Inequality from Story Problems

Write the word sentence as an inequality
a number b is at least -16

• b ≥ -16

• b ≤ -16

• b = -16

• b > -16

Write the word sentence as an inequality
6 times a number x is at most 47

• 6x > 47

• 6x ≥ 47

• 6x < 47

• 6x ≤ 47

Translate the following sentence into an inequality
four more than a number is less than 17

• x + 4 > 17

• x + 4 ≤ 17

• x + 4 < 17

• x < 17 + 4

Solve the inequality: 3x + 5 > 17

• x = 4

• x > 4

• x > 17

• x < 4

A university will spend at most $4,500 to buy monitors and keyboards for a computer lab. Each monitor will cost $250, and each keyboard will cost $50.

Write an inequality that represents all possible combinations of x, the number of monitors, and y, the number of keyboards, the university can buy for the computer lab?

Use Standard Form.

Must include x and y,

Use an inequality sign.

Mathematical Equivalence

ON

A university will spend at most $4,500 to buy monitors and keyboards for a computer lab. Each monitor will cost $250, and each keyboard will cost $50.

Fill in the blank to represent this situation.

​ (a)   x + ​ (b)   y​ (c)   ​ 4,500.

• 250

• 50

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AI.9.2.H

Jacob has x $5 bills and y $50 bills in his wallet. The total value of the bills is no more than $350. Create an inequality that models this situation. ( start with x )

• 5x

• 50y

• 350

• 50x

• 5y

• <

What is the correct inequality for this word problem? 5 less than a number y is under20

• 5 - y < 20

• y - 5 < 20

Ann wants to spend at most $8.50 on school supplies. She needs to purchase a binder (costs $6.89) and wants to spend the rest on pens, which cost $0.59 each. Which inequality represents this situation, where x is the number of pens Ann can buy?

Jo needs to collect at least 1,000 signatures for a petition. He has 520 and wants to collect the same number each week. He has 6 more weeks. Which inequality represents this situation?