbs?

a)

106 - 4x ≤ 70

b)

70 + 4x ≤ 106

c)

4x - 106 ≥ 70

d)

106 - 4x< 70

3.

The members of Indian Spring Middle School's cheerleaders need to raise at least $2000 to attend their national competition. They raised $300 with their last fundraiser and decide to host a school talent show to raise the rest. They plan to charge $10 for each ticket. Which inequality shows the number of tickets they must sale to reach their goal?

a)

300x + 10 ≥ 2000

b)

10x + 300 ≤ 2000

c)

10x + 300 > 2000

d)

300 + 10x ≥ 2000

4.

Juan bought a soda for $2. He also bought some nachos for $3 each. Juan did not spend more than $14 on the nachos and the soda. Write an inequality can be used to find n, the number of nachos that Juan could have bought.

a)

14 ≥ 2n+3

b)

2+3n ≤ 14

c)

14-3n ≤ 2

d)

14x+2 ≤ 3

5.

Alexa has at most $60 to spend on the clothes. She wants to buy a pair of jeans for $22 and spend the rest on t-shirts. Each t-shirt cost $8. Write an inequality that could be used to find x, the number of t-shirts Alexa can buy.

a)

60≥22x-8

b)

22-8x≥60

c)

22x+8≤60

d)

22+8x≤60

6.

Which situation can be represented by the inequality
15 + 6x ≤ 100?

a)

Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

b)

Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

c)

Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

d)

Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

7.

Which situation can be represented by the equation
40x + 20 = 200?

a)

Mitch owed Jason $200. Mitch borrowed $20 more. If Mitch pays Jason back $40 per week, how many weeks will it take him to pay back the money?

b)

Mitch owed Jason $200. Mitch already paid Jason back $20. If Mitch pays Jason back $40 per week, how many weeks will it take him to pay back the money?

c)

Mitch owed Jason $200. Mitch borrowed $40 more. If Mitch pays Jason back $20 per week, how many weeks will it take him to pay back the money?

d)

Mitch owed Jason $200. Mitch already paid back $40. If Mitch pays Jason back $20 per week, how many weeks will it take him to pay back the money?

8.

At the Big Bear video rental store, blank CDs cost $1.50 each and blank DVDs cost $3.25 each. Which of the following statements best describes the number of CDs (c) and DVDs (d) that can be purchased for less than $65.00?

a)

1.50c + 3.25d < 65

b)

3.25c + 1.50d <65

c)

1.50c + 3.25d ≤ 65

d)

3.25c + 1.50d ≤ 65

9.

A donut shop charges $0.70 for each donut and $0.30 for a carryout box. Shirley has $5.00 to spend. She needs to determine the most donuts (x) she can buy when she only puts them in one carryout box. Which equation can be used to answer this problem?

a)

70x + 30 < 500

b)

30x + 70 < 500

c)

70x + 30 ≤500

d)

30x + 70 ≤ 500

10.

Quotient means...

a)

addition

b)

subtraction

c)

multiplication

d)

division

11.

Is means...

a)

addition

b)

less than

c)

at least

d)

equals

12.

Product means...

a)

addition

b)

subtraction

c)

multiplication

d)

division

13.

Difference means...

a)

addition

b)

subtraction

c)

multiplication

d)

division

14.

Increased means...

a)

addition

b)

subtraction

c)

multiplication

d)

division

15.

Sum means...

a)

addition

b)

subtraction

c)

multiplication

d)

division

16.

Write as an equation: the product of 8 and a number c is 72

a)

72c = 8

b)

8c = 72

c)

c - 8 = 72

d)

8 + c = 72

17.

A local bakery has a daily operating cost of $1800 plus a cost of $10 per cake they make. If a cake sells for $15, which equation could be used to determine the minimum number of cakes, c, they must sell each day to earn a profit?

a)

15c < 1800 + 10c

b)

15c > 1800 + 10c

c)

15c = 1800 + 10c

d)

10c < 1800 + 15c

18.

Which situation can be represented by the equation
1500 - 50x = 2000 - 100x

a)

There are two water tanks in the city. One tank has 1500 gallons and gains 50 gallons each hour. The other tank has 2000 gallons and gains 100 gallons each hour. When will the tanks have the same amount of water?

b)

There are two water tanks in the city. One tank has 1500 gallons and loses 50 gallons each hour. The other tank has 2000 gallons and gains 100 gallons each hour. When will the tanks have the same amount of water?

c)

There are two water tanks in the city. One tank has 1500 gallons and loses 50 gallons each hour. The other tank has 2000 gallons and loses 100 gallons each hour. When will the tanks have the same amount of water?

d)

There are two water tanks in the city. One tank has 1500 gallons and loses 50 gallons each hour. The other tank has 2000 gallons and loses 100 gallons each hour. When will the bigger tank have more water?

19.

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?

a)

2 hours

b)

3 hours

c)

4 hours

d)

5 hours

20.

Cody’s Gym charges a $15 fee to join and $30 per month. Tyler’s Gym charges a $30 fee to join and $20 per month. Write an inequality that could be used to determine after how many months Tyler’s gym would be a better deal.

a)

30 + 20x < 15 + 30x

b)

30x + 20 < 15x + 30

c)

30 + 20x > 15 + 30x

d)

30x + 20 > 15x + 30

21.

What is the equation?

a)

y = 3x + 1.25

b)

x = 3y + 1.25

c)

x = 1.25y + 3

d)

y = 1.25x + 3

22.

If Sally skates for 3 hours, what is the cost?

a)

$10.25

b)

$6.75

c)

$4.25

d)

$3.75

23.

What is the equation for Speedy Bikes?

a)

y =3.50x

b)

y = 2x + .50

c)

y = .50x + 2

d)

x = 3.50y

24.

What is the equation for Zippy Bikes?

a)

y = 3.50x

b)

y = 0.50x +2

c)

y = 2x + 0.50

d)

x = 3.50y

25.

When will it be more cost effective to rent bikes from Speedy Bikes?

a)

3.50x > 0.50x + 2

b)

3.50x < 0.50x + 2

c)

3.50x = 0.50x + 2

d)

3.50x ≤ 0.50x + 2

26.

What is the expression for Jumpers?

a)

40 + 20x

b)

20 + 40

c)

20 + 40x

d)

60x

27.

What is the expression for Happy Gymnastics?

a)

60x

b)

30x - 30

c)

30 + 30

d)

30x + 30

28.

When will it cost Tommy the same no matter which gym he goes to?

a)

60x = 60x

b)

40 + 30x = 30x + 30

c)

40 + 30x ≤ 30x + 30

d)

40 + 30x ≥30x + 30

29.

What is the equation?

a)

y = 2x + 0.05

b)

y = 2 + 0.05x

c)

y = 2.05x

d)

y = 2x + 0.05x

30.

How much will she earn for reading a 60 page book?

a)

$123

b)

$5

c)

$120.05

d)

$3

31.

How much will she earn if she reads 160 pages?

a)

$130

b)

$328

c)

$8

d)

$320

32.

What is the expression that shows what the Thompsons will pay Emma?

a)

15 + 3x

b)

18x

c)

15x + 3

d)

15 - 3x

33.

What is the expression that shows how much the Johnsons will pay Emma?

a)

22.50x

b)

20x + 2.50

c)

2.50x + 20

d)

20 - 2.50x

34.

After how many hours will Emma need to work for the Johnsons to make more money than working for the Thompsons?

a)

18x ≥ 22.50x

b)

15 + 3x < 20 + 2.50x

c)

15 + 3x = 20 + 2.50x

d)

15 + 3x > 20 + 2.50x

35.

WRITE AN EQUATION TO REPRESENT THE SITUATION

Celebrity A has 400 followers on social media and is gaining 75 followers each day. Celebrity B has 1,000 followers on social media, but is losing 25 followers a day.

a)

400 - 75x = 1,000 + 25x

b)

400 + 75x = 1,000 – 25x

c)

400x - 75 = 1,000x + 25

d)

400x + 75 = 1,000x – 25

36.

WRITE AN EQUATION TO REPRESENT THE SITUATION

Peter and his friends are going to play putt-putt. At one location, they can pay $2.00 for rentals plus $7.50 per game. At another location, it would cost $8.00 for rentals plus $6.00 per game.

a)

2 + 7.50x = 8 + 6x

b)

2 - 7.50x = 8 - 6x

c)

2x + 7.50 = 8x + 6

d)

2x - 7.50x = 8 x- 6

37.

A rental car agency charges $30.00 per day plus per mile $0.15. Another rental car agency charges $36.00 per day plus $0.10 per mile. Which equation could be used to determine how many miles would have to be driven in one day for both rental agencies to cost the same amount to rent?

a)

30 + 0.15x = 36 + 0.10x

b)

30 - 0.15x = 36 - 0.10x

c)

30 + 36 = 0.10x + 0.36x

d)

36 - 30 = 0.36x + 0.10x

38.

Select the situation that could be modeled by: 12 + 5x = 18+3x

a)

Derek charges a base fee of $12 to walk a dog plus $5 per hour. Darla charges a base fee of $18 plus $3 an hour to walk a dog. After how many hours would they make the same amount of money?

b)

Andy buys 12 sodas for $5 each. Alex buys 18 sodas for $3 each. If they each spent the same amount, how much did they spend?

c)

Brian charges $12 for a hat and $5 per shirt. Blake buys 3 hats and 18 shirts. How many hats and shirts must they sell to make the same amount of money?

39.

A local bakery has a daily operating cost of $1800 plus a cost of $10 per cake they make. If a cake sells for $15, which equation could be used to determine the minimum number of cakes, c, they must sell each day to earn a profit?

a)

15c < 1800 + 10c

b)

15c > 1800 + 10c

c)

15c = 1800 + 10c

d)

10c < 1800 + 15c

40.

Printing company A prints calendars for $3 each and a setup fee for $46. Printing company B prints calendars for $5 each and has a setup fee of $20. Which inequality would be used to determine when company A is less than company B?

a)

3x+46 < 5x+20

b)

3x+46 > 5x+20

c)

49x < 25x

d)

3x+20 < 5x+46

41.

Camie and Jorge each begin saving money for a new computer. Camie saves $5 per week plus $50 she receives for her birthday. Jorge saves $7 per week. Which of the following can be used to find w, the number of weeks until Jorge has saved at least the same amount as Camie?

a)

7w = 5w+50

b)

50+5w < 7w

c)

5w+50 ≥ 7w

d)

7w ≥ 5w+50

42.

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. 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?

a)

150x + 24 = 180 + 20x

b)

180 - 150 = 24 x + 20x

c)

150 + 24x = 180 + 20x

d)

150 - 24x = 180 - 20x

43.

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

a)

3 hours

b)

4 hours

c)

1 hour

d)

2 hours

44.

Select the situation that could be modeled by: 120 + 25x = 45x.

a)

John bought a car radio for $120 and speakers for $25 each. Joe bought a radio for $45. They each paid the same. How much did they spend?

b)

George charges a flat fee of $120 to mow a lawn plus $25 an hour. Greg charges $45 a hour to mow a lawn. After how many hours do they make the same amount?

c)

Lisa pays $120 for each purse she buys plus an additional $25 to have them personalized. Lauren pays $45 for each purse she buys. How many purses must they buy for the amount they spent to be the same?

d)

A cell phone company charges $25 for service and $120 per gigabyte. Another company charges $45 per gigabyte. For how many gigabytes would the price be the same?

45.

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?

a)

2 hours

b)

3 hours

c)

4 hours

d)

5 hours

46.

The two figures have the same perimeter. Write an equation to determine the value of x?

a)

3.5x – 5 = 13.5x

b)

23.5x + 2 = 13.5x - 3

c)

23.5x – 2 = 13.5x + 3

d)

3.25x + 1 = 5.5x + 3

47.

To qualify for an award, a student volunteers no less than 5 hours each week at the local hospital. Let h represent the number of hours a student volunteers.

a)

h < 5

b)

h > 5

c)

h ≥ 5

d)

h ≤ 5

e)

h = 5

48.

Yellow Cab Taxi charges $5 per mile for a ride. Let y represent the amount they charge.

a)

y > 5

b)

y < 5

c)

y ≤ 5

d)

y ≥ 5

e)

y = 5

49.

A student must be at least 15 years old to obtain a driver’s permit. Let a represent the student's age.

a)

a > 15

b)

a < 15

c)

a ≤ 15

d)

a ≥ 15

e)

a = 15

50.

To order from the kid's menu a person must be no more than 12 years old. Let k represent the kid's age.

a)

k > 12

b)

k < 12

c)

k ≥ 12

d)

k ≤ 12

e)

k = 12

51.

Addie saved more than $36. Let s represent Addie's savings.

a)

s > 36

b)

s < 36

c)

s ≤ 36

d)

s ≥ 36

e)

s = 36

52.

Tucker lost 9 pounds. Let p represent pounds Tucker lost.

a)

p > 9

b)

p < 9

c)

p ≥ 9

d)

p ≤ 9

e)

p = 9

53.

You must be no more than 62 inches tall to play on the playground. Let h represent the height required to use the playground.

a)

h ≤ 62

b)

h > 62

c)

h < 62

d)

h ≥ 62

e)

h = 62

54.

If your grade is less than a 60, then you have an F. Let g represent a failing grade.

a)

g < 60

b)

g > 60

c)

g ≤ 60

d)

g ≥ 60

e)

g = 60

55.

Jake can lift 100 pounds. Let j represent the amount that Jake can lift.

a)

j > 100

b)

j < 100

c)

j ≤ 100

d)

j ≥ 100

e)

j =100

56.

The movie will be 90 minutes or longer. Let m represent the length of the movie.

a)

m > 90

b)

m < 90

c)

m ≤ 90

d)

m ≥ 90

e)

m = 90

57.

Haley ordered bought more than 60 songs on iTunes. Let s represent the number of songs Haley ordered.

a)

s > 60

b)

s < 60

c)

s ≤ 60

d)

s ≥ 60

e)

s = 60

58.

G'Quan scored 8 baskets in his basketball game. Let b represent the number of baskets he scored.

a)

b > 8

b)

b < 8

c)

b ≤ 8

d)

b ≥ 8

e)

b = 8

59.

Oak Park had more than 450 students win a Zaxby's sandwich. Let s represent the number of students who won a sandwich.

a)

s > 450

b)

s < 450

c)

s ≤ 450

d)

s ≥ 450

e)

s = 450

60.

Mark rented a canoe for less than $20 an hour. Let c represent the cost of a canoe for an hour.

a)

c > 20

b)

c < 20

c)

c ≤ 20

d)

c ≥ 20

e)

c = 20

61.

Bill spent at least $26 at QT on gas. Let q represent the amount of money Bill spent.

a)

q > 26

b)

q < 26

c)

q ≤ 26

d)

q ≥ 26

e)

q = 26

62.

Bruno Mars has $95 and is spending
$4 per day. Rihanna has $40 and is
earning $5 per day. At how many
days will Rihanna have
as much as or more
than Bruno Mars?

a)

40+5x $\le$ 95-4x

b)

40-5x≥ 95-4x

c)

40+5x≥ 95-4x

d)

40+5x undefined 95+4x

63.

A rubber tree is 95 inches tall and

growing at a rate of 4 inches per

year. A cactus is 40 inches tall and

growing at a rate of 5 inches per

year. After how many

years will the rubber tree

be shorter than the cactus?

a)

95+4x<40+5x

b)

95+4x>40+5x

c)

95-4x<40+5x

d)

95+4x<40-5x

64.

A fish tank holds 95 gallons of water

and is losing water at a rate of 4

gallons per day. A second fish tank

contains 40 gallons of water and is

having 5 gallons added per day.

After how many days will

the first fish tank have less

water than the second?

a)

95-4x>40+5x

b)

95+4x<40+5x

c)

95-4x>40-5x

d)

95-4x<40+5x

65.

Taylor Swift spent $95 to build her

lemonade stand and sells lemonade

for $5 per cup. Kanye West spent

$40 to build his lemonade stand and

sells lemonade for

$4 per cup. After

how many cups will

Taylor have earned

more than Kanye?

a)

5x-95<4x-40

b)

5x+95>4x-40

c)

5x-95>4x-40

d)

5x-95>4x+40

66.

A pool has 40 cubic yards of water

and is draining at a rate of 4 cubic

yards per second. A second pool is

empty and filling at a rate of 5

cubic yards per second. At how

many seconds will the

first pool have less

water than the second?

a)

40-4x<5x

b)

40-4x>5x

c)

40+4x<5x

d)

40+4x>5x

67.

Comcast charges a $95 start up

fee and $4 per week for internet.

AT&T charges a $40 start up fee

and $5 per week for internet. At

how many weeks is Comcast

the same price or cheaper

than AT&T?

a)

95+4x≤ 40+5x

b)

95-4x≤ 40+5x

c)

95+4x≤ 40-5x

d)

95+4x> 40+5x

68.

Nicki Minaj's bank account has a

negative balance of $95 so she

deposits $5 per day. Kelly Clarkson's

bank account has a negative balance

of $40 so she deposits $4 per day.

At how many days will Nicki's

bank account have greater than or equal to

as much money as Kelly's?

a)

5x-95 undefined 4x+40

b)

5x-95≥ 4x-40

c)

5x+95≥ 4x-40

d)

5x-95 $\le$ 4x-40

69.

Pit Bull's sand castle is 95cm tall but

the wind is blowing away sand at a

rate of 4cm per minute. Flo Rida's

sand castle is 40cm tall and he is

adding more sand to it at a rate of

5 cm per minute. For how

many minutes will Pit Bull's

castle still be taller than

Flo Rida's?

a)

95-4x<40-5x

b)

95-4x<40+5x

c)

95+4x>40+5x

d)

95-4x>40+5x

70.

The temperature in Australia is 95

degrees and decreasing at a rate of

4 degrees per day. The temperature

in the US is 40 degrees and is

increasing at a rate of 5

degrees per day. For how

many days will Australia

be warmer or the same

as the US?

a)

95-4x≥ 40+5x

b)

95-4x undefined 40-5x

c)

95+4x≥ 40+5x

d)

95-4x $\le$ 40+5x

71.

Beyonce has $40 and earns $4 for

each dog she walks. Ariana Grande

has no money but earns $5 for each

dog she walks. How many dogs would

need to be walked

for Beyonce to

have less money

than Ariana?

a)

4x<5x+40

b)

40+4x<5x

c)

40+4x>5x

d)

40-4x<5x

72.