Question 1
Use 3.16 < √10 < 3.17, 3.142 < 22/7 < 3.143, and 3.141 < π < 3.142. Place -√10, -3.18, -22/7, and -π in order from least to greatest.
Show answer & explanation
Correct answer: C - -3.18, -√10, -22/7, -π
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These 10 free TSIA2 questions are organized by exam domain, so you can see how each part of the Texas Success Initiative Assessment 2.0 Mathematics (TSIA2) blueprint is tested. Reveal the answer and explanation under each question.
Use 3.16 < √10 < 3.17, 3.142 < 22/7 < 3.143, and 3.141 < π < 3.142. Place -√10, -3.18, -22/7, and -π in order from least to greatest.
Correct answer: C - -3.18, -√10, -22/7, -π
One meal-delivery service charges C = 6.50 + 2.25m dollars for m meals. Another charges C = 2.80m dollars. Identify the accurate comparison.
Correct answer: B - Only the second is proportional; the first has a nonzero starting charge
During a severe-weather warning, a shelter may hold no more than 180 people. It already contains 96 people, and each arriving bus carries 24 people. Let b be the number of complete busloads admitted. Choose the model that enforces both the capacity limit and the whole-busload condition.
Correct answer: B - 96 + 24b ≤ 180, where b is a nonnegative integer
An analyst models two constraints with 3x + 2y = 14 and 9x + 6y = 45. Before solving for x or y, the graphs can be classified as:
Correct answer: D - Distinct parallel lines, so the system has no solution
A linear function has f(-2) = 11, f(1) = 2, and f(5) = -10. The function is represented by:
Correct answer: D - f(x) = -3x + 5
A laptop is worth $1,600 when purchased. Its estimated values after 1, 2, and 3 years are $1,360, $1,156, and $982.60. For t years after purchase, the model that fits this pattern is:
Correct answer: A - V(t) = 1600(0.85)^t
An emergency-access ramp rises 30 inches over a horizontal run of 6 feet. A straight rail will connect the two endpoints. Using 1 foot = 12 inches, the minimum rail length is:
Correct answer: C - 78 inches
A three-dimensional prototype is enlarged by a scale factor of 4/3, with every linear dimension changing proportionally. Complete the comparison correctly.
Correct answer: D - They are similar but not congruent; surface area scales by 16/9 and volume by 64/27
A tutoring center records completion times of 32, 34, 35, 36, 38, 39, and 96 minutes. To summarize a typical time and the spread without letting the unusually high value dominate, select the most appropriate pair.
Correct answer: B - Median and interquartile range
A shipment contains 10 smoke detectors, 2 of which are defective. An inspector randomly selects 2 detectors without replacement. The probability that at least one selected detector is defective equals:
Correct answer: A - 17/45
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