8.1 Algebraic notation and vocabulary — Practise with help
Attempt each question before opening a hint. Reveal the full working to check your method.
Warm-up: remember
Answer from memory before checking.
- Work out .
- Work out .
Answers and feedback
- . 2. . If an answer differs, review the earlier method before continuing.
Practise with help
1. Write as repeated addition, then state its coefficient.
Hint
Identify the letter, coefficient and constant in the written expression.
Next step
Write three times as a sum, then name the number multiplying .
Full working
Seven groups of ; coefficient .
2. Write an expression for five more than .
Hint
Identify the letter, coefficient and constant in the written expression.
Next step
Which operation combines and ?
Full working
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3. Evaluate when .
Hint
Identify the letter, coefficient and constant in the written expression.
Next step
Replace with , then multiply before adding.
Full working
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4. State the terms and coefficients in .
Hint
Identify the letter, coefficient and constant in the written expression.
Next step
List each part separated by a plus sign and identify the number multiplying each letter.
Full working
Terms and ; each coefficient is .
5. If each item costs £5, write and evaluate the total cost for .
Hint
Identify the letter, coefficient and constant in the written expression.
Next step
Replace with in , then attach the currency unit.
Full working
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6. Evaluate when .
Hint
Identify the letter, coefficient and constant in the written expression.
Next step
Replace with and follow the order of operations.
Full working
The expression becomes .
7. Write an expression for three fewer than .
Hint
Identify the letter, coefficient and constant in the written expression.
Next step
Subtract from .
Full working
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8. Is an expression or equation?
Hint
Identify the letter, coefficient and constant in the written expression.
Next step
An equation contains an equals sign. Does this statement have one?
Full working
It is an equation because it states equality.