A.1 Diagnostic Test: Skills Evaluation

This diagnostic test is divided into four parts that correspond to the sections of the basic mathematics review that follows. The purpose of the diagnostic test is to help you understand which areas you need to review prior to completing work in this book. (Answers to each of the questions can be found in section A-6.)

Section 1 (Symbols and Notation: Arithmetic Operations)

  1. 8 + 2 + 14 + 4 = _______________
  2. 4 × (−6) = _______________
  3. 22 − (−4) + 3 = ______________
  4. 8 × 6 = _______________
  5. 36 ÷ (−9) = _______________
  6. 13 + (−2) + 8 = _______________
  7. 44 ÷ 11 = _______________
  8. −6 (−3) = _______________
  9. −6 − 8 = _______________
  10. −14/−2 = _______________

Section 2 (Order of Operations)

  1. 3 × (6 + 4) − 30 = _______________
  2. 4 + 6(2 + 1) + 6 = _______________
  3. (3 − 6) × 2 + 5 = _______________
  4. 4 + 6 × 2 = _______________
  5. 16/2 + 6(3 − 1) = _______________
  6. 22 (12 − 8) = _______________
  7. 5 − 3(4 − 1) = _______________
  8. 7 × 2 − (9 − 3) × 2 = _______________
  9. 15 ÷ 5 + (6 + 2)/2 = _______________
  10. 15 − 32 + 5(2) = _______________

Section 3 (Proportions: Fractions, Decimals, and Percentages)

  1. Convert 0.42 into a fraction _______________
  2. Convert into a decimal _______________
  3. Convert ⅘ into a percentage _______________
  4. = _______________
  5. 0.8 × 0.42 = _______________
  6. 40% of 120 = _______________
  7. = _______________
  8. ⅖ × 80 = _______________
  9. ¼ ÷ ⅓ = _______________
  10. = _______________

A-2

Section 4 (Solving Equations with a Single Unknown Variable)

  1. 5X − 13 = 7 _______________
  2. 3(X − 2) = 9 _______________
  3. X/3 + 2 = 10 _______________
  4. X(−3) + 2 = −16 _______________
  5. X(6 − 4) + 3 = 15 _______________
  6. X/4 + 3 = 6 _______________
  7. 3X + (−9)/(−3) = 24 _______________
  8. 9 + X/4 = 12 _______________
  9. 4X − 5 = 19 _______________
  10. 5 + (−2) + 3X = 9 _______________