TSIA2 Math Practice Test

Question 1 of 5

If a +√x= b then x =

A. √b-√a B. √(b-1) C. (b-a)² D. b²-a²

Correct Answer: C

Rationale: Solve for x: a + √x = b. Subtract a: √x = b - a. Square both sides: x = (b - a)². Thus, the correct answer is (b-a)².

Question 2 of 5

How many cups of peanut butter must be used in order to make exactly enough peanut butter balls for the children at the party?

A. 10 B. 12 C. 18 D. 24

Correct Answer: C

Rationale: Each child gets 4 balls, so 120 children need 120 * 4 = 480 balls. The recipe makes 40 balls using 1.5 cups peanut butter. For 480 balls, need 480 / 40 = 12 batches. Peanut butter = 12 * 1.5 = 18 cups. Thus, the correct answer is 18.

Question 3 of 5

If a number from set M is selected at random, what is the probability that the number selected will be a factor of 12?

A. 0.1 B. 0.2 C. 0.4 D. 0.5

Correct Answer: C

Rationale: Set M = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20}, total = 10 numbers. Factors of 12 in M: {2, 4, 6, 12}, count = 4. Probability = 4/10 = 0.4. Thus, the correct answer is 0.4.

Question 4 of 5

The system of equations above has how many solutions? x+4y=3, 2x+8y=4

A. None B. One C. Two D. Infinitely many

Correct Answer: A

Rationale: Multiply first equation by 2: 2x + 8y = 6. Compare with second: 2x + 8y = 4. Since 6 â‰ 4, the system is inconsistent, so no solutions. Thus, the correct answer is None.

Question 5 of 5

Which equation is a correct way to calculate x?

A. sin x=5,000 /7,000 B. sin x= 7,000 /5,000 C. tan x= 5,000/7,000 D. tan x=7,000/5,000

Correct Answer: C

Rationale: Form a right triangle: opposite = 5,000 ft (height), adjacent = 7,000 ft (runway). Angle x is at the plane. Tan x = opposite/adjacent = 5,000/7,000. Thus, the correct answer is tan x= 5,000/7,000.

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