## Thursday, March 11, 2021

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

More STAAR problems.

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

(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

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?

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

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

y = 1/2 (-2) + 4 = -1 + 4 = 3

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

END OF EXAM.

More problems to come. Comments and questions welcome.

More STAAR problems.

### I also write Fiction!

Check out In A Flash 2020, by Christopher J. Burke for 20 great flash fiction stories, perfectly sized for your train rides.
Available in softcover or ebook at Amazon.

If you enjoy it, please consider leaving a rating or review on Amazon or on Good Reads.

Thank you.