Inequalities
Amber needs more than 7 tickets to get a prize at the fair. What inequality represents her situation?
x > 7 OR 7 < x
There are 4 energy-efficient light bulbs in each pack. The equation b=4p shows how many light bulbs in all, b, are in p number of packs of light bulbs. Write the independent and dependent variable.
Independent variable = p
Dependent variable = b
A gallon of milk costs $4. Cole graphs the relationship that gives the cost, y, in dollars of buying x gallons of milk. Write an equation that represents the situation.
y = 4x
Which value of x makes the equation true?
5x = 15
x = 3
More than 2 buses are needed to bring all the students to the aquarium. Let b= the number of buses needed. Write an inequality of the situation.
b>2 OR 2<b
A satellite travels over 7km over Earth during each second of its orbit. To calculate the satellite's total distance, a scientist uses the equation d=7s, where d is the total distance in km and s is the number of seconds of orbit. Write the independent and dependent variable.
Independent variable = s
Dependent variable = d
You open a bank account and deposit $10, Every month you deposit $25. Let T represent the total money in your account after m months. Write an equation of the situation.
T = 25m +10
The inequality, w < 532, represents the weight limit, w, in tons on a boat. Which is a solution of the inequality?
Anything below 532
Kids at the park must be less than 6 years old. Let y = the number of years old. What inequality represents the situation?
y < 6 OR 6 > y
Each train car has a capacity of 45 passengers. To determine the capacity of a train, an engineer uses the equation t=45c, where t is the total capacity and c is the number of cars on the train. What is the independent and dependent variable in this situation?
Independent variable = c cars
Dependent variable = t capacity
An online bookstore is having a sale. All paperback books cost $5 each. Write an equation to represent the total cost, c, of buying b paperback books.
c = 5b
Which value of x is a solution to both x-8<2 and 3x>23?
x=8
A bag must weigh less than 16 pounds to be carried on an airplane. Let p = the number of pounds the bag must weigh. Write an inequality of the situation.
p < 16 OR 16 > p
A grocery store charges 75 cents for each avocado. The cost of A number of avocados is found with the equation c = .75a, where c is the total cost and a is the number of avocados purchased. What is the independent and depending variable in this situation?
Independent variable = a avocados
Dependent variable = c cost
A gardener is growing pepper plants. One plant starts at 6cm tall. It grows a constant 3cm every week. Write an equation representing the height, h, of the plant after t weeks.
h = 3t + 6
Which value of y makes the equation true?
2 + y = y + y
y = 2
The product of four and a number is less than or equal to 28. Write an inequality.
4x<= 28
Every time Tandyn puts a dime into a parking meter he gets 20 minutes to park his car on the street. He uses the equation t=20d where t is the total amount of time in minutes he can park his car and d is the number of dimes he puts into the meter. What is the independent and dependent variable in this situation?
Independent variable = d dimes
Dependent variable = t time
There are 30 songs in a playlist. Rory adds some more songs to the playlist. Write an equation that models how many songs, s, are in the playlist after Rory adds a more songs to the playlist.
s = 30 + a
OR
s = a + 30
Which values from the set (1,2,3,4,5,6) are solutions of 9 < 3x - 1?
4,5,6