Setting Up Inequalities: Real-Life Scenarios for 8th Grade

A store sells pencils for $x each and erasers for $3. If the total cost of 5 pencils is more than the cost of 4 erasers, set up an inequality to represent this situation.

• 5*x > 15

• 5*x = 12

• 5*x > 12

• 5*x < 12

Maria has $50 to spend on notebooks and pens. Notebooks cost $5 each and pens cost $2 each. If she buys 3 notebooks, how many pens can she buy without exceeding her budget? Set up an inequality.

• 20

• 10

• 17

• 5

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If another company charges $25 plus $0.25 per mile, how many miles must you drive for the first company to be cheaper? Write the inequality.

• x < 50

• x ≤ 100

• x = 75

• x > 100

In a school, the number of students in the 8th grade is represented by 's'. If the 7th grade has 20 more students than the 8th grade, and the total number of students in both grades is at least 200, set up an inequality to represent this situation.

• 2s + 20 >= 200

• s + 20 >= 200

• s + 20 <= 200

• 2s + 20 < 200

A gardener has 120 feet of fencing to create a rectangular garden. If the length of the garden is represented by 'l' and the width by 'w', and the perimeter must be less than 120 feet, write the inequality for the dimensions of the garden.

• l + w < 60

• l + w > 60

• l + w = 60

• l + w < 50

A concert hall has a seating capacity of 500. If tickets are sold for $x each and the total revenue must exceed $3000, how many tickets must be sold? Set up the inequality to represent this situation.

• n >= 3000/x

• n > 3000/x

• n = 3000/x

• n < 3000/x

A bakery sells cupcakes for $2 each and cookies for $1.50 each. If the total sales from cupcakes must be greater than the sales from cookies, and the bakery sells 100 cookies, write the inequality.

• 2x < 150

• 2x > 150

• 2x = 150

• x > 75

A student is saving money for a new laptop that costs $800. If he saves $x each week, and he wants to save at least $800 in 10 weeks, set up the inequality to represent his savings plan.

• 10x < 800

• x <= 80

• 10x = 800

• 10x >= 800

A gym charges a monthly fee of $40 plus $5 for each class attended. If another gym charges a flat fee of $50, how many classes must you attend for the first gym to be cheaper? Write the inequality.

• x < 2

• x < 3

• x < 1

• x < 0

A farmer has a total of 200 acres of land. If he wants to plant corn on 'c' acres and soybeans on 's' acres, and he wants to plant at least 150 acres in total, set up the inequality to represent this situation.

• c + s >= 150

• c + s < 150

• c + s <= 150

• c + s = 200