Writing Inequalities

you must be at least 48 inches to ride the roller coaster.

• x > 48
• x < 48
• x ≤ 48
• x ≥ 48

Tags

CCSS.6.EE.B.8

You can spend no more than 20 dollars on your mom's birthday present.

• x > 20
• x < 20
• x ≤ 20
• x ≥ 20

Tags

CCSS.6.EE.B.8

Greater Than

• >

• >

• <

• <

Tags

CCSS.6.EE.B.8

Less Than or Equal To

• >

• >

• <

• <

Tags

CCSS.6.EE.B.8

Less Than

• >

• >

• <

• <

Tags

CCSS.6.EE.B.8

2 - A student is buying hot chips and sodas from the corner store. She can choose any combination of chips and sodas, and she does not want to spend more than $20. If hot chips cost $2.50 each and sodas costs $1.75 each, which inequality represents all possible combinations

of x hot chips and y sodas?

• A. 2.5x + 1.75y ≥ 20

• B. 2.5x + 1.75y ≤ 20

• C. 2.5x + 1.75y < 20

• D. 1.75x + 2.5y ≥ 20

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

4 - An Uber’s rates are $1.35 per mile plus an additional $2.50 base fee. You have a weekly budget represented by B(x). Which inequality can be used to represent the amount of money you can spend without going over your budget.

• A. B(x) ≤ 1.35x + 2.50

• B. B(x) ≥ 1.35x + 2.50

• C. B(x) < 1.35x + 2.50

• D. B(x) > 1.35x + 2.50

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.REI.B.3

7 – The drama department has set a fundrasing goal of $2,400 , which students will try to meet or exceed by selling two kinds of popcorn. There are profits of $3 for each container of caramel popcorn (x) and $1 for each container of chocolate-covered popcorn (y). Select the inequality that describes the situation. 

• 3x + y  $\ge$  2,400

• 3 + x + 1 + y  $\le$  2,400

• 3x + y  $\le$  2,400

• 3 + x + 1 + y  $\ge$  2,400

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

10 - Fabiano wants to score at least 6.5 points in a major chess tournament. He scores 1 point for each game that he wins, and he scores 0.5 points for each game that ends in a draw. Write an inequality that represents the number of games Fabiano should win (w) and draw (d) to achieve his goal.

• A. 0.5w + d ≥ 6.5

• B. w + 0.5d ≥ 6.5

• C. w + 0.5d ≤ 6.5

• D. 0.5w + d ≤ 6.5

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.CED.A.1

11 - You have two summer jobs at a youth center. You earn $8 per hour teaching basketball and $10 per hour teaching swimming. Let x represent the amount of time (in hours) you teach basketball each week, and let y represent the amount of time (in hours) you teach swimming each week. Your goal is to earn at least $200 per week. Write an inequality to model this situation.

• A. 8x + 10y ≥ 200

• B. 8x + 10y ≤ 200

• C. 10x + 8y ≥ 200

• D. 10x + 8y ≤ 200

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.CED.A.1