Year 5 in England

4th grade algebra

3 4th grade algebra skills, each with a worked example, free practice that checks every answer, and a printable worksheet. Start with a mixed review, or jump to the skill you need.

Mixed review

Ten questions drawn from every skill below.

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Function machines and input–output tables

CCSS 4.OA.C.5England: Y6 Algebra

Example

A function machine does: × 4, then + 13. What comes out when 6 goes in?

6 × 4 = 24
24 + 13 = 37

Answer: 37

Builds on: Number patterns, Times tables to 12 × 12

Leads to: Write algebraic expressions, Two-step function machines: forwards and backwards

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Generate a pattern from a rule and predict later terms

CCSS 4.OA.C.5England: Y5 Number and place value

Example

A pattern starts at 18 and the rule is "add 9". What is the 7th number in the pattern?

18 + 6 × 9 = 72

Answer: 72

Builds on: Find the rule of a number pattern

Leads to: Compare two number patterns and their rules, Describe linear sequences with a rule for the nth term

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Solve equations with a letter for the unknown

CCSS 4.OA.A.2CCSS 4.OA.A.3England: Y6 Algebra

Example

Find n: n ÷ 7 = 3

21 ÷ 7 = 3
n = 21

Answer: 21

Builds on: Find the unknown in multiplication and division equations, Add and subtract multi-digit numbers

Leads to: Use simple formulas written in words and letters, Puzzles with two unknowns

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