Writing Equations
Writing Inequalities
Solving Equations
Inequalities
Word Problems etc.
100
The sum of x and 4 is 9
x+4=9
100
A number g is less than 5
g < 5
100
18 = x/0.6
10.8
100
Check if the ordered pair is a solution to the equation: y=.4x + 12 ; (14.4,6).
no. 14.4=.4(6)+12
100
A movie is 124 minutes long. You have watched 55 minutes so far. Write and solve an equation to find the number of minutes, m, left in the movie.
m=69 minutes
200
8 is the difference between a number x and 17.
8=x-17
200
A number y is no more than 12.
y ≤ 12
200
x + (2/5) = (5/6)
13/30
200
Check if the ordered pair is a solution to the equation: y=(1/5)x + (2/3); (3, 19/15)
yes
200
You spend 40 minutes per day on homework. Write an equation in two variables to represent the total amount of time spent on homework in 'd' days. Then create a chart and graph your equation.
t=40d. t, total homework time is dependent on d, number of days.
300
The quotient of a number p and 9 is 12.
p/9 = 12
300
16 is no less than a number h.
16 ≥ h
300
(4/5)x = (2/3)
5/6
300
Solve and graph the following inequality: (4/5)x > (2/3)
x > 5/6
300
A baker divides his cookies into 5 packages that have at most 3 cookies in each package. Write and solve an inequality to represent 'c,' the total number of cookies.
c/5 ≤3. c ≤15
400
7 is 4 less than a number m.
7= m - 4
400
A number z is at least 8.
z ≥ 8
400
x+1.432 = 12.9
11.468
400
Solve and graph the inequality: 0.12x > 5.28
x > 44
400
Write and solve an inequality to represent the situation: A teacher splits her class into 4 groups. Each group has at least 5 students. Could there be 22 students in the class?
x/4 ≥ 5; 22/4= 5.5; 5.5 ≥ 5, so yes there could be 22 students.
500
The product of a number k and 4 is 3 less than 5.
4k = 5 - 3 ; 4k = 2
500
5 less than a number p is at most 16.
p - 5 ≤ 16
500
4.6x = 33.58
7.3
500
The area of a triangle can be no less than 60 square yards. The base of the triangle is 12 yards. Write and solve an inequality to represent the possible heights of the triangle.
h ≥10
500
A table is 3 1/3 feet wide. The length of the table can be adjusted as needed. You need at least 24 square feet of space on the table. Write and solve an inequality to represent the minimum length the table should have.
(10/3)x ≥ 24; x ≥ 36/5. The length should be at least 7 1/5 yards.
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