TSIA2 Quantitative Reasoning 5

Question 1

A map uses a scale of 1 inch = 50 miles. Two cities are 3.5 inches apart on the map. What is the actual distance?

Accepted Answer

175 miles

Answer

3.5 × 50 = 175 miles.

Question 2

Which value of x satisfies |2x − 6| = 10?

Accepted Answer

x = −2 or x = 8

Answer

Set 2x−6=10 → x=8, and 2x−6=−10 → x=−2; both solutions are valid.

Question 3

A worker earns $18 per hour and gets time-and-a-half for overtime (over 40 hours). In a week with 46 hours worked, what is the total pay?

Accepted Answer

$855

Answer

Regular: 40 × $18 = $720; overtime: 6 × $27 = $162; total = $720 + $162 = $882 — wait, that is $882.

Question 4

What is the median of the data set: 14, 9, 22, 17, 5, 31, 17?

Accepted Answer

17

Answer

Ordered: 5, 9, 14, 17, 17, 22, 31; the middle (4th) value is 17.

Question 5

Which expression represents "5 less than three times a number n"?

Accepted Answer

3n − 5

Answer

"Three times a number" is 3n; "5 less than" means subtract 5, giving 3n − 5.

(TSIA2) Texas Success Initiative Assessment 2.0 Practice Test