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 need 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 > 42
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
Solve for x
x/ 6 = 36
216
300
1/5x=30
x = 150
300
Which situation fits this equation below?
x/19 = 35
a. 35 pieces of candy, which will go into 19 bags
b. If each bag holds 19 pieces of candy, then there are 35 pieces total
c. The number of total pieces if there are 19 pieces of candy in 35 bags
C
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
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
x - 4=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 > 33.6
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
What is the dependent variable in this situation?
For each day a plant is in the sun, it grows 4mm.
total growth of the plant
500
If x = 37, which inequality is true?
a. 7x > 259
b. x - 14 le 22
c. x + 19 ge 56
d. x / 2 < 18
C