Level 4 · Mathematics M4.8
Linear and simultaneous equations
Solve linear equations and inequalities, and find two unknowns at once.
Planned. This book is not written yet. Below is its plan, which a teacher can already use.
You are ready for this book if
You can solve 5x − 2 = 3x + 6.
- One step up M5.1 Functions, polynomials and the binomial
- This book M4.8 Linear and simultaneous equations
- One step down M3.9 Coordinates and straight lines
The plan
- M4.8.1 Harder linear equations
- Solve equations with brackets on both sides
- Solve equations with fractions, like (x + 2)/3 = 5
- M4.8.2 Changing the subject
- Rearrange v = u + at to make t the subject
- Rearrange a formula where the subject appears twice
- M4.8.3 Inequalities
- Solve 3x − 4 < 11 and show it on a number line
- Solve an inequality where you must flip the sign
- List the whole numbers that fit −2 < x ≤ 3
- M4.8.4 Equations of straight lines
- Find the equation of a line through two points
- Spot parallel and perpendicular lines from their gradients
- M4.8.5 Two equations: adding or taking away
- Solve two equations by getting rid of one letter
- Multiply an equation first so the numbers match
- M4.8.6 Two equations: substitution
- Solve two equations by putting one into the other
- Check an answer in both equations
- M4.8.7 Two equations on a graph
- Solve two equations by finding where their lines cross
- Explain why parallel lines give no answer
- M4.8.8 Word problems and regions
- Write two equations from a word problem and solve them
- Shade the region on a graph that fits two inequalities
For parents and teachers
Level 4 fits learners who can already: follow a written argument. use letters for numbers. In many schools that is about 14 to 16, but start wherever the learner is.
Strand: Algebra. Written and drawn by attnom. Free to read, print and share.