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# Skills drills: Manipulating equations

# Part 1 – Solving a pair of linear simultaneous equations by elimination (easy)

Part 1 contains easy examples where one variable either has the same coefficient in the two equations, or it has the same coefficient with the opposite sign.

**Teachers**: log in to access the following:

- Worksheet (with space for student work)
- Handout (slides with exercises only; 4 per page for reduced printing)

- Skills drill worksheet 1 – integer solutions only (15 questions on one side of A4; answers included)
- Skills drill worksheet 2 – including non-integer solutions (15 questions on one side of A4; answers included)

**Teachers**: log in to access these.

# Part 2 – Solving a pair of simultaneous equations by elimination (hard)

Part 2 contains harder examples where students need to multiply one or both equations by suitable integers before they can eliminate a variable.

**Teachers**: log in to access the following:

- Worksheet (with space for student work)
- Handout (slides with exercises only; 4 per page for reduced printing)

- Skills drill worksheet 1 – up to one equation requiring scaling (15 questions on one side of A4; answers included)
- Skills drill worksheet 2 – up to two equations requiring scaling (15 questions on one side of A4; answers included)

**Teachers**: log in to access these.