Framing/writing linear inequalities in one variable

A new van is priced at $19,500. If the buyer chooses to finance, he or she will pay $5,000 as a down payment and $375 per month. Which inequality can be used to find out after how many months will the buyer have paid more than $10,000 towards the van?

•  $19,500\ -5000x\ \ >10,000$  

•  $5000x\ +\ 375\ >\ 10,000$  

•  $5000\ +\ 375x\ >\ 10,000$  

•  $19,500\ -375x\ <10,000$  

Tags

CCSS.7.EE.B.4B

Olivia gets 5 points for each answer and has already earned 10 points of extra credit She needs at least 77 points to pass.

• 10a + 5 ≥ 77

• 5a + 10 ≥ 77

• 5a + 10 > 77

• 5a + 10 ≤ 77

Tags

CCSS.7.EE.B.4B

The 30 members of a choir are trying to raise at least $1,500 to cover travel costs to a singing camp. They have already raised $600. Which inequality could you solve to find the average amounts each member can raise that will at least meet the goal?

• 30x + 600 > 1,500

• 30x + 600 ≥ 1,500

• 30x + 600 < 1,500

• 30x + 600 < 1,500

Tags

CCSS.7.EE.B.4B

The speed limit is 45. Katie was going thirty miles per hour and sped up some. Which inequality represents the amount she could speed up and not be speeding? 

• 30 + s ≥ 45
• 30 - s ≥ 45
• 30 + s ≤ 45
• 30 - s ≤ 45

Tags

CCSS.7.EE.B.4B

Write an inequality for the following: 5 less than twice some number is more than 15

• 5 - 2x > 15

• 5 - 2x < 15

• 2x - 5 < 15

• 2x - 5 > 15

Tags

CCSS.7.EE.B.4B

A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If Erica has at most $10 to spend on the cab ride, how far could she travel?

• 1.75m + 0.65 ≥ 10

• 1.75m + 0.65 > 10

• 1.75 + 0.65m ≤ 10

• 1.75 + 0.65m < 10

Tags

CCSS.7.EE.B.4B

Four times a number increased by  7 is at least 19. 

• 4x > 19
• 4x + 7 ≥ 19
• 4x < 19
• 4x + 7 ≤ 19

Tags

CCSS.7.EE.B.4B

Jeff bought a bottle of water for $2. He also bought some hot dogs for $3 each. Jeff did not spend more than $14 on the hot dogs and the bottle of water. Which inequality can be used to find h, the number of hot dogs that Jeff could have bought?

• $3h\ -\ 2\ \le14$

• $3h\ -2\ \ge14$

• $3h\ +2\ \le14$

• $3h\ +\ 2\ \ge14$

Tags

CCSS.7.EE.B.4B

Sheila had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Which inequality represents her situation?

• 500 - 25x ≥ 200

• 500 - 25x ≤ 200

• 500 + 25x ≥ 200

• 200 + 25x ≥ 500

Tags

CCSS.7.EE.B.4B

Stacy has $25 in her savings account. To save more money, Stacy is selling lemonade for $0.50. She wants to have more than $150 in her account. Which inequality represents this situation?

Tags

CCSS.7.EE.B.4B