Solving Equations and Inequalities
Writing Equations and Inequalities
Word Problems
Independent and Dependent Variables
Miscellaneous
100
x + 9.4 = 14
x = 4.6
100
WRITE an inequality to represent the situation.
The maximum number of guest for the party is 150
x < 150
100
Will needs to practice for soccer at least 70 minutes a week. Write an inequality to represent the minimum number of minutes he needs to practice each day.
x > 10
100
This variable is always graphed on the y-axis
the dependent variable
100
Write an inequality to represent this number line
x< 5
200
4x - 9 > 33
x > 10.5
200
Lavya can jump rope 130 times per minute. Let j represent the total number jumps Lavya can make and m represent the number of minutes she jumps. Which equation best represents this?
A. 130 + j = m
B. 130j = m
C. m/130 = j
D. 130m = j
D
200
Ms. Motley made 140 mini muffins and decided to bring 2/5 of them to her students. How many mini muffins did she give to her students?
56
200
Write an equation to represent this table. 
x - 6 = y
200
What are the independent and dependent variables in this equation?
p=(2+g)/ 6
ind - g
dep - p
300
1/5x=30
x = 150
300
Which statement about the inequality graphed is true?
A. The inequality is x > 2, and some possible solutions are 7, 14 and 20
B. The inequality is x < 2, and some possible solutions are 0, -2 and -10
C. The inequality is x < 2, and some possible solutions are 3, 5 and 8
B
300
Devin needs to have over $75 in his bank account to avoid being charged a monthly fee. If he currently has $37, what is the minimum deposit he needs to make to avoid a fee? Write your answer as an inequality.
x > 38 or x > 39
300
What is the independent variable in the following situation:
The coffee shop makes $150 in sales per day.
the number of days
300
Write an equation for this table
5x = y
400
-1/3x < 18
x > -54
400
WRITE an equation and solve:
Charlotte has 4 dozen eggs. She wants to separate them into groups of 3. How many groups can she make?
(your equations should have an operation preformed on the variable)
3x = 48
x = 16
400
An e-bike can travel 21 miles per hour. If m represents the total number of miles and h represents the hours traveled, which equation represents this situation?
a. 21 + h = m
b. 21m = h
c. 21/m=h
d. 21h = m
D
400
Use this graph to identify the independent variable
number of athletes
400
Convert 50 degrees Fahrenheit to degrees Celsius using the formula below.
c = (f-32)/1.8
10
500
4.8x - 17 > 16.6
x > 7
500
Write and solve this inequality:
Blondies profits $0.75 for every bagel they sell. How many bagels will Blondies need to sell to make minimum of $140 in bagel profits each day?
(your inequality should have an operation preformed on the variable)
0.75b > 140
x > 187
500
The perimeter of a square dog park can be no more than 100 ft. Write and solve an inequality to represent the maximum length of one side.
x < 25
500
List all of the dependent quantities from the blue line
12, 10, 6, 4
500
If x = 37, which inequalities are true? Select all that apply.
a. 7x > 259
b. x - 14 le 22
c. x + 19 ge 56
d. x / 2 < 18
e. -2x > -75
C & E