Word Inequalities

Choose the inequality that matches the word problem: Eva's parents gave her $30 to spend at the county fair. Admission is $8.00 and each ride costs $2.00. What is the greatest number of rides Eva can go on?

Choose the inequality that matches the word problem: Caroline's piano teacher suggests that she practices at least 225 minutes per week. Caroline plans to practice 5 nights each week.

Ms. Hernandez is taking her children and their friends to the movies.  She will pay $10 for her adult ticket and $7 for each child ticket.  Ms. Hernandez does not want to spend more than $40.  Which inequality can be used to find c, the number of child tickets Ms. Hernandez can purchase?

• 7 + 10x > 40

• 10x - 7 ≤ 40

• 10 + 7x > 40

• 10 + 7x ≤ 40

What is the rule for inequalities?

• If you add or subtract by a negative - flip the sign.

• If you multiply or subtract by a negative - flip the sign.

• Never flip the sign, ever.

• If you multiply or divide by a negative - flip the sign.

The Beta Club is sponsoring a lollipop sale. If their goal is to raise at least $228, how many lollipops must they sell at $1.50 each in order to meet that goal? Write and solve an inequality. 

• x ≤ 152

• x ≥ 152

• x ≤ 342

• x ≥ 342

Sam make $10.25 per hour working at Cheddars.  He plans to buy a laptop for $550.  Write and solve an inequality describing how many hours h Sam will have to work to be able to buy the laptop. (Round to the next higher hour)

• 10.25h < 550; less than 54 hours

• 10.25h > 550; greater than 54 hours

• 10.25h ≤ 550; at most 54 hours

• 10.25h ≥ 550; at least 54 hours

Which inequality is represented by this graph? hint: don't be tricked by the variable on the left

•  2.75 > d

• 2.75 < d

• 2.75 ≥ d

• 2.75 ≤ d

When do you "flip the inequalities sign"?

• When you add or subtract a negative

• When it's a 1-step problem

• When you multiply or divide a negative

• When it's a 2-step problem

2x > 12

• x > 6

• x < 6

• x ≥ 6

• x ≤ 6

Match the graph with its inequality.

• a > 11

• a < 11

• a ≥ 11

• a ≤ 11