An equation is given
y = 3x + c
Create an equivalent equation by solving for x in terms of y and c.
Lena sells custom-printed t-shirts at her shop. She can sell 120 t-shirts in a month if she charges $14 for each t-shirt. She plans to change the price per t-shirt 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 t-shirt sales.
For each_______________ in the price per t-shirt by $_____________, Lena will sell _____________t-shirts 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 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