Name:
Period:
STAAR/BA1 Most Missed Review
1. Write the equations for f(x) and g(x). Describe the transformation that occurred to move from f(x) to g(x)
2. Graph the inverse function.
3. What is the solution to the matrix equation below?
3 2  x   3
2 1   y    4

   
4. Write a quadratic function with zeros of -15 and 6.
5. The base of a triangle is 3 less than twice its height. If the area of a triangle is 126 in2, write an equation that can
be used to find the height.
6. Based on the table, where can you find a solution to f(x)? (Between what to x values is there an x-intercept?)
7. For the graph of f(x) shown below, write the new equation if the graph were translated 5 units right and 4 units
down.
8. A monthly cell phone plan charges $5.00 for the first 300 text messages and $0.15 for each additional message.
What is the number of text messages that must be used in a month to make the average cost per
message$0.05?
9. You are at the gas station filling your Chevy Camaro’s gas tank. This vehicle has a 20-gallon. The function C(g)
represents the cost C of filling up the gas tank with g gallons of gas. The equation C(g) = 4(g) represents the
number of gallons as a function of cost for an average motorist. Write the inequalities that represent a
reasonable domain and range for this situation.
10. The graph of the function g was obtained from the graph of the function f using a transformation as shown
below. Based on the graph, which equation can be used to describe g(x) in terms of f(x)?
A) g(x) = f(x – 4) – 6
B) g(x) = f(x – 6) + 4
C) g(x) = f(x + 4) – 6
D) g(x) = f(x + 6) – 4
11. Little Johnny is running a chemical reaction that can be modeled by a quadratic function. When he begins the
reaction there are 20 grams of sodium chloride present. At 2 minutes there are 48 grams of sodium chloride. At
5 minutes there are 60 grams of sodium chloride, and at 8 minutes there are 36 grams of sodium chloride. After
how many minutes will all of the sodium chloride be used up in the reaction?
Record your answer on the provided grid.
12. Complete a table of values for each of the following functions.
a) y = x3 + 2x2 + 67x
b) y = 412√2𝑥
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c) y = 348 + 1.18(x)
13. In basketball you score 2 points for a field goal and 1 point for a free throw. Suppose that you have scored more
than 3 points in every game this season and have a season high score of 15 points in one game.
a) What are 4 possible combinations of field goals (x) and free throws (y) in one game?
a) What are 2 combinations of field goals (x) and free throws (y) in one game that are NOT possible?
14. Cameron leaves his house for Katie’s house riding his bicycle at 7 miles per hour. At the same time, Katie leaves
her house heading towards Cameron’s house walking at 4 miles per hour. Write a system of equations to
represent the distance, d, each is from Katie’s house in h hours. They live 9.55 miles apart.
15. Describe what each of the following represents on
the system of inequalities graphed to the right.
a) Dark shaded area:
b) Light shaded areas:
c) Non-shaded area:
16. The Thespian Clun is selling tickets to its annual variety show. Prices are $8.00 for an adult ticket and $4.00 for a
student ticket. The club needs $1000 to pay for costumes and stage sets. The auditorium has a seating capacity
of 240. The graph below represents the system of inequalities that can be used to determine how many tickets
have to be sold for the club to meet its goal.
Describes the solution of this system.
17. What is the y-value of the solution to the matrix equation below?
18. What is an asymptote? What type of function has an asymptote?