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 at the end of the review on page 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 6/10 into a decimal _______________

  3. Convert 4/5 into a percentage _______________

  4. 6/13 + 4/13 = _______________

  5. 0.8 × 0.42 = _______________

  6. 40% of 120 = _______________

  7. 2/7 + 2/5 = _______________

  8. 2/5 × 80 = _______________

  9. 1/4 ÷ 1/3 = _______________

  10. 4/7 × 5/9 = _______________

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 _______________

A-2