11/13 Writing Equations AND Inequalities

Farmer Rankins and Ted are picking apples from trees.

Farmer Rankins picked 50 apples earlier in the morning and picked 5 more apples every minute. Ted picked 6 applies per minute.

Drag and drop the correct expressions into the equation to show when Farmer Rankins and Ted will have picked the same amount of apples

Farmer Rankins = Ted

​ (a)   =​ (b)  

• 5x + 50
• 6x
• 50x + 5
• 6x + 50
• 5x

There are two trees in the Farmer Rankins Orchard.

Tree A had 200 apples and George picked off 5 apples every minute from the tree. Tree B had 150 apples, but George grew tired so he was only apple to pick off 3 apples every minute.

Drag and drop two inequalities to show when Tree A will have the same amount of apples as Tree B.

​Tree A = Tree B

​ (a)   = ​ (b)  

• 200 - 5x
• 150 - 3x
• 200 + 5x
• 150 + 3x
• 200x + 5
• 150x + 5

George spilled all of the apples on the floor, so Ted had to pick them up and put them back into the crate.

There was 100 apples on the floor now and Ted put away 10 apples every minute. This means he was filling up the empty crate at a constant rate of 10 apples per minute.

Which inequality shows how many minutes it will take for the crate to have more apples than the floor.

​ ​ ​

• 100x - 10x < 10x

• 100 - 10x < 10x

• 100x - 10 < 10x

• 100 + 10x < 10x

The apples are being lifted into the air by a pulley.

There is 300 apples in the barrel at the bottom of the pulley and it takes out 12 apples each minute. The bag at the top of the pulley already 50 apples and is being filled at a constant rate of 12 apples per minute.

Write an equation that shows when the barrel at the bottom of the pulley will have less apples in it than the bag in the air.

​

​​​​ ​ ​

• 300 - 12x < 50 + 12x

• 300 + 12x < 50 + 12x

• 300x - 12 < 50 + 12x

• 300 - 12x < 50 - 12x

• 300 - 12x > 50 + 12x