TSIA2 Mathematics Version 1
Practice exam for Texas Success Initiative Assessment 2 (TSIA2) under College Placement Exams (College Exams). 5 sample questions.
Sample Questions
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Question 1
If a +√x= b then x =
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.
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
How many cups of peanut butter must be used in order to make exactly enough peanut butter balls for the children at the party?
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.
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
If a number from set M is selected at random, what is the probability that the number selected will be a factor of 12?
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.
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
The system of equations above has how many solutions? x+4y=3, 2x+8y=4
Correct Answer: A
Rationale: Multiply first equation by 2: 2x + 8y = 6. Compare with second: 2x + 8y = 4. Since 6 ≠4, the system is inconsistent, so no solutions. Thus, the correct answer is None.
Rationale: Multiply first equation by 2: 2x + 8y = 6. Compare with second: 2x + 8y = 4. Since 6 ≠4, the system is inconsistent, so no solutions. Thus, the correct answer is None.
Question 5
Which equation is a correct way to calculate x?
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.
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.