TEAS Workbook Math Exam 2

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    Which expression yields a quotient with no remainder?

    • 5 ÷ 5
    • 26 ÷ 5
    • 81 ÷ 40
    • 365 ÷ 87
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TEAS Workbook Math Exam 2 - Quiz

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  • 2. 

    Change 2.5 to a fraction. Simplify completely. 

    Correct Answer
    A.
  • 3. 

    The level of a river during a flood was 39.45 feet. After a week, the water level declined to 18.97 feet. What was the amount of decrease in feet?

    • 20.38

    • 20.48

    • 21.38

    • 21.48

    Correct Answer
    A. 20.48
    Explanation
    B. The correct solution is 20.48 because 39.45 - 18.97 = 20.48 feet. See Lesson: Solving Real World Mathematical Problems.

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  • 4. 

    Change 0.375 to a fraction. Simplify completely. 

    Correct Answer
    A.
  • 5. 

    Solve. x3 = -216

    • -6

    • -4

    • 4

    • 6

    Correct Answer
    A. -6
    Explanation
    A. The correct solution is -6 because the cube root of -216 is -6. See Lesson: Powers, Exponents, Roots and Radicals.

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  • 6. 

    Find the mode for the data set 42, 45, 44, 44, 45, 42, 45, 44, 45, 46, 42, 44, 41, 48, 47, 46, 45, 42, 42, and 44.

    • 42, 43

    • 44, 45

    • 42, 44, 45

    • 42, 43, 44, 45

    Correct Answer
    A. 42, 44, 45
    Explanation
    C. The correct solution is 42, 44, and 45. The modes are 42, 44, and 45 because these values appear four times in the data set. See Lesson: Interpreting Graphics.

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  • 7. 

    What is the quotient of a number divided by itself?

    • -1

    • 0

    • 1

    • Not enough information

    Correct Answer
    A. 1
  • 8. 
    Divide. - ProProfs

    Divide.

    Correct Answer
    A.
  • 9. 
    - ProProfs

    Correct Answer
    A.
    Explanation
    See Lesson: Multiplication and Division of Fractions.

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  • 10. 

    Karida has a part-time job. She works 4.25 hours on Thursday and Friday and 6.5 hours on Saturday and Sunday. What is her hourly rate if her check is $268.75?

    • $8.50

    • $12.50

    • $14.50

    • $21.50

    Correct Answer
    A. $12.50
    Explanation
    B. The correct solution is $12.50 because she worked a total of 4.25(2) + 6.5(2) = 8.5 + 13 = 21.5 hours. The hourly rate is 268.75 ÷ 21.50 = $12.50. See Lesson: Solving Real World Mathematical Problems.

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  • 11. 

    Which procedure is impossible?

    • Adding two negative numbers

    • Subtracting a negative number from zero

    • Adding two quantities with different units

    • Placing negative numbers on the number line

    Correct Answer
    A. Adding two quantities with different units
    Explanation
    C. The correct solution is adding two quantities with different units. To add quantities, they must have the same unit. For instance, adding a quantity of meters to a quantity of grams is impossible. See Lesson: Basic Addition and Subtraction.

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  • 12. 

    Solve the system of equations. x + 3y = 34 -3x + y = -12

    • (-7, -9)

    • (-9, -7)

    • (7, 9)

    • (9, 7)

    Correct Answer
    A. (7, 9)
  • 13. 

    Evaluate the expression. (3 x (4 + 9) ÷ 13 - 2) + 1

    • -2

    • 0

    • 2

    • 5

    Correct Answer
    A. 2
    Explanation
    C. Follow the order of operations (the PEMDAS mnemonic). Begin with the innermost parentheses and work outward, multiplying and dividing from left to right before adding and subtracting from left to right.
    (3 × (4 + 9)  ÷ 13 – 2) + 1
    (3 × 13 ÷ 13 – 2) + 1
    (39  ÷ 13 – 2) + 1
    (3 – 2) + 1
    1 + 1
    2
    See Lesson: Basic Multiplication and Division.

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  • 14. 

    Multiply. (3x2 - 2)(x - 3)

    • 3x3 + 9x2 - 2x + 6

    • 3x3 - 9x2 - 2x + 6

    • 3x3 + 9x2 - 2x - 6

    • 3x3 - 9x2 - 2x - 6

    Correct Answer
    A. 3x3 - 9x2 - 2x + 6
  • 15. 

    Find the range for the data set 34, 45, 27, 29, 36, 60, 52, 48, 41, 65, 44, 50, 64, 58, 47, and 31.

    • 3

    • 5

    • 36

    • 38

    Correct Answer
    A. 38
    Explanation
    D. The correct solution is 38. The difference between the highest value of 65 and the lowest value of 27 is 38. See Lesson: Interpreting Graphics.

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  • 16. 

    Solve for the system of equations. -4x + 3y = 30 3x + 4y = 15

    • (3, -6)

    • (-3, 6)

    • (-3, -6)

    • (3, 6)

    Correct Answer
    A. (-3, 6)
  • 17. 

    Solve the equation for P. A= P + Prt

    Correct Answer
    A.
  • 18. 

    Solve the system of equations. 3x + 5y = 19 5x - 2y = 42

    • (8, -1)

    • (-8, 1)

    • (2, 3)

    • (3, 2)

    Correct Answer
    A. (8, -1)
  • 19. 

    Convert 0.75 kilograms to grams.

    • 0.0075 grams

    • 0.075 grams

    • 75 grams

    • 750 grams

    Correct Answer
    A. 750 grams
  • 20. 

    The circumference of a circle is 92 centimeters. Find the area of the circle to the nearest tenth of a square centimeter. Use 3.14 for π.

    • 669.3

    • 858.5

    • 1,338.6

    • 2,695.7

    Correct Answer
    A. 669.3
    Explanation
    A. The correct solution is 669.3. C = 2πr; 92 = 2(3.14)r; 92 = 6.28r; r ≈ 14.6 centimeters. A = πr2 ≈  3.14 (14.6)2 ≈  3.14(213.16) ≈  669.3 square centimeters. See Lesson: Circles. 

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  • 21. 

    Simplify. (x2y3z-1)3

    Correct Answer
    A.
  • 22. 
    - ProProfs

    Correct Answer
    A.
  • 23. 

    Convert 72 pounds to kilograms.

    • 32.73 kilograms

    • 74.20 kilograms

    • 144.0 kilograms

    • 158.4 kilograms

    Correct Answer
    A. 32.73 kilograms
  • 24. 
    Simplify. - ProProfs

    Simplify.

    Correct Answer
    A.
  • 25. 

    A circular manhole cover has a circumference of 183 inches. Find the area to the nearest tenth of a square inch. Use 3.14 for π.

    • 574.6

    • 846.8

    • 2,298.5

    • 2,658.9

    Correct Answer
    A. 2,658.9
    Explanation
    See Lesson: Circles.

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  • 26. 

    Perform the operation.  (3y3 - 4y2 + 6y + 3) - (2y3 - 3y)

    • 5y3 - 4y2 + 3y + 3

    • Y3 - 4y2 + 3y + 3

    • 5y3 - 4y2 + 9y + 3

    • Y3 - 4y2 + 9y + 3

    Correct Answer
    A. Y3 - 4y2 + 9y + 3
    Explanation
    See Lesson: Polynomials.

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  • 27. 

    Convert 9 meters to yards. 

    • 4.09 yards

    • 8.23 yards

    • 9.84 yards

    • 12.28 yards

    Correct Answer
    A. 9.84 yards
  • 28. 

    What is the difference between natural numbers and whole numbers?

    • They are the same.

    • The whole numbers include zero, but the natural numbers exclude zero.

    • The natural numbers only go to 10, but the whole numbers have no limit.

    • The whole numbers include negative numbers, but the natural numbers do not.

    Correct Answer
    A. The whole numbers include zero, but the natural numbers exclude zero.
    Explanation
    B. The correct solution is the whole numbers include zero, but the natural numbers exclude zero. The natural or “counting” numbers are 1, 2, 3, 4,…. To get the whole numbers, just include 0 with the natural numbers. See Lesson: Basic Addition and Subtraction.

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  • 29. 

    The area of a circular drum top is 175 square inches. Find the diameter to the nearest tenth of an inch. Use 3.14 for π.

    • 7.5

    • 15.0

    • 22.5

    • 30.0

    Correct Answer
    A. 15.0
    Explanation
    B. The correct solution is 15.0 because A = πr2 ; 175 = 3.14r2 ; 55.73=r2; r ≈ 7.5. The diameter is twice the radius, or about 15.0 inches. See Lesson: Circles.

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  • 30. 

    Solve the inequality for the unknown. 2(3x - 1 ) +5 ≥ 3x - 4 - 4x

    • X ≥ -7

    • X ≥ -4

    • X ≥ -1

    • X ≥ 0

    Correct Answer
    A. X ≥ -1
  • 31. 

    A cube has a surface area of 54 square feet. What is the side length in feet?

    • 2

    • 3

    • 4

    • 5

    Correct Answer
    A. 3
    Explanation
    B. The correct solution is 3. Substitute the values into the formula 54 = 6s2. Solve the equation by dividing both sides of the equation by 6 and applying the square root, 9 = s2 ; s = 3 feet. See Lesson: Similarity, Right Triangles, and Trigonometry.
     

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  • 32. 

    Which cannot be equal to the others?

    • Ratio

    • Fraction

    • Percent

    • Proportion

    Correct Answer
    A. Proportion
    Explanation
    D. A number can take the form of an equivalent ratio, fraction, and percent. In contrast, a proportion is an equation rather than a pure number. See Lesson: Ratios, Proportions, and Percentages.

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  • 33. 

    An outdoor game board is 20 feet by 30 feet. One corner of the game board on the coordinate plane is (-10, -20). What could be a second coordinate of the game board?

    • (-20, -10)

    • (-10, 10)

    • (10, -10)

    • (-20, 10)

    Correct Answer
    A. (-10, 10)
    Explanation
    B. The correct solution is (-10, 10) because 30 can be added to the y-coordinate, -20 + 30 = 10. See Lesson: Similarity, Right Triangles, and Trigonometry.

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  • 34. 

    What is 15% of 64?

    • 5:48

    • 15:64

    • 48:5

    • 64:15

    Correct Answer
    A. 48:5
  • 35. 

    A right rectangular prism has dimensions of 3 inches by 6 inches by 9 inches. What is the surface area in square inches?

    • 162

    • 198

    • 232

    • 286

    Correct Answer
    A. 198
    Explanation
    B. The correct solution is 198. Substitute the values into the formula and simplify using the order of operations, SA = 2lw + 2lh + 2hw = 2(3)(6) + 2(6)(9) + 2(9)(3) = 36 + 108 + 54 = 198 square inches. See Lesson: Similarity, Right Triangles, and Trigonometry.

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  • 36. 

    A stop sign is a regular octagon with an area of 27,000 square centimeters and an apothem of 90 centimeters. What is the length in centimeters of one side?

    • 38

    • 75

    • 300

    • 600

    Correct Answer
    A. 75
    Explanation
    B. The correct solution is 75. Substitute the values into the formula, 27,000 = ½(90)p and simplify using the order of operations, 27,000 = 45p. Divide both sides of the equation by 45 to find the perimeter, p = 600 centimeters. Divide the perimeter by 8 to find the length of 75 centimeters for each side. See Lesson: Similarity, Right Triangles, and Trigonometry.

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