Writing Inequalities
A school bus can carry a maximum of 76 students. If 19 students are already on the bus, what inequality could represent how many more students can board the bus?
x + 19 ≤ 76
You must plant no less than 8 tomato plants to have enough tomatoes to sell your own tomato soup. If you have already planted 5, what inequality could represent x, how many more tomato plants you must still plants?
x + 5 ≥ 8
x ≥ 3
Which situation represents y = 5x?
A. Vicky went to school for x years. This is 5 times y, the number of years her brother went to school
B. Vicky has y dollars. This is 5 times x, the amount of money her brother has.
B
What are the coordinates of point P?
(4.5, 6)
What point is located at
(5, -3)?
Point A
A school bus can travel at 55 miles per hour. What inequality could represent how many hours it would take to travel at least 190 miles?
55x ≥ 190
Mila wants to spend at least $20 on a classified ad in the newspaper. She already has $12. What inequality could represent x, the amount of money Mila still needs to gather to have a minimum of $20 for the ad?
x + 12 ≥ 20
x ≥ 8
The cost of downloading one song from a website is $0.99. Write an equation that can be used to find y, the cost in dollars of downloading x songs?
y = 0.99x
What is the ordered pair for point M?
(-4, 0)
What point is located at
(0, -2)?
Point D
The cost of a gallon of orange juice is $3.50. What inequality could represent the number of containers you can buy for less than $28?
3.5x < 28
Joseph has 20 gallons of gas in his tank. His tank uses 6 gallons per hour. What inequality could represent h, the length of time Joseph can drive before running out of gas?
6h ≤ 20
h ≤ 3.3
A firefighter uses equipment that weighs 60 pounds. The firefighter weighs x pounds. Write an equation that can be used to find y, the total weight of both the firefighter and his equipment in pounds?
y = x + 60
Where is L located on the coordinate grid?
(6, -5.5)
What point is at
(-2 1/2, -6)?
Point R
You score 109 points on the first part of a test. Which inequality could represent how many more you would need to score on the second part of the test to make a final grade of more than 200 points?
x + 109 ˃ 200
Attendance at a museum more than tripled this week. Last week, 186 people went to the museum. What inequality could represent g, the number of possible guests who attended the museum this week?
3x ˃ 186
x ˃ 62
Victoria is y years old. Her age is 12 years greater than x, her brother’s age in years. Write an equation to represent this situation.
y = x + 12
What are the coordinates of point Q?
(0, 3)
What point is located at
(-6, 5)?
Point T
A dozen tamales cost $17.35 including tax. How many dozen tamales can a customer buy for no more than $624.60?
17.35x ≤ 624.60
Your brother wants to go on a trip that costs $2,000. His airplane ticket is $637. What could represent all the values of m, the amount of money your brother would need to have more than $2,000 for his trip?
m + 637 > 2000
m > 1,363
Which situation represents the equation y=6x?
A. Sam is y years old. This is 6 times x, how old her brother is.
B. Sam is y years old. This is 6 years greater than x, how old her brother is.
A
Where is the point N located on the coordinate grid?
(-3, -7.5)
What point is located at
(4, 2 1/2)?
Point B