One Variable equations
Two Variable equations
Absolute Value Equations
Compound Inequalities
Literal Equations
100
Solve for x: 3x − 5 = 2x + 6.
11
100
The sum of three consecutive integers is 267. What is the largest integer?
90
100
Solve for x: −3|2x + 6| = −12
x = −1, x = −5
100
Solve the compound inequality 6b < 42 or 4b + 12 > 8
b < 7 or b > −1
100
The formula V = IR shows the relationship between voltage, current, and resistance. Solve this formula for R.
R = 
200
Solve for x: 3(x + 1) = −2(x − 1) + 6
1
200
A store offers a 15% discount on all items in the store during a sale. All store employees get an additional 10% employee discount. In the equation below, C represents the cost of an item for an employee including tax and x represents the original price of the item:
C = 0.765x + 0.06(0.765x)
Chris is an employee at the store. He plans to buy a coat during the sale. The price of the coat before the discount is $100. How much will Chris pay for the coat during the sale? Remember, do not include the $ symbol
81.09
200
Solve for x: |x − 2| + 10 = 12
x = 0, x = 4
200
Which of the following is an equivalent form of the compound inequality −22 > −5x − 7 ≥ −3?
A. −5x − 7 < −22 and −5x − 7 ≥ −3
B. −5x − 7 > −22 and −5x − 7 ≥ −3
C. −5x > −22 and −7 ≥ −3
D. −5x − 7 < −22 and −5x − 7 ≤ −3
A
200
Bonnie has a container in the shape of a rectangular pyramid. The formula for the surface area of the enclosed space is S = lw + 0.5Ph. Solve for P.
P = 
300
Solve for x: −3(x + 3) = −3(x + 1) − 5
No solution
300
Maya and Sally were the two finalists in a singing competition. The person with the most votes from the audience was chosen as the winner. Sally received 25% of the total votes and lost by 62,500 votes. No person in the audience was allowed to vote more than once. The equation below represents this situation, where y is the total number of votes cast and x is the number of votes Maya received:
x − 62,500 = 0.25y
If a total of 125,000 people voted, how many votes did Maya receive? Do not enter comma for placeholder values
93750
300
Solve for x: |x| − 8 = −5
x = 3, x = −3
300
Solve the compound inequality -7 < -3x - 2 ≤ 5 and represent the solution in the interval notation.
[-7/3, 5/3)
300
Solve the inequality W > 
for H
WP − Y > H
400
Solve for x: 
= 3x
2
400
As the number of pages in a photo book increases, the price of the book also increases. There is an additional shipping charge of 15%. The price of a book can be modeled by the equation below, where P = the price of the book, 20 is the printing charge, 0.5 is the charge per page, and x = the number of pages:
P = (20 + 0.5x) + 0.15(20 + 0.5x)
Jennifer wants to purchase a book but only has $62.10 to spend. What is the maximum number of pages she can have in her book
68
400
Solve for x: −4|x + 5| = −16
x = −1, x = −9
400
Which among the following represents the solution of the compound inequality 5x + 7 > 22 and 2x + 9 < 21?.
x > 3, x < 6
400
The formula Q = MCT where Q = heat flow, M = mass, C = specific heat, and T = change of temperature is used to calculate heat flow. Solve this formula for T.
T = 
500
A social networking site recorded that 80% of the people who became members of the site one month were between 30 and 40 years old. The equation below represents this information, where x represents the total number of people who became members of the site that month:
x = 0.8x + 72
How many people who became members of the site that month were between 30 and 40 years of age?
360
500
The cost of coffee is determined by the type of coffee beans that are mixed together. The cost of a local mix of Arabica and Robusta beans is modeled by the equation below, where A = the pounds of Arabica and R = pounds of Robusta:
700A + 1200R = 1,000,000
If a mixture contains 1000 pounds of Arabica beans, how many pounds of Robusta beans should be in the mixture?
250
500
The minimum and maximum temperature on a cold day in Lollypop Town can be modeled by the equation below:
2|x − 6| + 14 = 38
What are the minimum and maximum temperatures for this day?
x = −6, x = 18
500
Solve the following compound inequality: -4 ≤ 3x + 2 < 5
-2 ≤ x < 1
500
Solve for m: 18d − 2m + 9k < 5k + 10.
m > 2k + 9d − 5