One Step Inequality from Word Problems

What do you do to solve the graph of the inequality:
     -2x ≤ 10

• divide by -2

• multiply by -2

• multiply by -2 and flip the inequality

• divide by -2 and flip the inequality

John needs at least an 80 on his next test in Math class to pass this marking period. Which inequality shows what John needs on his test to pass this marking period?

• J > 80

• J < 80

• J ≥ 80

• J ≤ 80

Jason got a summer job selling magazine subscriptions. He earns $25 per week plus $3 for every subscription he sells. Jason hopes to make at least $68 this week to buy a new pair of soccer cleats. How many magazine subscriptions does Jason need to sell?

• 25 + 3x > 68

• 25 + 3x < 68

• 25 + 3x ≥ 68

• 25 + 3x ≤ 68

Evelyn set a goal of saving at least $200 in a savings account. She currently has $60 in the account. If she invests $5 of her weekly allowance per week, which of the following inequalities can be used to determine the amount of weeks it will take her to reach her goal?

• 5x+60 ≥ 200

• 5x+60 ≤ 200

• 60x+5 ≥ 200

• 60x+5 ≤ 200

Evelyn set a goal of saving at least $200 in a savings account. She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal?

• x ≥ 28

• x ≤ 28

• x > 28

• x < 28

Aaron needs at least $240 to buy new headphones. He has already saved $30. He earns $14 per car that he washes. Write the inequality to the problem.

• 14x+30 ≥ 240

• 14x+30 ≤ 240

• 30x+14 ≥ 240

• 30x+14 ≤ 240

Aaron needs at least $240 to buy new headphones. He has already saved $30. He earns $14 per car that he washes.

What is the least number of cars he can wash to buy the

headphones?

• x ≥ 15

• x ≤ 15

• x > 15

• x < 15

Noah has $100 saved in a bank account. He asked Sydney to help him figure out how much he could take out each month if he needs to have at least $25 in the account a year from now.

• 100 - 12x > 25

• 100 - 12x < 25

• 100 - 12x ≥ 25

• 100 - 12x ≤ 25

Sai gets 5 points for each answer and has already earned 10 points of extra credit. She needs at least 77 points to pass. How many questions does Sai need to answer to pass?

• 5x + 10 < 77

• 5x + 10 > 77

• 5x + 10 ≤ 77

• 5x + 10 ≥ 77

Jodi earned $15 per hour waiting tables then she spent $35 on gas. She now has less than $25 left. How many hours did Jodi work?

• 15x - 35 < 25

• 15x - 35 > 25

• 15x - 35 ≤ 25

• 15x - 35 ≥ 25