TSIA2 Quantitative Reasoning 3

Question 1

A recipe calls for 2½ cups of flour for 24 cookies. How many cups are needed for 60 cookies?

Accepted Answer

6¼ cups

Answer

60/24 × 2.5 = 2.5 × 2.5 = 6.25 = 6¼ cups.

Question 2

Which inequality is represented by: all real numbers less than −3 or greater than or equal to 5?

Accepted Answer

x < −3 or x ≥ 5

Answer

"Less than −3" means x < −3; "greater than or equal to 5" means x ≥ 5, joined by 'or'.

Question 3

The average of five test scores is 82. Four of the scores are 78, 85, 90, and 76. What is the fifth score?

Accepted Answer

81

Answer

Total needed = 82 × 5 = 410; known sum = 329; fifth score = 410 − 329 = 81.

Question 4

Factor completely: x² − 9x + 20

Accepted Answer

(x − 4)(x − 5)

Answer

Find two numbers that multiply to 20 and add to −9: −4 and −5, giving (x−4)(x−5).

Question 5

A bank account earns simple interest. If $1,500 is invested at 4% per year for 3 years, what is the total interest earned?

Accepted Answer

$180

Answer

I = Prt = 1500 × 0.04 × 3 = $180.

(TSIA2) Texas Success Initiative Assessment 2.0 Practice Test