Writing Inequalities Using Word Problems

Alex bought 50 collectible stamps at a garage sale. Each week, he purchases 30 stamps to add to his collection. How many weeks will he need to purchase stamps to have more than 500 stamps?

• 50x + 500 < 30

• 30x + 50 > 500

• 500x + 30 > 50

• 30x + 50 < 500

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.B.8

Savannah spent $7 to buy supplies for a lemonade stand. She plans to sell each cup for $0.50. How many cups will Savannah need to sell to make more than $20

• 0.5x - 7 < 20

• 7x - 30 > 20

• 0.5x + 7 > 20

• 0.5x - 7 > 20

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.B.8

Timothy has an account balance of $50. He deposits $30 after work everyday. How many days will he need to deposit $30 before he has at least $500

• 30x -50  $\le$  500

• 50x + 30  $\ge$  500

• 500 + 30x  $\le$  50

• 50 + 30x  $\ge$  500

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.B.8

Tina's hair is 7 inches long. Her hair grows 0.5 inches a month. How many months will Tina grow her hair before it is at least 20 inches long?

• 7 - 0,5h $\ge$ 20

• 20h + 7 $\le$ 0.5

• 7 + 0.5h $\ge$ 20

• 20h - 7 $\le$ 0.5

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.B.8

At the lake, Chris can rent a row boat for $40 plus $15 dollars per hour. How many hours can Chris rent a row boat if he has less than $100?

• 40 - 15x $<$ 100

• 15x + 100 $>$ 40

• 40+ 15x $<$ 100

• 15x + 40 $>$ 100

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.8

Joseph can work up to 36 hours a week. He has already worked 3 hours this week. How many hours per day could he work for the 4 days left in the week?

• 3 + 4x $\le$ 36

• 4x + 36 $\le$ 3

• 3 - 4x $\ge$ 36

• 4x - 36 $\ge$ 3

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.8

East Hoke Middle School Gospel Choir rented an auditorium for $700. If they charge $30 per ticket, how many tickets will they need to sell to raise at least $1000 profit?

• 700t + 1000 $\le$ 30

• 30t - 700 $\ge$ 1000

• 30t - 1000 $\le$ 700

• 30t + 700 $\ge$ 1000

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.B.8

Karen has $20 to spend. She buys lunch for $14 and spends the rest on banana biscuits. Each banana biscuit cost $3.

How many banana biscuits did she buy?

• 20 - 14b $\ge$ 3

• 14 + 3b $\le$ 20

• 3b + 14 $\ge$ 20

• 14 - 3b $\le$ 20

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.B.8

Brock has $23 to spend on cupcakes. He wants to buy and orange cupcake for $8 and spend the rest on pink cupcakes. Each pink cupcake costs $5. Write an inequality that can be used to determine the number of pink cupcakes Brock can buy. 

• 8 - 5x $>$  23

• 5x + 23 $<$  8

• 8 + 5x $>$  23

• 23x - 5  $<$  8

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.8

Cody has $30 to spend on pencils. He wants to buy a gel pen for $10 and spend the rest on ball pens. Each ball pen costs $5. Write an inequality to find the number of ball pens he can purchase.

• 10 + 5x $\le$ 30

• 30x + 5 $\ge$ 10

• 10 - 5x $\le$ 30

• 30x - 5 $\ge$ 10

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.B.8