STAAR Practice Test #5 TEKS 6 and 7 Name:________________________

STAAR Practice Test #5
Name:________________________
TEKS 6 and 7 (Quadratics)
Block:_________ Date:__________
1. (7B) The graph of quadratic function r is shown on the grid.
What is a solution to 𝑟(𝑥) = 0?
A. 4
2. (7A) A table of values for the quadratic
function f is shown below. If 3 is one
solution to f(x) = 0, what is the value of the
other solution?
B. -50
C. -60
D. 14
3. (7A) Points (3, 2) and (7, 2) are on the graphs of both
quadratic functions f and g. The graph of f opens downward,
and the graph of g opens upward. Which of these statements are
true?
4. (7B) There are 45 founding members of an organization. The
function 𝑦 = 2𝑥 2 + 45 can be used to determine the number of
members in the organization after x months. Based on this
function, which statement is true?
I. The graphs of f and g have the same axis of symmetry.
F The number of members in the organization increases by 6
members each month.
II. The graphs of f and g have the same x-intercepts.
III. The graph of f has a maximum point, and the graph of g has
a minimum point.
IV. The graph of f is the result of a reflection of the graph of g
across the x-axis.
G At the end of 16 months, there will be over 550 members in
the organization.
H The number of members in the organization increases by 3
members each month.
J At the end of 6 months, there will be 150 members in the
organization.
A I only
B II only
C II and IV
D I and III
5. (6B) A quadratic function is graphed on the grid.
If this function is written in the form y = a (x - h)2 + k,
what is the value of a?
A. 2
B. 5
C. -8
G 50 ft
A 𝐴(𝑥) = 25𝑥 2
B 𝐴(𝑥) = (25 + 𝑥)2
C 𝐴(𝑥) = (25𝑥)2
D 𝐴(𝑥) = 𝑥 2 + 25
D. -3
7. (6C) The graph models A, the
area in square feet of a
rectangular porch with a length
that is 0.56w less than 28 ft given
a width of w feet. Based on the
graph, what is the width in feet
of the porch with the greatest
area?
F 175 ft
6. (6C) When a contractor paints a square surface that has a
side length of x feet, he needs to know the area of the surface in
order to buy the correct amount of paint. Since the contractor
always adds 25 square feet to the area, he buys extra paint.
Which function can be used to find the total area in square feet,
A(x), that the contractor will use to determine how much paint
he needs to buy?
8. (6C) A function is graphed below. Which function is
best represented by this graph?
A. 𝑓(𝑥) = −(𝑥 − 1)2 + 4
B. 𝑓(𝑥) = −𝑥 2 + 4𝑥 + 3
C. 𝑓(𝑥) = −(𝑥 + 1)2 + 4
H 25 ft
J 350 ft
9. (7C) Function k has a parent function. The table shows some ordered pairs that belong to k. Which graph shows the parent
function of k?
10. (7B) (−8, 0) and (1, 0) are zeros of which of the following
quadratic functions?
11. (6B) Which function’s graph has a vertex of (-3 , -5) and
contains the point (7 , 5)?
a) y = x2 + 8x + 9
b) y = −x – 7x + 8
2
c) y = −x2 + 8x + 9
12. (6A) A baseball is tossed upward from the ground. The
height of the ball in feet can be modeled by the function
y = -3x(x-6) where x is the time in seconds after the ball is
released.
A. 𝑦 =
1
10
(𝑥 + 3)2 − 5
C. 𝑦 = 2(𝑥 + 3)2 + 5
B. 𝑦 =
1
10
(𝑥 − 3)2 − 5
D. 𝑦 = 2(𝑥 − 3)2 + 5
13. (7A) A table of values for the quadratic function g(x)
is shown below. Which of the statements below about the
graph of g are true? (use the grid to help you solve it)
A. Find the maximum height of the ball.
B. Approximately how long it takes the ball to hit the ground?
14. (7C) Which statement about the quadratic parent function is
true?
F Its graph is symmetrical about the x-axis.
G Its graph is symmetrical about the y-axis.
H Its domain is the set of all non-negative numbers.
J Its range is the set of all real numbers.
15. (7C) Which statements about the quadratic functions below
is true?
𝑓(𝑥) = −𝑥 2 + 64
𝑔(𝑥) = −2𝑥 2 − 51
ℎ(𝑥) = 𝑥 2 + 14
A The graphs of all three of these functions have a minimum
point.
B The graphs of all these functions have the same axis of
symmetry.
C The graph of all three functions do not cross the x-axis.
D The graphs of all these functions have the same y-intercepts.
I. The graph has a line of symmetry at x = 2
II. The graph contains the point (3, -15)
III. The graph has an x-intercept at (6, 0)
IV. The graph has a vertex at (1, -15)
A. I and II only
B. III and IV only
C. I, II, and III only
D. all are true
16. (7C) Quadratic functions g and k are shown below:
𝑔(𝑥) = 5𝑥 2 − 12
𝑘(𝑥) = 5𝑥 2 + 𝑐
at value of c will the graph of k be 5 units above the graph of g?
17. (6C) The population of a town is currently 9,000. The
function 𝑝 = 9,000 + 8𝑡 2 can be used to estimate p, the
population of the town t years from now. Based on this function,
which statement is true?
F The population of the town is increasing at a constant rate.
18. (6C) Two points on the graph of a quadratic function are
shown on the grid below.
What is the equation for the axis
of symmetry of the graph of this
function?
A. x = −3
G The population of the town will reach 10,000 between 11 and
12 years from now.
H The population of the town will increase by 256 people two
years from now.
J The population of the town will increase and then decrease.
19. (7B) The graph of quadratic function g is shown below.
B.
y = −3
C.
x = −5
D. y = −5
20. (7B) What are the zeroes of the function y = x2 - 16?
I. -4
II. 4
III. -8
IV. 8
V. 16
A.
I and II only
B.
II only
Based on the graph, between which two values of x is a zero of
g located?
C.
III and IV only
A. −9 and−8
D.
V only
B. 1 and 2
C. −7 and−5
D. 4 and 5
21. (7B) What are the solutions to:
1
8𝑥(7 − 𝑥) + (7 − 𝑥) = 0 ?
5
22. (7B) What is the greater of the solutions of
23. How do you write the function 𝑓(𝑥) = 4(𝑥 − 2)2 + 8
in standard form?
24. What is the maximum value of:
A. 𝑓(𝑥) = 4𝑥 2 − 16𝑥 − 8
B. 𝑓(𝑥) = 4𝑥 2 + 16𝑥 + 24
C. 𝑓(𝑥) = 4𝑥 2 − 16𝑥 + 24
D. 𝑓(𝑥) = 4𝑥 2 + 16𝑥 − 8
−(𝑥 − 4)2 + 16 = 0?
𝑓(𝑥) = −3(𝑥 + 3)2 + 4?
Answer Key for Test #5
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
D
-7
D
G
A
D
G
C
B
B
A
A. 27 feet
B. 3 seconds
C
G
B
C = -7
G
A
D
A
C
8
C
4