Wednesday, December 09, 2020

STAAR (State of Texas Assessments of Academic Readiness) Algebra I, May 2018, cont.

The State of Texas Assessments of Academic Readiness (STAAR) exam, administered MAY 2018.

More STAAR problems.

Administered May 2018

Read each question carefully. For a multiple-choice 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.





51. What is the slope of the line that passes through the points (5, −11) and (−9, 17)?

A -2
B -1/2
C 7
D 2

Answer: A -2
Change in y divided by change in x

(17 - -11) / (-9 - 5) = 28 / -14 = -2



52. What is the x-value of the solution to this system of equations?

x = 2y − 4
7x + 5y = −66


F -2
G -19/7
H -8
J -62/19

Answer: F -2
Substitute (2y - 4) for x in the second equation

7(2y - 4) + 5y = -66
14y - 28 + 5y = -66
19y = -38
y = -2

An odd coincidence that two answers in a row were the first choice, which was -2.





53. Which expression is equivalent to SQRT(96)?

A 24
B 8 SRT(6)
C 48
D 4 SQRT(6)

Answer: D 4 SQRT(6)
96 is not a perfect square, so it will not have an integer square root. Choices A and C are eliminated.
The factors of 96 are 2 x 2 x 2 x 2 x 2 x 3. (I got that by dividing 96 by 2 repeatedly until I only had 3 remaining.
Group the factors into pairs: SQRT( (2x2) x (2x2) x 2 x 3 )
That equals 2 x 2 x SQRT( 2 x 3 ), which is 4 SQRT(6).



54. Which line appears to have an x-intercept of -5 and a y-intercept of 3?



Answer: G
An x-intercept of -5 means the point (-5, 0) is on the line. A y-intercept of 3 means the point (0, 3) is on the line.

The graph that shows this is Choice G.

Choice J flips those numbers.

Choice F flips and negates those numbers.

Choice H negates those numbers.



END OF EXAM.





More to come. Comments and questions welcome.

More STAAR problems.

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