Equation and Inequalities

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

• 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?

• 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?

• 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?

• 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?

Tags

CCSS.7.EE.B.4B

Choose the inequality that represents this situation: Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on the taxi ride.

• 1.75 + 0.65m < 10

• 1.75 + 0.65m > 10

• 1.75m + 0.65 < 10

• 1.75m + 0.65 > 10

Tags

CCSS.7.EE.B.4B

Derrick really wants to earn at least $330 at the Bike Shop this week before he goes on vacation. He earns $150/week plus $15.50 for each bicycle he assembles. Which inequality would help Derrick determine how many bicycles, b, he needs to put together?

• 150 + 15.50b ≥ 330

• 150b + 15.50 ≥ 330

• 150 + 15.50b ≤ 330

• 150b + 15.50 ≤ 330

Tags

CCSS.7.EE.B.4B

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

Tags

CCSS.7.EE.B.4B

7m+86>100

• m>2

• m>14

• m<6

• m>8

Tags

CCSS.7.EE.B.4B

Tonia is saving $15.00 each week to buy a bicycle. The bicycle costs $129.99. Which inequality can be used to determine the number of weeks, w, in which Tonia must save money so that she has more than enough money to buy the bicycle?

• w + 15.00 > 129.99

• w + 15.00 < 129.99

• 15.00w > 129.99

• 15.00w < 129.99

Tags

CCSS.6.EE.B.8

You have $30 to buy baseball cards. Each pack of cards costs $5. Write an inequality that represents the number of packs of baseball cards you can buy and still have at least $10 left.

Tags

CCSS.7.EE.B.4B

Calvin is making lemonade and cookies for the school bake sale. He has 10 cups of sugar. He needs two cups of sugar for lemonade. Each batch of cookies uses 1 1/2 cups of sugar. What is the maximum number of cookie batches he can make? Write the inequality to the problem.

• 1.5x - 2 ≥ 10

• 1.5x - 2 ≤ 10

• 2x - 1.5 ≥ 10

• 2x - 1.5 ≤ 10

Tags

CCSS.7.EE.B.4B

Aaron needs at least $240 to buy new headphones. He has already saved $30. He earns $14 per car that he washes.
Write the inequality to the problem.

• 14x+30 ≥ 240

• 14x+30 ≤ 240

• 30x+14 ≥ 240

• 30x+14 ≤ 240

Tags

CCSS.7.EE.B.4B

Solve 3x + 7 < 22

• x < -29/3

• x < -5

• x < 29/3

• x < 5

Tags

CCSS.7.EE.B.4B