TEAS Workbook Math Exam 2

A. By inspection, 5 ÷ 5 = 1, so it has no remainder. Using the division algorithm on the other expressions produces a remainder. See Lesson: Basic Multiplication and Division.

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

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

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.

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.

See Lesson: Multiplication and Division of Fractions.

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.

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.

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.

See Lesson: Polynomials.

See Lesson: Circles.

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.

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.

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.

 

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.

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.

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.

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.