Mystery
Mystery #2
Write inequalities from word problems
Inequalities
Equations
100
Solve for a.
a/3 = 50
a = 150
100
When graphing an inequality, when do we use open circles? When do we use closed circles?
Open: <, >
Closed: ≥, ≤
100
The height of a person should not be less than 5 ft to get a police job.
What is h ≥ 5
100
Write and graph the word sentence as an inequality:
0 is greater than number x
0 > x
100
Write the word sentence as an equation:
A number b divided by 6 equals 15
b/6=15
200
Is the ordered pair a solution of the equation?
y = 12x (3, 32)
No
200
What is the dependent variable?
Are they graphed on the x or y axis?
It depends on the independent variable;
y axis
200
The price of a ball should not be more than $2
What is p ≤ 2
200
Write and graph the word sentence as an inequality:
A number n is at least 10
n ≥ 10
200
Write the word sentence as an equation:
13 is 3 less than a number z
13 = z - 3
300
b = 12, Area = 24
Solve for h.
h = 4
300
Write the inequality for the sentence.
x is greater than or equal to 14.
What is x ≥ 14
300
The class must raise at least $50 to go on a field trip. They have collected $10. Write an inequality to the amount of money, m, the class needs to raise.
What is m ≥ 40
300
Write the word sentence as an inequality:
The difference of number p and 2 is at least 5
p - 2 ≥ 5
300
Is the ordered pair a solution to the equation?
2a = 10; a = 5
Yes
400
Write the word sentence as an inequality. Solve for the variable and graph the solution set.
A number b divided by 3 is less than 3.
b/3 < 3; Open circle on 9 shaded to the left
400
Orders for $25 or more receive free shipping. You are buying a t-shirt for $10.
Write and solve an inequality to represent the additional amount of money you need to spend to get free shipping.
10 + s ≥ 25
s = money needed to spend to get free shipping
400
The elevator has a weight limit up to and including 1,200 pounds. The crowd in the elevator weighs 450 pounds. Write and solve an inequality to represent the amount of additional weight the elevator can handle.
What is w ≤ 750
400
Is the value a solution of the inequality?
2r + 4 < 15 r = 3
Yes
400
Mr. Williams' Period 1 P.E. class is made up of 36 students, which is 2/3 the size of his Period 5 class. Write and solve an equation to represent the number of students, s, in his Period 5 class.
2/3s = 36
s = 54 students in his Period 5 class
500
The bases of a trapezoid are 4 inches and 6 inches and the area is 20 square inches.
What is the height h? Write and solve an equation to find the height.
h = 4 inches
500
It costs $60 to rent a car for a day. Each gallon of gas you use costs an additional $4.
Write an equation with two variables that represents the total cost of renting the car for a day.
c = 60 + 4g
c= total cost, g= number of gallons
500
Students at a playground are divided into five equal groups with at least 6 students in each group. Write an solve an inequality to represent the number of students at the playground.
s is greater than or equal to 30 students
500
Write an solve an inequality to represent the word sentence.
Three less than twice a number is at least 11.
2x - 3 > 11
x > 7
500
It costs $45 to join a gym. Once a member the monthly fee is $15. Write and graph an equation in two variables that represents the total cost, c, of a gym membership for 1st , 2nd, 3rd, and 4th month.
c = 45 + 15m
Graph on a coordinate plane.