STAAR (State of Texas Assessments of Academic Readiness) Algebra I, May 2017, cont.

The State of Texas Assessments of Academic Readiness (STAAR) exam, administered MAY 2017.

More STAAR problems.

Administered May 2017

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. Which expression is equivalent to (7x³)²(x⁸)^1/2?

A 14x¹⁰
B 49x¹⁰
C 14x⁷
D 49x⁷

Answer: B 49x¹⁰

(7x³)²(x⁸)^1/2
= (49x⁶)(x⁴)
= (49x¹⁰)

For powers of powers, multiply. So 3*2 = 6 and 8*1/2 = 4
For the same base multiplied, add the powers. So 6+4 = 10.
The 7 was squared, so it becomes 49.



52. The function y = 3.75 + 1.5(x - 1) can be used to determine the cost in dollars for a taxi ride of x miles. What is the rate of change of the cost in dollars with respect to the number of miles?

F $1.50 per mile
G $3.75 per mile
H $4.25 per mile
J $5.25 per mile

Answer: F $1.50 per mile
The rate of change is the coefficient of x, which is 1.5, or $1.50.

53. Which graph best represents a function with a range of all real numbers greater than or equal to -6?

Answer: C
The range is the y-values. You want a graph where the minimum value for y is -6. Nothing can go below that.
Graphs B and D go down to negative infinity, below -6.
Graph A does not include values for -6 < y < 0



54. What is the value of x in the solution to this system of equations?

y + 2x = -1
y = 1/2 x + 4

F 6/5
G -2
H -10/3
J 3

Answer: G -2

y + 2x = -1
y = 1/2 x + 4
so 1/2x + 4 + 2x = -1
2 1/2 x + 4 = -1
2 1/2 x = -5
x = -2

Checking the answer:
y = 1/2 (-2) + 4 = -1 + 4 = 3

(3) + 2(-2) = -1
3 - 4 = -1
-1 = -1 (check)



END OF EXAM.

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