properties of functions
Which set of ordered pairs demonstrates a function?
a. {(6, 4), (2, 3), (9, -1), (0, 0), (6, -4)}
b. {(-5, 1), (-5, 8), (-5, -2), (-5, -5), (-5, 10)}
c. {(-2, 3), (0, 3), (5, 3), (8, 3), (12, 3)}
c. {(-2, 3), (0, 3), (5, 3), (8, 3), (12, 3)}
1. What must be true about the graph of a system of equations that has
infinitely many solutions?
a. The lines will have the same slope but different y-intercepts.
b. The lines will have the same slope and the same y-intercepts.
c. The lines will have different slopes and different y-intercepts.
d. The lines will have different slopes but the same y-intercepts.
b. The lines will have the same slope and the same y-intercepts.
The expression (x10)(x2)-3 is equivalent to xn.
What is the value of n?
a. 4
b. 9
c. -60
d. -10
a. 4
Factor
-9x2 – 30x
-3x(3x-10)
simply
-8 + 2x + 17 – 9x + 20
-7x + 29
If h(x) = 7(x + 3)2 – 14x, what is the value of h(4)?
a. 329
b. 287
c. 77
d. -7
b. 287
Solve the system using elimination.
3x + 4y = 5
-2x + 2y = -22
(7, -4)
Use what you have learned to find the sum or difference of the polynomials.
(3x2 + 9x − 1) − (-4x2 + 8x − 6)
7x2 + x + 5
Factor the polynomial.
49x2 − 4
(7x + 2)(7x − 2)
simply
13.8b – 2.2 + 9.6 + 10.8b – b
23.6b + 7.4
10. Cassidy is going to graph the function
f(x) = -2x2 + 5. Which of the following would be
an ordered pair on the function’s graph?
a. (-3, -13)
b. (3, 1)
c. (0, -5)
d. (-5, -67)
a. (-3, -13)
Which of the following is true about the
solution to the system of equations below?
4x – 7y = -20
x =
3
4y + 3
a. The value of x = 5.75.
b. The value of y = 8.
c. There is no solution to this system.
d. There are infinitely many solutions to this
system.
b. The value of y = 8.
Use what you have learned to find the sum or difference of the polynomials
(2x − 3x2 + 12) − (9x2 − 8 + 4x)
-12x2 + 6x + 20
Factor the polynomial.
4x2 − 4x + 1
(2x − 5)(2x − 5)
Which value of n makes the equation 6.4n – 1.2 + 3n + 8.2 = 19.22 true?
a. n = 11
b. n = 2.9
c. n = -8
d. n = 1.3
d. n = 1.3
Mercy participates in a bowling league on a team with her friends. The cost of ordering team shirts
can be represented by f(x) = 12.75x + 3.50, where the total cost is a function of x, the number of
shirts ordered. Mercy’s team must have a minimum of 6 players and a maximum of 10 players.
Write the domain for the situation.
{6, 7, 8, 9, 10}
Choose any method to solve the system.
y =1/2x + 9
-2x + 2y = 12
(6, 12)
Matt’s rectangular back patio has a total
area of 12x2 − 5x + 1. The outdoor rug is
represented by the white rectangle and has an
area of 8x2 + 2x − 4. Write an expression to
represent the area of the gray region, the area
not covered by the rug.
4x2 − 7x + 5
Identify the greatest common factor of the
terms in the polynomial below.
28x2 + 32x
4x
What is the largest value of x that is not a
solution to -(9x – 4) + 12 +18x > 79?
7
17. A theater teacher is going to order between
1 and 4 chairs for her classroom. The cost of
the chairs, y, can be represented by
y = 22x + 5.5, where x is the number of chairs
ordered. Which best represents the range of
the situation?
a. {1, 2, 3, 4}
b. 1 ≤ x ≤ 4
c. {27.5, 49.5, 71.5, 93.5}
d. 27.5 ≤ y ≤ 93.5
c. {27.5, 49.5, 71.5, 93.5}
4. Diana bought a total of 22 items including
boxes of pizza and sodas for an upcoming
event. Each box of pizza cost $8 and each
soda cost $1.50. If Diana spent a total of $137,
which of the following is a true statement?
a. Diana bought 16 boxes of pizza.
b. Diana bought more sodas than boxes of
pizza.
c. Diana bought 6 boxes of pizza.
d. Diana bought an equal number of sodas and
pizzas.
a. Diana bought 16 boxes of pizza.
Use long division to find the quotient.
7x2 – 38x – 24
____________
x - 6
7x + 4
Jenna factored a trinomial, and one of the
factors were (x + 6). Which of the following could
be the trinomial that Jenna factored?
a. x2 + 10x + 24
b. x2 − 3x − 54
c. Both a and b
d. Neither a nor b
Both a and b
Which of the following is a solution to the
inequality below?
12 – (x + 17) ≤ 8(x +3) – 15x
a. x = 5
b. x = 6
c. x = 4
d. x = 4.9
c. x = 4