The State of Texas Assessments of Academic Readiness (STAAR) exam, administered MAY 2018.
More STAAR problems.
Administered May 2017
Read each question carefully. For a multiplechoice question, determine the
best answer to the question from the four answer choices provided. For a
griddable question, determine the best answer to the question.
46. The graph of a quadratic function is shown on the grid
Which equation best represents the axis of symmetry
F y = 6
G x = 2
H y = 4
J x = 0
Answer: G x = 2
The Axis of Symmetry is the vertical line that would run down the middle of the parabola through the vertex, the turning point. That occurs when x = 2.
47. If p(x) = 5(x^{2} + 1) + 16, what is the values of p(11)
A 690
B 736
C 622
D 626
Answer: D 626
p(11) = 5(11^{2} + 1) + 16
= 5(121 + 1) + 16
= 5(122) + 16
= 610 + 16
= 626
58. The graphs of lines k_{1} and k_{2} are shown on the grid.
Which system of equations is best represented by this graph?
F 3x  y = 2 ;
4x + 9y = 36
G 3x  y = 6 ;
4x + 9y = 4
H x  3y = 18 ;
9x + 4y = 9
J x y + = 10 ;
9x + 4y = 13
Answer: F 3x  y = 2 ;
4x + 9y = 36
Line k_{1} has a positive slope. It has yintercept of 2 and xintercept of less than 1. There is another point at (1,1). It's slope is +3 (three units rise, 1 unit run).
Line k_{2} has a negative slope. It has yintercept of 4 and xintercept of 9. It's slope is 4/9.
In Choices H and J, the slope of the second line is 9/4, not 4/9. Eliminate these.
In Choice F, 3(0)  (2) = 2 and 3(1)  1 = 2.
Additionally, 4(0) + 9(4) = 36 and 4(9) + 9(0) = 36.
Choice F is the correct answer.
Choice G has the same left hand sides as F, but the right hand sides are too small. This can be eliminated.
49. Which statement about the graph of y = (1/3)(2/3)^{x} is true?
Which inequality best represents the domain of the part shown?
A The graph has a vertical asymptote.
B The graph crosses the yaxis at (0, 2/9 ).
C The graph has an asymptote at y = 1/3.
D The graph decreases from left to right.
Answer: D The graph decreases from left to right.
Exponential functions do not have vertical asymptotes. Eliminate Choice A.
When x = 0, y = 1/3, not 2/9. When x = 1, y = 2/9. Eliminate Choice B.
When x = 0, y = 1/3, so y = 1/3 is NOT an asymptote.
The rate is less than one, so the graph will decrease from left to right: 1/3, 2/9, 4/27, etc.
50. The table represents some points on the graph of a linear function.
Which equation represents the same relationship?
F y + 268 = 1/12(x + 20)
G y + 20 = 1/12(x + 268)
H y + 268 = 12(x + 20)
J y + 20 = 12(x + 268)
Answer: H y + 268 = 12(x + 20)
(20, 268) is a point on the line, with 20 being the x coordinate. So eliminate Choices G and J.
It comes down to whether the slope is 12 or 1/12.
m = (40  124) / (8  1)
= 84 / 7
= 12
Which is Choice H.
More to come. Comments and questions welcome.
More STAAR problems.
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