Writing Two-Step Inequalities

Front

Twice a certain number, increased by 5, is less than three times the same number.

Back

2x + 5 < 3x

Front

When do you flip an inequality symbol?

Back

When you multiply or divide by a negative number.

Front

Do I need to flip my sign?
-3x  ≥ 12

Back

Yes

Front

Do I need to flip my sign?
3x  ≥ 12

Back

No

Front

Samantha had $22.50. She received some money and now has more than $32.00. Which inequality represents this situation?

Back

22.50 + x > 32

Front

Temperature in ice rink: 71°F. Cooling device decreases temperature by 3.5°/hour. How long to fall below 50°F?

Back

71 - 3.5x < 50

Front

Inequality for Carver Middle School's Junior Beta Club to raise at least $2000 with $10 tickets after raising $300.

Back

300 + 10x ≥ 2000

Front

Juan bought a soda for $2 and nachos for $3 each. He did not spend more than $14. Write an inequality to find n, the number of nachos.

Back

2+3n≤14

Front

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

Back

1.50x + 10 ≤ 40

Front

Triniti 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?

Back

500 - 25x ≥ 200