Writing Inequalities

Multiple Choice

The band practice will be less than 45 minutes long on Friday. Which inequality represents this situation?

• p < 45

• p > 45

• p ≤ 45

• p ≥ 45

Multiple Choice

The band practice will be less than 45 minutes long on Friday. Which inequality represents this situation?

• p < 45

• p > 45

• p ≤ 45

• p ≥ 45

Multiple Choice

All items at Pat's Pasta cost more than $10. Which inequality represents this situation?

• i < 10

• i > 10

• i ≤ 10

• i ≥ 10

Multiple Choice

All items at Pat's Pasta cost more than $10. Which inequality represents this situation?

• i < 10

• i > 10

• i ≤ 10

• i ≥ 10

Multiple Choice

You have to be taller than 48 inches to ride the roller coaster. Which inequality represents this situation?

• r < 48

• r > 48

• r ≤ 48

• r ≥ 48

Multiple Choice

You have to be taller than 48 inches to ride the roller coaster. Which inequality represents this situation?

• r < 48

• r > 48

• r ≤ 48

• r ≥ 48

Multiple Choice

A parent has to ride the bouncing frog ride with any child less than 36 inches tall. Which inequality represents this situation?

• c < 36

• c > 36

• c ≤ 36

• c ≥ 36

Multiple Choice

A parent has to ride the bouncing frog ride with any child less than 36 inches tall. Which inequality represents this situation?

• c < 36

• c > 36

• c ≤ 36

• c ≥ 36

Multiple Choice

There are fewer than 150 children at the playground.

• c<150
• c>150
• c≤150
• c≥150

Multiple Choice

There are fewer than 150 children at the playground.

• c<150
• c>150
• c≤150
• c≥150

Multiple Choice

If s ≤ 35, which is NOT a solution of the inequality?

• 25
• 35
• 42
• 30

Multiple Choice

My sister plans to sell more than 250 boxes of cookies.

• c>250
• c<250
• c≤250
• c≥250

Multiple Choice

If m > 17, which is a possible value for m?

• 12
• 10
• 23
• 7

Multiple Choice

If m > 17, which is a possible value for m?

• 12
• 10
• 23
• 7

Multiple Choice

You and your friends ate more than 8 slices of pizza at the party.

• x > 8
• x < 8
• x ≤ 8
• x ≥ 8

Multiple Choice

If s ≤ 35, which is NOT a solution of the inequality?

• 25
• 35
• 42
• 30

Multiple Choice

You spent less than 5 hours on homework each night.

• x > 5
• x < 5
• x ≤ 5
• x ≥ 5

Multiple Choice

You and your friends ate more than 8 slices of pizza at the party.

• x > 8
• x < 8
• x ≤ 8
• x ≥ 8

Multiple Choice

You spent less than 5 hours on homework each night.

• x > 5
• x < 5
• x ≤ 5
• x ≥ 5

Multiple Choice

Match the inequality clue word with the correct inequality symbol.  IS GREATER THAN

• $$\le$$

• $$\ge$$

• $$<$$

• $$>$$

Multiple Choice

x is fewer than 9

• $$x\ <\ 9$$

• $$x\ >9$$

• $$x\le9$$

• $$x\ge9$$

Multiple Choice

Match the inequality clue word with the correct inequality symbol.  IS MORE THAN

• $$\le$$

• $$\ge$$

• $$<$$

• $$>$$

Multiple Choice

x is more than 0

• x > 0

• $$x\ge0$$

• $$x<0$$

• $$x<0$$

Multiple Choice

x is more than 0

• x > 0

• $$x\ge0$$

• $$x<0$$

• $$x<0$$

Multiple Choice

Match the inequality clue word with the correct inequality symbol.  IS MORE THAN

• $$\le$$

• $$\ge$$

• $$<$$

• $$>$$

Multiple Choice

x is fewer than 9

• $$x\ <\ 9$$

• $$x\ >9$$

• $$x\le9$$

• $$x\ge9$$

Multiple Choice

Match the inequality clue word with the correct inequality symbol.  IS GREATER THAN

• $$\le$$

• $$\ge$$

• $$<$$

• $$>$$

Multiple Choice

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?

• 125x + 55 ≤ 600
• 125x + 55 ≥ 600
• 125x + 55 > 600
• 125x + 55 < 600

Multiple Choice

Match the inequality clue word with the correct inequality symbol. IS LESS THAN

• $$\le$$

• $$\ge$$

• $$<$$

• $$>$$

Multiple Choice

What inequality does the number line graph represent

• x ≤ 4
• x ≥ -4
• x < -4
• x < 4

Multiple Choice

The minimum age for entry is 10 years old.
Let x represent the age allowed for entry.

• x >10
• x ≥ 10
• x < 10
• x ≤ 10

Multiple Choice

When graphing b< 6 would you use an open or closed circle?

• Open
• closed

Multiple Choice

The maximum weight for the zip line is 250 pounds.
Let x represent the weight allowed on the zipline.

• x > 250
• x ≥ 250
• x < 250
• x ≤ 250

Multiple Choice

A caterer charges a service fee and a food fee, with the total being less than $1,000. The service fee is $175. Which inequality can be used to determine the food fee?

• x + 175 ≤ 1000

• x − 175 < 1000

• x + 175 < 1000

• x − 175 ≤ 1000

Multiple Choice

Only children four and under are allowed to play on the equipment.
Let x represent the age of the children allowed on the equipment.

• x > 4
• x ≥ 4
• x < 4
• x ≤ 4

Multiple Choice

Keith is saving money for a new digital camera with his seasonal job. He will work the next 8 weeks he needs to earn at least $250. Which inequality can be used to find how much money Keith needs to earn each week?

• x + 8 ≥ 250

• 8x ≥ 250

• x + 8 ≤ 250

• 8x ≤ 250

Multiple Choice

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

• 5x + 10 ≥ 100
• 5x - 100 ≥ 10
• 10x + 5 ≤ 100
• 5x + 10 > 100

Multiple Choice

Your brother has $2,000 saved for a vacation. His airplane ticket is $637. Which inequality can be used to find out how much he can spend on everything else?

• 637 + x ≤ 2000

• x − 637 ≤ 2000

• 637 + x ≥ 2000

• x − 637 < 2000

Multiple Choice

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?

• 125x + 55 ≤ 600
• 125x + 55 ≥ 600
• 125x + 55 > 600
• 125x + 55 < 600

Multiple Choice

A new tree you just planted will grow to be at most 19 feet tall. If it is currently 4 feet tall how many more feet will it grow?

• x + 4 ≤ 19

• 4x ≤ 19

• x + 4 ≥ 19

• 4x ≥ 19

Multiple Choice

When graphing b< 6 would you use an open or closed circle?

• Open
• closed

Multiple Choice

Your coach said to spend no less than 45 minutes practicing each day. You spent 14 minutes practicing this morning. How many more minutes do you have to practice for?

• 14x ≥ 45

• x + 14 ≤ 45

• 14x ≤ 45

• x + 14 ≥ 45

Multiple Choice

Keith is saving money for a new digital camera with his seasonal job. He will work the next 8 weeks he needs to earn at least $250. Which inequality can be used to find how much money Keith needs to earn each week?

• x + 8 ≥ 250

• 8x ≥ 250

• x + 8 ≤ 250

• 8x ≤ 250

Multiple Choice

Match the inequality clue word with the correct inequality symbol. AT LEAST

• $$\le$$

• $$\ge$$

• $$<$$

• $$>$$

Multiple Choice

Your brother has $2,000 saved for a vacation. His airplane ticket is $637. Which inequality can be used to find out how much he can spend on everything else?

• 637 + x ≤ 2000

• x − 637 ≤ 2000

• 637 + x ≥ 2000

• x − 637 < 2000

Multiple Choice

Match the inequality clue word with the correct inequality symbol. AT MOST

• $$\le$$

• $$\ge$$

• $$<$$

• $$>$$

Multiple Choice

Aiko is selling books for $12 each. She wants to make more than $180 in book sales. Which inequality below can help find the number of books Aiko needs to sell in order to meet her goal?

• x + 12 > 180

• 12x < 180

• 12x > 180

• x + 12 < 180

Multiple Choice

Match the inequality clue word with the correct inequality symbol.  IS GREATER THAN

• $$\le$$

• $$\ge$$

• $$<$$

• $$>$$

Multiple Choice

A new tree you just planted will grow to be at most 19 feet tall. If it is currently 4 feet tall how many more feet will it grow?

• x + 4 ≤ 19

• 4x ≤ 19

• x + 4 ≥ 19

• 4x ≥ 19

Multiple Choice

What is the difference between less than a number and is less than a number ?

• Less than means to subtract , Is less than requires an inequality symbol.

• There is no difference

• Less than means it is just less than , and is less than means it can also be equal to.

Multiple Choice

Your coach said to spend no less than 45 minutes practicing each day. You spent 14 minutes practicing this morning. How many more minutes do you have to practice for?

• 14x ≥ 45

• x + 14 ≤ 45

• 14x ≤ 45

• x + 14 ≥ 45

Multiple Choice

Write an inequality for 7 less than x is at least than 9.

• $$7\ -\ x\ \le\ 9$$

• $$x\ -\ 7\ \ge\ 9$$

• $$x\ -\ 7\ <\ 9$$

• $$7\ \ge\ x\ -\ 9$$

Multiple Choice

Match the inequality clue word with the correct inequality symbol. AT LEAST

• $$\le$$

• $$\ge$$

• $$<$$

• $$>$$

Multiple Select

Write an inequality for 9 more than x is at most 31.

• $$9\ +\ x\ \le\ 31$$

• $$x\ +\ 9\ \le31$$

• $$x\ +\ 9\ >\ 31$$

• $$9\ +\ x\ \ge\ 31$$

Multiple Choice

Match the inequality clue word with the correct inequality symbol. AT MOST

• $$\le$$

• $$\ge$$

• $$<$$

• $$>$$

Multiple Choice

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?

• 125x + 55 ≤ 600
• 125x + 55 ≥ 600
• 125x + 55 > 600
• 125x + 55 < 600

Multiple Choice

Match the inequality clue word with the correct inequality symbol. IS LESS THAN

• $$\le$$

• $$\ge$$

• $$<$$

• $$>$$

Multiple Choice

Match the inequality clue word with the correct inequality symbol.  IS MORE THAN

• $$\le$$

• $$\ge$$

• $$<$$

• $$>$$

Multiple Choice

Match the inequality clue word with the correct inequality symbol.  IS LESS THAN OR =

• $$\le$$

• $$\ge$$

• $$<$$

• $$>$$

Multiple Choice

Write an inequality for 7 less than x is at least than 9.

• $$7\ -\ x\ \le\ 9$$

• $$x\ -\ 7\ \ge\ 9$$

• $$x\ -\ 7\ <\ 9$$

• $$7\ \ge\ x\ -\ 9$$

Multiple Select

Write an inequality for 9 more than x is at most 31.

• $$9\ +\ x\ \le\ 31$$

• $$x\ +\ 9\ \le31$$

• $$x\ +\ 9\ >\ 31$$

• $$9\ +\ x\ \ge\ 31$$

Multiple Choice

You can spend no more than 20 dollars on your mom's birthday present.

• x > 20
• x < 20
• x ≤ 20
• x ≥ 20

Multiple Choice

you must be at least 48 inches to ride the roller coaster.

• x > 48
• x < 48
• x ≤ 48
• x ≥ 48

Multiple Choice

The temperature dropped 11° in the last hour. The temperature is currently below 50°F. Which of the following could be used to determine the temperature, t, one hour ago?

• t – 11 < 50

• t – 11 > 50

• t – 11 ≤ 50

• t – 11 = 50

Multiple Choice

Bria takes piano lessons. She needs to practice at least 120 minutes per week. So far this week she has practiced 95 minutes.

How do we write the inequality for this situation?

• 95 + m ≤ 120

• 95 + m ≥ 120

• 95 + m < 120

• 95 + m > 120

Multiple Choice

Pheobe has $500 in a savings account at the beginning of the summer. She wants to have at least $200 in account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Write an inequality that represents Pheobe's situation.

• 200+25w ≥ 500
• 500-25w ≥ 200
• 500+25w ≤ 200
• 200-25w ≤ 500

Multiple Choice

Mr. Smith has a maximum of $50 to spend at a museum. A ticket to the museum costs $7. He can spend p dollars to buy other things at the museum. Which inequality can be used to find the possible values for p?

• p − 7 > 50

• p − 7 < 50

• p + 7 ≥ 50

• p + 7 ≤ 50

Multiple Choice

Ross and Chandler go to Taco Land and order sodas for a total of $3.50. They also want to order some tacos (of course), which cost $1.75 each. If they have $20, how many tacos can they buy? Which inequality best represents the situation.

• 3.50 + 1.75t > 20
• 1.75 + 3.50t ≤ 20
• 3.50 + 1.75t ≥ 20
• 1.75t + 3.50 ≤ 20