Solving and Graphing One Step Inequalities

Monica wants to spend at most $40 at the county fair. Entrance to the fair costs $15. She can spend d dollars on other things at the fair. Which inequality can be used to find the possible values of d?

• d − 15 > 40

• d − 15 < 40

• d + 15 ≥ 40

• d + 15 ≤ 40

Mrs. Scott decided that she would spend no more than $120 to buy birthday presents for her triplets. Which inequality can be used to determine the maximum Mrs. Scott can spend on each child?

• 3x > 120

• 3x ≤ 120

• x + 3 ≤ 120

• x + 3 > 120

Trisha and her three sisters to decide to purchase their mom a Christmas gift. They decide that everyone will contribute an equal amount, up to $60 per person. Which inequality will help find how much money will the sisters spend on their mom for Christmas?

• x ÷ 4 ≤ 60

• 4x ≤ 60

• x ÷ 4 ≥ 60

• 4x ≥ 60

A caterer charges a service fee and a food fee, with the total being less than $1,000. The service fee is $175. Which inequality can be used to determine the food fee?

• x + 175 ≤ 1000

• x − 175 < 1000

• x + 175 < 1000

• x − 175 ≤ 1000

A bowling alley charges $6 for each hour. You can spend no more than $30. How many hours can you bowl for?

• x + 6 ≤ 30

• 6x ≤ 30

• 6x ≥ 30

• x + 6 ≥ 30

Match the graph with its inequality.

• b > –2
• b < –2
• b ≥ –2
• b ≤ –2

What inequality does the number line graph represent?

• x ≤ -4
• x ≥ -4
• x < -4
• x < 4

What inequality does the number line graph represent?

• x≥ 3
• x > 3
• x < -3
• x ≤ 3

Which inequality matches the graph?

• x<3

• x>3

• x<3

• x>3

When graphing an inequality, you use a closed circle when you use which symbols?

• ≤, ≥

• <, >