Writing and Solving Inequalities in One and Two Variables

The Starlight Bowling Alley charges $6 to rent shoes and $8 per game. Cameron has only $42 to spend. Which inequality represents this scenario if “x” represents the number of games Cameron can play?

• 6x + 8 ≥ 42
• 8x + 6 ≤ 42
• 6x + 8 > 42
• 8x + 6 < 42

Tags

CCSS.7.EE.B.4B

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

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

3. Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 at the end of the summer. He withdraws $25 per week for food, clothing, and movie tickets. How many weeks can Keith withdraw money from his account?

• 16 weeks 
• 14 weeks 
• 12 weeks 
• 10 weeks 

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Suzy is buying In-N-Out Burger for lunch for her friends.  The hamburgers cost $3.50 each and the drinks cost $1.50 each.  She wants to spend no more than $30 on lunch.  What inequality represents the number of hamburgers, h, and number of drinks, d, that she can buy?

• 3.5h + 1.5d ≤ 30
• 3.5d + 1.5h ≤ 30
• 3.5h + 1.5d ≥ 30
• 3.5h + 1.5d < 30

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

Which inequality is represented by the words " no more than" or "at most"?

• <
• >
• ≤
• ≥

Tags

CCSS.6.EE.B.8

Which inequality is represented by the words " more than"?

• <
• >
• ≤
• ≥

Tags

CCSS.6.NS.C.7A

CCSS.6.NS.C.7B

Which inequality is represented by the words "less than"?

• <
• >
• ≤
• ≥

Tags

CCSS.6.NS.C.7A

CCSS.6.NS.C.7B

Which inequality is represented by the words " at least"?

• <
• >
• ≤
• ≥

Tags

CCSS.6.NS.C.7A

CCSS.6.NS.C.7B

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