Browse all practice questions for the 8th Grade FAST Mathematics Pre-Algebra Practice Test. Search by topic, open any question and review its full explanation, then test yourself in the practice quiz.

8th Grade FAST Mathematics Pre-Algebra Practice Test 2026 - Free Pre-Algebra Practice Questions and Study Guide course image
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  • Which statement describes a trapezoid?
  • Convert the fraction 7/5 to a mixed number.
  • In a function, which value is the independent variable?
  • Which term describes a transformation that turns a figure around a point by a certain angle?
  • With P = 100, r = 0.08, t = 5, the amount A is approximately which value?
  • Which term describes the first number in an ordered pair?
  • What best describes the rate of change?
  • What describes how likely it is that an event will occur?
  • Solve the inequality 3t - 7 > 11.
  • Approximate the value of (1.08)^5.
  • If the two lines are parallel and distinct, the solution set is
  • What is the constant term of the polynomial x^3 - 6x^2 + 11x - 6?
  • Which property is true for a parallelogram?
  • Which transformation turns a figure around a fixed point by a specified angle?
  • If two lines have different slopes, how many intersection points do they have?
  • What is the circumference of a circle with radius 5? (Use π ≈ 3.14)
  • Which theorem states that in a right triangle, the squares of the legs sum to the square of the hypotenuse?
  • Which graph is commonly used to measure change over time?
  • Factor x^3 - 6x^2 + 11x - 6.
  • What is the sum of the roots of x^2 - 5x + 6 = 0?
  • Simplify: 4(2a - 3) + 5
  • Compute (2x)^3.
  • Which description defines an isosceles trapezoid?
  • What best describes a relation in mathematics?
  • Factor: 8x^2 + 12x
  • What is the defining property of a rectangle?
  • Which item is a possible result of a random process or trial?
  • Convert the fraction 3/8 to a decimal.
  • Solve for x: (2x)/3 = 8
  • If two equations represent the same line, how many solutions are there?
  • Two points (2,5) and (5,9) lie on a line. What is the slope?
  • If two lines are parallel and not the same line, how many solutions does the system have?
  • Which statement accurately describes a linear function?
  • Solve for x: 2^x = 16.
  • Factor x^2 - 5x + 6.
  • Which statement best describes scientific notation?
  • Expand the product (x + 4)(x - 2).
  • The equations y = 3x + 1 and y = 3x + 4 represent parallel lines. How many solutions does the system have?
  • What is the sum of the interior angles of a quadrilateral?
  • Which is the equation in slope-intercept form of the line through (2,3) and (6,7)?
  • Solve the system of equations: x + y = 5 and x - y = 1.
  • What is the term for a set of two or more equations with the same variables?
  • Solve the proportion 4/9 = x/27 for x.
  • Expand the product (x - 1)(x + 6).
  • Find the greatest common factor of 12x^3 and 18x^2.
  • Which graph is used to show the relationship between two sets of data?
  • If a relation contains the points (1,2) and (3,4), what is the domain?
  • Which term describes the second number in an ordered pair?
  • Which statement describes a square?
  • In a coordinate plane, what is the name of the horizontal axis?
  • Expand the product (x - 3)(x + 3) and express in standard form.
  • In an ordered pair, which number is the second coordinate?
  • Solve for y: 2(y - 4) = 3y + 6
  • Evaluate f(x) = 2x + 3 at x = -2.
  • Which term describes a transformation that slides a figure in a given direction for a certain distance?
  • Two lines y = 2x + 3 and y = -x + 9 intersect at which coordinates?
  • If the system consists of two identical equations, what is the number of solutions?
  • Which term describes a transformation that changes the size of an object, but not the shape?
  • Solve for x: 2(3x - 4) = 3x + 2
  • Which statement correctly classifies the numbers sqrt(2), 3/5, and pi as rational or irrational?
  • Which statement correctly defines a trapezoid?
  • Which of the following describes a quadrilateral?
  • Which term describes the probability model that describes what should occur in an experiment?
  • If you simplify x^2 / x^5, what is the result?
  • The probability that should occur or what we expect to happen in an experiment is called what?
  • Slope of the line through (2,3) and (6,7) is
  • According to the Power Rule, what is (x^4)^3 equal to?
  • Which statement defines an obtuse angle?
  • Solve the proportion: 3/x = 9/4 for x.
  • Evaluate f(x) = -3x + 7 when x = 4.
  • Which is a valid factorization of x^2 - 9?
  • Solve the system: x + y = 7 and 2x - y = 3.
  • Which statement describes a rectangle?
  • If one equation is y = 2x + 3 and the other is y = -x + 4, the system has
  • Solve for x: 4x - 5 = 3x + 9
  • Factor: 6x^2 + 9x
  • Which is the correct unit for the volume in the cylinder problem?
  • Which is the simplified form of sqrt(50)?
  • Two equations describe the same line. How many distinct solutions exist?
  • Solve for x: 7x - 4 = 3x + 20
  • Power Of A Product: Which identity is correct for (ab)^m?
  • The equations x + y = 2 and 2x + 2y = 4 describe the same line. How many solutions are there?
  • Convert 4500 to scientific notation.
  • Which of the following is an irrational number?
  • What is sqrt(49)?
  • Solve the system: x + 2y = 7 and 3x - y = -1. The solution is
  • Which symbol denotes greater than or equal to?
  • Solve |2x - 5| = 9.
  • If a^(-3) = 1/125, what is a?
  • Which graph is commonly used to measure time and show change across a period?
  • Factor x^2 - 9.
  • Which statement about function mapping is true?
  • Solve x^2 + 6x + 5 = 0.
  • Which statement about a function is true?
  • Two lines are parallel and distinct. How many solutions does the system have?
  • In a 45-45-90 triangle with leg length 4, what is the length of the hypotenuse?
  • Which quadrilateral is defined as having opposite sides parallel and equal in length?
  • If a line has slope 3 and passes through (0,0), what is y when x = 4?
  • Which component of the slope-intercept form y=mx+b represents the y-intercept?
  • What is an investigation or procedure with varying results called?
  • If the two equations describe the exact same line, what is the nature of the solution set?
  • What is a polygon?
  • Expand (x - 1)(x - 2)(x - 3) to standard form.
  • Which statement describes Rational Numbers?
  • What are the slope and y-intercept of the line y = -2x + 5?
  • What is the percent increase from 40 to 52?
  • Irrational Numbers are decimals that do not terminate or repeat. Which option best reflects this?
  • Which equation is in slope-intercept form?
  • Which formula gives the measure of interior angles of a polygon with n sides?
  • Which angle measures 180 degrees?
  • Identify the transformation that preserves size and repositions the figure.
  • In a right triangle with legs 5 and 12, the hypotenuse is
  • Two non-parallel lines intersect at how many points?
  • Solve x^2 - 9 = 0.
  • In a function, which value is the dependent variable?
  • Which term describes a transformation that flips a figure over a line?
  • If a fair six-sided die is rolled, what is the probability of landing on an even number?
  • Which statement defines a function?
  • What is the probability of an event not happening called?
  • Which statement describes a rhombus?
  • In a coordinate plane, what is the name of the vertical axis?
  • Which statement describes a linear function?
  • Which statement defines a straight angle?
  • Which statement describes Real Numbers?
  • The system given by 3x + y = 6 and 6x + 2y = 12 has
  • Solve the system: x + y = 1 and x − y = 0. How many solutions are there?
  • Which statement describes the domain of a relation?
  • Which graph is arranged with one variable on the x-axis and another on the y-axis, often used to study relationships between two quantities?
  • What are adjacent angles?
  • If 0.25N = 15, what is N?
  • Solve for x: 3x + 7 = 22
  • Using the Quotient Rule, what is x^a / x^b equal to?
  • Which statement best describes a parallelogram?
  • For a = x and b = 3, which expression represents a^2 − b^2?
  • Solve for x: (1/2)x - 3 = 7
  • Solve for x: 5/x = 2
  • Multiply: (2/3) * (9/4)
  • Which statement describes supplementary angles?
  • Solve for x: 4^x = 64.
  • Which expression is the sum of the interior angles of a polygon with n sides?
  • Which term names the side opposite the right angle in a right triangle?
  • Simplify the expression (3x^2 - 6x) / (9x).
  • If a relation contains the points (1,2) and (3,4), what is the range?
  • What is the volume of a rectangular prism with dimensions 7 cm by 3 cm by 2 cm?
  • Which symbol represents less than?
  • Which term defines probability based on repeated trials of an experiment?
  • If a = 2 and b = 5, what is (ab)^2?
  • Which expression correctly represents the slope formula?
  • Compute the product (6.2 × 10^4) × (3.1 × 10^2). Express the result in scientific notation.
  • Which statement describes complementary angles?
  • Distance between points (1,2) and (4,6) is
  • Area of a rectangle with length 9 and width 4 is
  • What is a possible result from the experiment?
  • What is the product of the roots of x^2 - 5x + 6 = 0?
  • Simplify: 3(a - 4) + 2(2a + 5)
  • Convert the repeating decimal 0.333... to a fraction.
  • Which statement describes a non-linear function?
  • Solve for x: 3x + 1 = 10
  • In an ordered pair, which number is the x-coordinate?
  • Area of a triangle with base 8 and height 5 is equal to
  • What is the percent increase from 20 to 30?
  • Vertical angles are defined as what?
  • Which axis runs left to right in the coordinate plane?
  • Simplify the ratio 18:24.
  • Compute the sum 1/(x+2) + 3/(x-2) and express as a single fraction.
  • What is the slope of the line through points (0, 4) and (3, -2)?
  • Which symbol represents less than or equal to?
  • Which statement defines a right angle?
  • Calculate the volume of a cylinder with radius 3 cm and height 5 cm.
  • Which term is the probability of an event not happening?
  • Which statement correctly defines an acute angle?
  • Evaluate: (3/4) + (5/8) - (1/2)
  • Which statement describes the range of a relation?
  • Find the smaller solution of the equation 3|2x - 5| = 12.
  • What is the set of all possible outcomes called?
  • If a random integer from 1 to 3 is chosen, what is P(1 or 2)?
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