Praxis Mathematics (5165) Practice Test

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• Solve the system 2x ≥ 4 and 2x ≤ 6. The solution for x is
• Compute the area of a triangle with base 8 and height 5.
• In the expression 15 − 7, which term is the minuend?
• Which statement defines a proper fraction?
• In the expansion of (1+x)^4, what is the coefficient of x^3?
• If a circle has radius r, the diameter is equal to which expression?
• Which of the following is NOT a monomial?
• Sum of arithmetic series 3, 7, 11, ..., with n terms. Provide S_n.
• For a quadratic y = ax^2 + bx + c, the x-coordinate of the vertex is
• Solve the system using elimination: 3x + 4y = 11 and -3x + 4y = 1. Which pair (x, y) satisfies both equations?
• Which of the following is a polynomial?
• Approximately what percent of data in a normal distribution lies within one standard deviation of the mean?
• What is the probability of rolling a 6 on a fair six-sided die?
• A monotone function is one that constantly increases or decreases. Which description is correct?
• If f is an even function, which of the following describes f(-x)?
• If f(x) = sqrt(x) and g(x) = x^2, what is the domain of f(g(x))?
• The determinant of matrix [[a,b],[c,d]] is ad - bc. If ad - bc = 0, what does that say about the matrix?
• What is the midpoint formula for two points (x1, y1) and (x2, y2)?
• Solve e^x = 7.
• When solving an inequality involving an absolute value, what is the standard approach?
• A line has slope -2 and passes through (0,4). What is its equation?
• A rational expression is defined as?
• A linear function passes through the origin and the point (2,5). What is its equation?
• What does it mean that the x-value is an independent variable?
• An odd function has which property?
• What is the slope of a vertical line?
• Which of the following functions is even?
• Express 0.375 as a fraction in simplest terms.
• Solve the system: 2x + 3y = 7 and x - y = 1.
• If a function f is shifted to the right by 3 units, which is the new expression?
• Output variable is the same as which term?
• If a function is one-to-one, what can be said about its inverse?
• In the expansion of (1 + x)^4, what is the coefficient of x^2?
• Which statistic is defined as the most frequently occurring value in a data set?
• Solve log_b(x) = c for x in terms of b and c.
• Given f(x) = sqrt(x) and g(x) = x^2, what is the simplified form of f(g(x))?
• Which statement defines a quadratic function?
• State the Pythagorean theorem for a right triangle with legs a and b and hypotenuse c.
• A double inequality example is -c < ax + b < c. This form is best described as
• In a circle, what is the relationship between the diameter and the radius?
• In a quadratic function y = ax^2 + bx + c, what must be true about the coefficient a to ensure a parabola?
• Evaluate f(2) for f(x) = (2x + 3)/(x - 1).
• What best describes an operation in mathematics?
• What is the area of a trapezoid with bases 4 and 7 and height 5?
• Which statement best defines a mixed number?
• What term describes the result of a subtraction operation?
• For the inequality y > 2x + 2, how should you shade on the graph?
• When graphing two-variable compound inequalities with "and", the shaded region is
• If a geometric series has first term a and ratio r with |r|<1, what is the sum to infinity?
• If the correlation coefficient r for two variables is 0.85, what does that indicate?
• When solving a compound inequality that uses "and", what is the recommended method?
• A double inequality like -2 < 3x + 1 < 7 is equivalent to which statement?
• What is the probability that the sum of two fair six-sided dice equals 7?
• Which statement correctly defines the greatest common factor (GCF)?
• Which term describes a number that divides two or more given numbers?
• Which statement about the one-to-one property is correct?
• According to PEMDAS, multiplication and division are performed in which direction?
• A statement like -c<ax+b<c is an example of a double inequality.
• Which statement is true about a rational expression?
• Which statement correctly describes the domain of a function?
• Which of the following functions is odd?
• Which is the smallest multiple that two numbers have in common?
• Which form represents a one-variable linear equation?
• If P(A) = 0.25, P(B) = 0.4, and A and B are disjoint, P(A ∪ B) is?
• If f(x) = 2x^2 - 3x + 4, what is f(3)?
• Which of the following is a correct definition of a composite number?
• Which of the following is a composite number?
• Which of the following statements about the sine function is correct?
• Which value is in the domain of g(x) = sqrt(x - 2)?
• Which statement correctly describes an integer?
• If two events A and B are independent with P(A)=1/2 and P(B)=1/3, what is P(A ∩ B)?
• Which statement defines a single variable linear expression?
• Which statement best defines the common factor?
• In an inverse proportion, if speed doubles, travel time:
• Completing the square is a method used to:
• Which best describes manipulation of functions?
• Which statement correctly identifies the standard form of a complex number?
• If f is increasing and continuous on its domain, what can be said about f^{-1}?
• Which form represents a linear function?
• If events A and B are independent, P(A ∩ B) equals what?
• What is the equation of a circle centered at the origin with radius 5?
• Which operation is performed first in the order of operations known as PEMDAS?
• Which of the following numbers is an integer?
• Which statement describes a many-to-one function?
• The line with slope -3 passing through (2,7) has which slope-intercept form?
• If a function is differentiable on (a,b) and increasing on that interval, what can be said about f'(x) on (a,b)?
• In a direct proportion, as one quantity increases, the other:
• Which statement describes a rational number that has a repeating decimal expansion?
• If a linear function is defined for all real numbers, what is its domain?
• In the data set {1, 2, 2, 3, 3, 3, 4}, what is the mode?
• Compute f^{-1}(7) for f^{-1}(x) = (x + 3)/(x - 2).
• Input variable is the same as which term?
• Which of the following is a mixed number?
• Which description best defines a polynomial function?
• The root of the equation ax + b = 0 is x = ?
• The vertex of the parabola y = ax^2 + bx + c occurs at x = -b/(2a). Which statement is correct?
• The range of a function is the set of all possible output values. Which statement describes the range?
• Which expression correctly gives the nth term of an arithmetic sequence with first term a1 and common difference d?
• Domain of g(f(x)) where f(x) = sqrt(x) and g(x) = x^2?
• Find the inverse function of h(x) = x^3.
• The variance of the dataset {2,4,4,4,5,5,7,9} is which value?
• Which technique converts a quadratic equation from standard form into perfect square form?
• Graphing a compound inequality of the form x < 2 or x > 5 results in
• If ad - bc ≠ 0, the 2x2 matrix [[a,b],[c,d]] is invertible."
• If -2x < 6, after dividing by -2, which inequality is correct?
• If h(x) = x^3, what is h^{-1}(27)?
• An inequality that is true for all real numbers is called an absolute inequality.
• Which of the following is a linear expression?
• The axis of symmetry of the parabola y = ax^2 + bx + c is x = -b/(2a). Which statement is true?
• Evaluate f(5) for f(x) = |x - 3|.
• In a direct proportion, if the first quantity doubles, the second:
• If a function g(x) is transformed by shifting left by 4, what is the new expression?
• In inverse proportion, as one quantity increases, the other:
• In the subtraction 14 − 9, which number is the subtrahend?
• Which function has a period of pi and is known for vertical asymptotes at multiples of pi/2?
• What is the product of 12.3 and 2.56?
• Constant of proportionality is the constant ratio in a proportional linear relationship. For example, when one lemon costs 0.25, two lemons cost 0.50. What is the unit price per lemon?
• If a number can be expressed as a ratio of two integers with a nonzero denominator, it is called a...
• The inequality |x - 1| < 4 has solution set
• Find the slope-intercept form of the line through (2,5) and (4,9).
• Which statement about real numbers is true?
• In the subtraction 12 − 7, which number is the subtrahend?
• Evaluate f(-1) for f(x) = 2x^2 - 3x + 4.
• The sum of interior angles of a pentagon is how many degrees?
• On a standard six-sided die, which is the probability of rolling an odd number?
• For the set {1, 3, 4, 7, 8, 9}, what is the median?
• Which form represents a square root function?
• In Pascal's triangle, the sum of the coefficients in row n equals what?
• A proportion is best described as:
• Which term means the operation of doubling a number?
• If a fair die is rolled, what is P(even)?
• Solve for x: 3x - 5 = 16.
• Which of the following is a linear function?
• A regular hexagon has interior angles of what measure?
• Which of the following is a rational number?
• A geometric series has ratio r with |r|<1. Which statement is true?
• What is the name of a polygon with 6 sides?
• Graphing the compound inequality x ≤ 2 and x ≥ 5 yields which solution set?
• Which of the following is a real number that is not rational?
• The radian measure of a straight angle is equal to which value?
• Which statement describes a rational function?
• In the expression 15 − 7, which term is the subtrahend?
• For row n = 5 in Pascal's triangle, the sum of the coefficients is 32. Which option shows that sum?
• Which equation correctly relates part P, whole W, and percent?
• Solve the inequality 2x + 5 > 3x - 1.
• Which of the following is an irrational number?
• Which statement about real numbers is true?
• Which expression represents division?
• The domain of sqrt(x) is which of the following?
• Which statement describes an improper fraction according to the given definition?
• Which statement correctly defines the least common multiple (LCM)?
• What does it mean that the y-value is a dependent variable?
• What is the standard description of complex numbers?
• Which statement correctly describes the cosine function?
• Which statement characterizes the tangent function?
• What is the midpoint of the points (2, 3) and (4, 7)?
• Complete the square for y = a^2 - 4a + 5.
• Which statement correctly distinguishes a single-variable linear expression from a linear expression with multiple variables?
• Find the inverse of f(x) = (2x + 3)/(x - 1).
• For the quadratic equation x^2 - 4x - 5 = 0, what is the value of the discriminant?
• Transcendental functions are defined as what?
• What is the slope of the line passing through (0,0) and (3,-6)?
• Solve log base 2 of x equals 5. What is x?
• Regarding a rational function f(x) = p(x)/q(x), what must be true for the function to be defined?
• Which statement best defines a function?
• In sampling, which quantity is used to estimate a population parameter?
• Which is the identity function?
• Which term is NOT listed as a synonym for the equals sign?
• Determine the domain of g(x) = sqrt(x - 2).
• In a function, how is the x-value related to the y-value?
• An even function has which property?
• A constant function is best described as.
• Compute the standard deviation of the dataset {2,4,4,4,5,5,7,9}.
• Which graph begins at the origin (0, 0)?
• In the subtraction 9 − 5, which number is the minuend?
• Solve x^2 - 4x - 5 = 0 by factoring. Which of the following lists the solutions?
• Two or more inequalities joined together by the words and or or describe a ...
• Factor x^2 - 5x + 6.
• Which measure of central tendency is least affected by outliers?
• Which statement defines a polynomial?