Fractions revision questions
Build confidence with equivalent fractions, addition, subtraction and fractions of a quantity. Use a pencil and paper, then check each step against the worked answers.
Try 5 free questionsGrade 7 Mathematics: Algebra Revision Questions
A letter can stand for a number. Practise turning everyday situations into expressions, collecting like terms and solving simple equations, one step at a time.
5 questions · About 10 minutes · Free, with no registration
Before you start
- Only collect like terms: 2x + 3x = 5x, but 2x + 3 cannot be combined.
- When substituting, replace the letter with its value before calculating.
- Keep an equation balanced by doing the same operation to both sides.
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Choose one answer per question, then check your score. You can retry as often as you like.
Answers and explanations
Open a question to see the answer and the steps behind it.
1. Simplify 3x + 2x.
Answer: 5x. Both terms contain x. Add their coefficients: (3 + 2)x = 5x.
2. Find 2a + 3 when a = 4.
Answer: 11. Substitute a = 4: 2 × 4 + 3 = 8 + 3 = 11. Multiply before adding.
3. Solve x + 7 = 15.
Answer: 8. Subtract 7 from both sides: x = 15 − 7 = 8. Check: 8 + 7 = 15.
4. One exercise book costs b shillings. Which expression gives the cost of four books?
Answer: 4b. Four books cost b + b + b + b = 4b shillings. Multiplication represents four equal costs.
5. Solve 3y = 18.
Answer: 6. Divide both sides by 3: y = 18 ÷ 3 = 6. Check: 3 × 6 = 18.
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