Writing Two-Variable Inequalities

There are fewer than 150 children at the playground.

• c<150
• c>150
• c≤150
• c≥150

Tags

CCSS.6.EE.B.8

Grace has $45 at most in her purse.

• g<45
• g>45
• g≤45
• g≥45

Tags

CCSS.6.EE.B.8

An export company is reserving some containers to ship cargo overseas, and the expense must be under $58,000. A standard container,x, costs $1,100 and a large container,y, costs $4,500.

Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.

A furniture company is shipping cargo overseas on a container ship. A shorter container, x, can hold 42,500 pounds and a longer container, y, can hold 56,200 pounds. Together, all the containers must hold at least 721,000 pounds, the weight of the cargo.

Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.

• 
• 
• 
• 

In order to raise money to attend upcoming competitions, the debate team at Lancaster High School is selling apple cider and hot chocolate at a basketball game. They hope to make at least $170 in revenue at tonight's game, with hot chocolate, x, selling for $1 and hot apple cider, y, selling for $2.

Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.

• 
• 
• 
• 

Alvin, a mechanic, earns $17 for every oil change, x, he performs and $77 for every tune-up, y. He needs to earn over $1,400 today to be able to pay the rent for his business and still have some money left over.

Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.

• 
• 
• 
• 

For tax purposes, a large corporation wants to spend more than $10,000,000 on charitable works. The company is told that, in a developing country, it can build a hospital, x, for $1,300,000 and a school, y, for $14,000.

Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.

Molly is sewing some clothing. She has 66 yards of fabric to use. She uses 4 yards of fabric to make a short-sleeved shirt, x, and 16 yards of fabric to make a long-sleeved shirt, y.

Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.

• 
• 
• 
• 

A charity organization wants to distribute food packages and blankets to a disaster-stricken area. They can buy a food package, x, for $20 and a blanket, y, for $15. They have a budget of $5000.

Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.

A construction company needs to buy bricks and cement for a new project. A brick, x, costs $2 and a bag of cement, y, costs $50. The total cost must not exceed $10,000.

Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.