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The TExES 235 exam has 100 questions and runs 5 hours.
These 10 free TExES 235 questions are organized by exam domain, so you can see how each part of the TExES Mathematics 7-12 (235) blueprint is tested. Reveal the answer and explanation under each question.
A cyclist travels 12 miles to a park at an average speed of 8 miles per hour and returns along the same route at an average speed of 24 miles per hour. What is the cyclist's average speed for the entire round trip?
Correct answer: A - 12 miles per hour
Which of the following sets is closed under addition?
Correct answer: D - The set of multiples of 7
In the complex plane, multiplying a nonzero complex number z by i produces which transformation of the point that represents z?
Correct answer: C - A rotation of 90° counterclockwise about the origin
Let f(x) = (x² - 2x - 3) / (x² - 9). Which statement correctly describes the graph of f at x = 3 and at x = -3?
Correct answer: C - A removable discontinuity at x = 3 and a vertical asymptote at x = -3
The graph of g(x) = f(2x) - 3 is obtained from the graph of y = f(x) by which sequence of transformations?
Correct answer: B - A horizontal compression by a factor of 1/2, then a shift down 3 units
A rocket is launched from a platform 8 feet above the ground with an initial upward velocity of 64 feet per second. Its height in feet t seconds after launch is h(t) = -16t² + 64t + 8. What is the maximum height the rocket reaches?
Correct answer: B - 72 feet
For positive values of x, y, and z, which expression is equivalent to log₅ x + 3 log₅ y - log₅ z?
Correct answer: D - log₅(xy³ / z)
What is the phase shift of the function f(x) = 2 cos(3x - π) + 5?
Correct answer: A - π/3 units to the right
The function f(x) = x³ - 6x² + 9x + 2 has a point of inflection at which x-value?
Correct answer: C - x = 2
The radius of a sphere is increased so that the new sphere's surface area is 9 times the original surface area. The volume of the new sphere is how many times the original volume?
Correct answer: C - 27 times
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