Writing and Solving Two-Step Inequalities Test

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

• 10x + 1.50 ≥ 40
• 1.50x + 10 ≤ 40
• 1.50x + 10 <40
• 10x + 1.50 < 40

Tags

CCSS.7.EE.B.4B

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?

• 50 + 3.5x < 71
• 71 - 3.5x < 50
• 71 - 3.5x ≤ 50
• 71 + 3.5x < 50

Tags

CCSS.6.EE.B.8

CCSS.6.EE.B.5

CCSS.6.EE.B.6

The members of Carver Middle School's Junior Beta Club need to raise at least $2000 to attend their national convention. 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?

• 300x + 10 ≥ 2000
• 10x + 300 ≤ 2000
• 10x + 300 > 2000
• 300 + 10x ≥ 2000

Tags

CCSS.7.EE.B.4B

It costs Amy $0.20 to send a text message.  She has already spent $5 in text messages this month.  If she has a total of $12 that can spend this month on text messages, write and solve an inequality that will give the greatest number of text messages that she can send.

• 0.20x + 5 = 12;
  85 text messages
• 0.20(5x) = 12; 
  12 text messages
• 0.20x + 5 ≤ 12;
  x ≤ 35 
• 0.20x + 5 ≥ 12;
  x ≥ 35

Tags

CCSS.6.EE.B.8

CCSS.6.EE.B.5

CCSS.6.EE.B.6

The 23 members of the school jazz band are trying to raise at least $1800 to cover the cost of traveling to a competition. The members have already raised $750. Which inequality represents this situation if they are trying to find out how much money each person needs to raise?

• 750 + 23x > 1800
• 750x + 1800 > 23
• 23x + 1800 ≥ 750
• 750 + 23x ≥ 1800

Tags

CCSS.7.EE.B.4B

You flip an inequality symbol when you...

• subtract
• multiply and divide only
• multiple by a negative number
• multiple or divide by a negative number

Tags

CCSS.6.EE.B.8

Match the inequality to the word problem.

Katie wants to have at least $200 in her bank account by the end of the month. She currently has $25 in her bank account. Katie makes $12 for each dog that she walks. How many dogs would Katie have to walk to reach her goal of $200?

• 25 - 12x ≥ 200
• 25 + 12x ≥ 200
• 13x ≥ 200
• 25 + 12x > 200

Tags

CCSS.7.EE.B.4B

x is less than or equal to 24

• x > 24
• x < 24
• x ≤ 24
• x ≥ 24

Tags

CCSS.6.EE.B.8

The 23 members of the school jazz band are trying to raise at least $1800 to cover the cost of traveling to a competition. The members have already raised $750. Which inequality represents this situation if they are trying to find out how much money each person needs to raise?

• 750 + 23x > 1800
• 750x + 1800 > 23
• 23x + 1800 ≥ 750
• 750 + 23x ≥ 1800

Tags

CCSS.7.EE.B.4B

Grace earns $7 for each car she washes. She always saves $25 of her weekly earnings. This week she wants to have at least $65 in spending money. Which inequality represents how many cars she must wash?

• 25 - 7x ≤ 65
• 7x - 25 ≥ 65
• 7x - 65 ≥ 25
• x/25 - 65 > 7

Tags

CCSS.6.EE.B.8

CCSS.6.EE.B.5

CCSS.6.EE.B.6