Writing and Identifying Inequalities from Situations

Multiple Choice

BELL-RINGER QUESTION

Which choice represents the linear equation of the given graph?

• $$y=-\frac{1}{3}x-2$$

• $$y=3x-2$$

• $$y=\frac{1}{3}x-2$$

• $$y=\frac{1}{4}x-2$$

Multiple Choice

INDEPENDENT PRACTICE

1. When seeing the following words or phrases in a problem we typically think of...

"is smaller than, is less than, below"

• Greater Than

  Symbol: >

• Less Than

  Symbol: <

• Greater Than or Equal to

  Symbol: >

• Equal

  Symbol: =

Multiple Choice

INDEPENDENT PRACTICE

2. When seeing the following words or phrases in a problem we typically think of...

"maximum of, at most, not more than, is not greater than, is not more than, does not exceed, greatest number of"

• Greater Than

  Symbol: >

• Less Than

  Symbol: <

• Greater Than or Equal to

  Symbol: >

• Less Than or Equal to

  Symbol: <

Multiple Choice

PARTNER PRACTICE

3. The greatest weight a moving truck can carry is 1,600 pounds. The truck is already loaded with a piano that weighs 400 pounds. Boxes that weigh 50 pounds each will also be loaded into the truck. Which inequality represents all possible values of x, the number of these boxes that can be loaded into the moving truck?

• 50x + 400 ≤ 1,600

• 50x + 400 ≥ 1,600

• 400x + 50 ≤ 1,600

• 400x + 50 ≥ 1,600

Multiple Choice

PARTNER PRACTICE

4. Two middle schools are collecting cans for a local charity.

•Riverside have already collected 360 cans and want to collect 30 each week.

•Rosemont have already collected 200 cans and want to collect 40 each week.

Which inequality can be used to determine x, the number of weeks it would take for Rosemont Middle School to have more can collected?

• 360x + 30 = 200x + 40

• 360 + 30x < 200 + 40x

• 360 + 30x > 200 + 40x

• 360 + 30x < 200 + 40x

Math Response

PARTNER PRACTICE

5. Race Rentals charges $120 per hour to rent a motorbike and helmet. The Speed Shop charges $110 per hour to rent a motorbike plus $60 extra for a helmet.

Write an inequality to represent x, the number of hours when The Speed Shop total cost does not exceed Race Rentals.

Type answer here

Correct Answer: 110x+60\le120x

Deg^°

Rad

Multiple Choice

Exit Ticket - TEK 8.8B

Two eighth-grade classes are selling raffle tickets to raise money.

•1st class - selling tickets for $2.50 each and has already raised $350.

•2nd class - selling tickets for $3.00 each and has already raised $225.

Which inequality can be used to find t, the number of tickets each class needs to sell so that the total amount raised is greater for the second class.

• 2.50t+350 > 3t+225

• 350t+2.50 > 225t+3

• 2.50t+350 < 3t+225

• 2.50t+225 > 3t+350