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Diploma in Higher Education Studies

Solving equations and rearranging formulae

HES 102 · Mathematics for University Study — Week 10 of 16

CourseHES 102
Week10 of 16
SemesterI
TutorOnline in the course chat

This week’s topics

Solving equations and rearranging formulae

  1. Solving one-step and two-step equations
  2. Changing the subject of a formula

What you will be able to do

  • 2.2 Rearrange formulae and solve simple linear equations.

Activity

Solve a set of equations, then rearrange three everyday formulae.

Study materials

Further resources

  • Prealgebra 2e, 8.1–8.3: Solving linear equations · PDF · OpenStax Prealgebra 2e (2020), 8.1–8.3: one-step and two-step equations, and variables on both sides, pp. 601–636 · for registered students
  • Prealgebra 2e, 9.7: Solve a Formula for a Specific Variable · PDF · OpenStax Prealgebra 2e (2020), 9.7: changing the subject of a formula, pp. 755–765 · for registered students
  • Contemporary Mathematics, 5.2: Linear Equations in One Variable · PDF · OpenStax Contemporary Mathematics (2023), 5.2: solving equations with applications, pp. 346–355 · for registered students
  • Learners' errors in secondary algebra: tracking a cohort from Grade 9 to Grade 11 · Open-access article · Pournara et al. (2016), Pythagoras. The most common errors students make when solving equations. · for registered students
Materials marked “for registered students” open in the student portal, which is set up as soon as you receive final acceptance.
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Course plan
  • Week 1: Fractions, decimals and percentages
  • Week 2: Calculating with percentages
  • Week 3: Percentage increase and decrease
  • Week 4: Percentages in business: profit, mark-up and VAT
  • Week 5: Binary numbers
  • Week 6: Hexadecimal numbers
  • Week 7: Adding binary numbers
  • Midterm: Midterm evaluation
  • Week 9: Using formulae
  • Week 10: Solving equations and rearranging formulae
  • Week 11: Logic gates and truth tables
  • Week 12: Averages and range
  • Week 13: Reading charts and tables
  • Week 14: Solving problems step by step with flowcharts
  • Week 15: Review and coursework completion
  • Final: Final assessment and submission
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