y = 3x + c
Create an equivalent equation by solving for x in terms of y and c.
Algebra House 

An equation is given
y = 3x + c Create an equivalent equation by solving for x in terms of y and c.
Lena sells customprinted tshirts at her shop. She can sell 120 tshirts in a month if she charges $14 for each tshirt. She plans to change the price per
tshirt by a fixed amount n times. The revenue, in dollars, after n changes in price can be modeled by the expression (120 + 5n)(14  3n). Based on the information, complete the sentence about Lena’s tshirt sales. For each_______________ in the price per tshirt by $_____________, Lena will sell _____________tshirts in a month.
The first four terms of an arithmetic sequence are given.
27, 32, 37, 42, ... What is the 60th term of the sequence ?
Tim is sorting his book collection into groups. He places each group onto bookshelves that can hold a maximum of 25 pounds. His collection
includes hardcover books that weigh 3 pounds each and softcover books that weigh 2 pounds each. Select all of the possible numbers of hardcover books that could be on one bookshelf. A.) 3 B.) 4 C.) 8 D.) 9 E.) 12 A linear function is given:
a(x) = 26  12.4x The function b is also linear. The equation a(x) = b(x) has exactly one solution at x = 5. Create a possible equation for function b.
An expression is given.
(2x + 8)(5x  7) Which expression is equivalent to the given expression? A.) 36x  56 B.) 10x²  56 C.) 10x² + 26x  56 D.) 10x² + 54x + 56
A fitness club charges members an initial fee and a separate monthly membership fee. The equation of the function given models the total fee, f(x), in dollars,
that a person pays for x months of membership. f(x) = 30x + 25 What does the number 30 represent in this situation? A.) the initial membership fee B.) the monthly membership fee C.) the number of months that a person is a member D.) the total amount that a member pays in monthly fees
The population of a town has grown by an average of 2,000 people per year over the last 10 years. Which equation could represent an appropriate linear model
of the population? A.) y = 25,000x + 2,000 B.) y = 2,000x + 25,000 C.) y = 25,000x + 2,000 D.) y = 2,000x + 25,000
Functions f(x) and g(x) are given:
Which statement about f(x) and g(x) are true?
A.) f(x) > g(x) for all values of x B.) g(x) > f(x) for all values of x C.) f(x) > g(x) for all values of x, where x > 2 D.) g(x) > f(x) for all values of x, where x > 2 
Algebra 1 State Test Practice Archives
January 2020
