TSI A2 Mathematics Practice Test

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• (2^3)^4 = 2^12 = 4096.
• Which of the following is a divisibility rule for 10?
• Which equation is in point-slope form with slope -2 through point (3, 5)?
• Solve the inequality x^2 - 5x + 6 ≥ 0.
• 82% is equivalent to which decimal?
• What is the sum of 1/2 and 3/8?
• The area of a circle with radius r is A = π r^2. Which option is correct for the area in terms of r?
• Compute 4.2 × 10^3.
• What is (x^3)^2 equal to?
• What is the distance between the points (2, 3) and (5, 11) in the coordinate plane?
• If a triangle has base b and height h, its area is which expression?
• Evaluate (f ∘ g)(2) where f(x) = 3x + 1 and g(x) = x^2.
• Evaluate f(-2) for f(x) = 2x^2 - 3x + 4.
• Probability of drawing an Ace on two draws with replacement.
• What is the sum of the first five terms of the arithmetic series with a1 = 2 and d = 3?
• Solve 5(x - 2) = 3x + 10.
• If the circle has radius 5, what is the diameter?
• Solve for x: 4^x = 64
• Solve the system: 2x + 3y = 12 and 4x + y = 8.
• What is the probability of drawing blue then red without replacement from a bag containing 3 red and 2 blue balls?
• Which expression is a trinomial?
• What is the least common denominator of 3/4 and 1/5?
• Which statement about a square is true?
• If the radius increases from 3 to 5, how does the circle area change?
• What is the median of the data set 2, 4, 6, 6, 8?
• What is the product of conjugates (a+b)(a-b)?
• Evaluate 6a^7 / 2a^2 using coefficient and exponent rules.
• The principal square root of 9 is which value?
• If two shapes are congruent, which statement must be true?
• Let f(x) = x - 1 and g(x) = 3x + 4. Compute (f∘g)(2).
• If x = 6/5 and y = 16/5 satisfy the system 2x + 3y = 12 and 4x + y = 8, what is x + y?
• What is the median of the numbers 1, 2, 3, 4, 5?
• Which of the following is a correct divisibility rule for 2?
• The line through (0,2) and (4,10) has a y-intercept of what value?
• What is the mode of the data set 1, 2, 2, 3, 3, 3?
• Solve the system: x + y = 7 and 2x - y = 1.
• Classify the triangle with sides 5, 12, and 13.
• Find the slope of the line through (1,2) and (4,8).
• When converting a decimal with tenths place to a fraction, what is the initial denominator?
• In the equation ab = c, solve for c.
• Total value of 2 items each worth 25.
• Simplify the rational expression: (2x^2 - 8)/(x^2 - 4), x ≠ ±2
• In a standard deck of 52 cards, what is the probability of drawing a red card on a single draw?
• Complete the square and solve: x^2 + 4x - 5 = 0.
• A trinomial is which of the following?
• Simplify 8b^9 / 2b^4 using the quotient rule.
• What is the perimeter of a triangle with side lengths 3, 4, and 5?
• For the line y = 2x + 3, the x-intercept is which value?
• What is the degree of the polynomial resulting from g(f(x)) when f(x) = 2x + 3 and g(x) = x^2?
• When 0.4 is written as a fraction, which is the fraction before simplification?
• If two similar triangles have perimeters in ratio 3:5 and the smaller triangle has area 72, what is the larger's area?
• Factor x^3 - 3x^2 - x + 3.
• If you roll a fair die twice, what is the probability of getting a 4 on both rolls?
• Divide the polynomial x^3 - 6x^2 + 11x - 6 by (x - 2). What is the quotient?
• Simplify the rational expression (x^2 - 9)/(x^2 - 3x).
• Determine the domain of f(x) = sqrt(2x + 3).
• Find the slope between (-1, 4) and (2, -6).
• What is the volume of a cylinder with radius 3 and height 7?
• Are the lines y = 2x + 3 and y = 2x - 4 parallel?
• Which description best defines a literal equation?
• Which of the following is a divisibility rule for 3?
• The slope of the line through (2, 3) and (2, 7) is:
• Solve 2x + 3 ≤ x + 7.
• Two lines are parallel. Which statement is true?
• Multiply 3.6 by 0.4. What is the product?
• Divide x^3 - 6x^2 + 11x - 6 by (x - 1).
• Convert 1/4 to a decimal.
• A principal of $100 earns 5% simple interest for 2 years. What is the amount after 2 years?
• Find the hypotenuse of a right triangle with legs 7 and 24.
• Factor x^2 - 9.
• What is the degree of the polynomial 5x^4 + 2x^2 - x + 9?
• What is the mean of the numbers 1, 3, 5, 7, 9?
• An ordered pair is defined as which of the following?
• What is the simplified form of x^2 * x^3?
• Solve the quadratic equation: x^2 - 4x - 5 = 0
• Factor and solve: x^2 - 5x + 6 = 0.
• A binomial is defined as which of the following?
• Given x = 3 and the equation 2x + y = 5, what is y?
• What is the circumference of a circle with radius 4?
• Solve the inequality 5x - 7 ≥ 3x + 9.
• Compute the area of a rectangle with length 6 and width 4.
• If a circle has radius 3, its area is which of the following?
• Solve 5x - 9 = 2x + 12.
• If a rectangle has length 2x and width x, and the area is 18, what is x?
• If a1 = 2 and a3 = 18 in a geometric sequence, what is the positive common ratio r?
• What is the mean of the data set 2, 4, 6, 6, 8?
• What are the roots of x^2 - 4x + 4 = 0?
• What is the area of a rectangle with length 7 and width 4?
• The perimeter of a regular hexagon with side length s is?
• A price increases from 40 to 50. What is the percent increase?
• What is the slope of the line that passes through the points (2, 3) and (5, 11)?
• In a right triangle with legs 6 and 8, what is the length of the hypotenuse?
• Two similar triangles have perimeters 30 and 50. If the triangle with smaller perimeter has area 72, what is the area of the larger triangle?
• Factor the quadratic x^2 + 5x + 6.
• Solve for x: 3x - 7 = 2x + 5.
• In the chart graphing method, which statement is true about the formula involving x and y?
• Compute (f∘g)(-1) for f(x) = x - 1 and g(x) = 3x + 4.
• Solve the quadratic equation: x^2 - 5x - 6 = 0
• Which value satisfies the equation 2x^2 - 3x - 2 = 0?
• Simplify (4^x)(4^(-x)).
• Write y = x^2 - 6x + 8 in vertex form.
• The area of a trapezoid with bases b1 and b2 and height h is which expression?
• Convert 0.6 to a percent.
• Solve -3x + 7 > 1
• What is the sum of the interior angles of a pentagon?
• The equation 1/(x+2) + 1/(x-2) = 1 has two solutions x1 and x2. What is the product x1*x2?
• Which is larger: 5/8 or 7/12?
• Conjugate pairs are typically of the form (a+b) and (a-b). Which pair are conjugates?
• In slope-intercept form y = mx + b, what does b represent?
• Convert 2 3/5 to an improper fraction.
• What is the probability of rolling an even number on a fair six-sided die?
• Which equation is in point-slope form with slope 3 through (4, 2)?
• In a rectangle, the dimensions refer to which measurements?
• Solve the system: x + y = 7 and x - y = 1
• What is the leading coefficient of 2x^3 + 9x^2?
• Which of the following is a monomial?
• Evaluate 5 raised to the power of -2.
• Solve the system: x + 2y = 10 and 3x - y = 5
• Solve 2x^2 - 4x - 6 = 0.
• Two similar triangles have linear scale factor 3:2. If the smaller triangle has area 32, what is the area of the larger triangle?
• Factor by grouping: x^3 - 3x^2 + 2x - 6.
• Equivalent fractions are fractions that simplify to the same value when reduced. Which statement best describes equivalent fractions?
• If the radius of a circle is doubled, the area becomes which of the following?
• If f(x) = 2x + 3 and g(x) = x^2, what is g(f(x))?
• What is the area of a triangle with base 10 and height 6?
• What is the radius of a circle with diameter 10?
• The area of a parallelogram with base b and height h is given by which expression?
• What is the mode of the data set 2, 4, 6, 6, 8?
• If a rectangle has length 7 and width 4, what is the sum of its area and its perimeter?
• Solve the equation |x + 3| = 7.
• What is the volume of a rectangular prism with length 4, width 3, and height 5?
• What is the probability of drawing two blue balls in a row without replacement from the same bag?
• Which statement best defines a polynomial?
• For f(x) = (2x+3)/(x+1), what is f(0)?
• Solve the inequality |2x - 5| ≤ 9.
• What is the mean of the data set 2, 4, 4, 5, 5, 5?
• What is the slope of any horizontal line?
• What is the standard formula for percent change (percent increase or decrease)?
• Simplify the product by canceling common factors: (6/25) × (25/8).
• What is the circumference of a circle with radius 5?
• What is the slope of the line through (0,0) and (5,-3)?
• Solve sqrt(x+3) = x - 1.
• Find the common denominator for 2/3 and 5/6.
• Solve the rational equation: (1/(x-1)) + (2/(x+1)) = 3/(x^2 - 1).
• Which of the following is a divisibility rule for 9?
• When dividing x^3 - 6x^2 + 11x - 6 by (x - 1), what is the remainder?
• If a circle has radius 5, what is its area?
• In a right triangle with legs 5 and 12, what is the hypotenuse?
• What is a6 in the arithmetic sequence with a1 = 3 and d = 4?
• Solve the inequality 4x + 3 > 2x - 5.
• If y/3 = 4, what is y?
• With principal 200, rate 5% per year, time 2 years, what is the interest earned and total amount?
• Solve the system: 2x + y = 7 and x - y = 1.
• What is the mean of 2, 4, 4, 5, 5, 5 rounded to two decimals?
• Find the x-intercept of the line y = 2x + 3.
• If g(x) = 3x - 4, what is g(-2)?
• A line moves up 4 units for every 6 units to the right. What is the slope?
• Solve for x: 5x - 12 = 3x + 6
• What is the probability of exactly one head in two flips of a fair coin?
• What is the x-intercept of a line?
• Evaluate f(3) for f(x) = (2x + 3)/(x + 1).
• Reduce the fraction 42/70 to simplest terms.
• Dividing a number by 100 moves the decimal two places to the left. True or false?
• What is the area of a circle with radius 5?
• Find the y-intercept of the line y = -5x + 7.
• The area of a square with side length s is s^2. Which expression represents the area?
• What is the degree of the polynomial 3x^3 + 2x^5 + x?
• Which of the following is a correct factorization of x^2 + 4x - 21?
• What is the leading coefficient of -6x^4 + 7x^3 - x + 9?
• Solve the inequality (x+2)/(x-4) > 0.
• Solve the equation 2x^2 + x - 6 = 0.
• Solve the inequality: 2x - 5 < 9
• In the fraction 4/10, what does the 4 represent?
• What is the area of a circle with diameter 8?
• Which statement about decimals and fractions is true?
• Solve: x^2 - 9 = 0
• Which expression represents the prime factorization of 60?
• Which expression correctly represents slope?
• Solve x^2 - 9 = 0.
• To express 75% as a decimal, what is the result?
• If two lines are perpendicular, their slopes are which of the following?
• What is the average of the first five terms of the arithmetic sequence with a1 = 2 and d = 3?
• If a line has slope 3 and passes through the point (0, -2), what is its y-intercept?
• Solve |2x - 5| = 7.
• What is the length of the diagonal of a square with side length 3?
• For the line y = 2x + 3, the y-intercept is which value?
• Simplify the radical: sqrt(18).
• In the arithmetic sequence with a1 = 3 and d = 4, what is a10?
• Evaluate 2x + 5 when x = 3.
• Find the roots of x^2 - 6x + 8.
• In the intercept method, to find the x-intercept you should set y to which value?
• Which statement best describes an ordered pair (x, y)?
• A line with slope 3 passing through (0, -2) has equation?
• What is the range of the function f(x) = sqrt(x)?
• Factor x^2 + 4x - 21.
• What is the y-intercept of the line y = -3x + 6?
• If a circle has area 36π, what is the radius?
• Solve the system of equations: 2x + y = 5 and x - y = 1.
• Two figures that are congruent have which property?
• Evaluate (2^3)^4.
• If a line y = 2x + 2 has x = 0, what is y?
• Which expression is a binomial?
• If a line has slope m = 0, what type of line is it?
• For a right triangle with legs 6 and 8, what is its area?
• The equation 1/(x+2) + 1/(x-2) = 1 has two solutions. What is the sum of the solutions?
• Congruent figures are defined as being what?
• If a fair six‑sided die is rolled, what is the probability of rolling a 4?
• Domain of f(x) = sqrt(x - 4)
• Evaluate (2^3)^4.
• Using the quotient rule, simplify x^5 / x^2.
• Which equation is in slope-intercept form?
• Evaluate f(-3) for f(x) = x^2 - 4.
• What is the area of a circle with radius 3?
• In the geometric sequence with a1 = 2 and r = 3, what is a2?
• What is the area of a circle with diameter 10?
• What is the degree of the polynomial 5x^2 + 8x + 1?
• A line passes through (0,2) and (4,10). What is its slope and equation?
• Express 0.82 as a percent.
• Solve for x: 2x - 4 = 3x + 6.
• Solve for x: (x + 3)/(x - 1) = 5
• If a rectangle has length 3x and width x and 3x^2 = 75, find x.
• What is the domain of the function f(x) = sqrt(3x - 6)?
• Convert 1 1/2 to an improper fraction.
• Solve for y: 4y + 3 = 2y - 1
• Solve the system of equations given by y = 2x + 3 and y = -x + 5.
• If you draw two cards from a standard deck without replacement, what is the probability that both cards are red?
• What is the probability of getting zero heads in two flips of a fair coin?
• To reduce 4/10 to the lowest terms, which number do you divide both numerator and denominator by?
• Convert 0.125 to a fraction in simplest terms.
• What is the greatest common factor of 4 and 10?
• A circle has area 25π. What is its radius?
• Solve for x: 3x - 7 = 2x + 5
• Solve for x: x - 3 = 4.
• If f(x) = 3x + 1, what is f(5)?
• Using the slope formula m = (y2 - y1) / (x2 - x1), what is the slope of the line through (2, 3) and (5, 11)?
• What is the mode of the numbers 1, 1, 2, 3, 4?
• What is the probability of getting two heads when flipping a fair coin twice?