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Algebraic Expressions Introduction
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Algebraic Expressions Introduction
Show working where needed. Use correct algebraic notation.
Identifying Terms and Components
1.For the expression 6p − 4q + 9, state the variables, coefficients, constant term, and number of terms.
2.List the like terms in 7r + 2s − 3r + 5 − s + 4r.
3.Select every pair of like terms.
- 9a and −2a
- 3b and 3c
- −6 and 11
- 4mn and 8mn
- 5x and 5x²
- 2uv and 2vu
4.Match each expression to its simplified form.
- 4t + 7t
- 8k − 3k + 2
- 6w + 4 − 2w − 9
- 3a + 2b − a + 5b
- 9m − 5n + 2m − n
- 11m − 6n
- 2a + 7b
- 4w − 5
- 11t
- 5k + 2
Simplifying Expressions
5.Simplify: 9x + 4x.
6.Simplify: 7y − 3y + 6.
7.Simplify: 5a + 3b − 2a + 4b.
8.Simplify: 10m − 4n + 3m − 7.
9.Show your working to simplify 8z + 5 − 3z + 2 − z.
10.A rectangle has a length of (4x + 3) cm and a width of (x − 2) cm. Write a simplified expression for its perimeter.
The Distributive Property
11.Expand: 4(x + 6).
12.Expand: 3(2y − 5).
13.Expand: −3(2a + 4).
14.Expand and simplify: 5(x + 3) + 2(x − 4).
15.Anahera buys x notebooks for $4 each and (x + 2) rulers for $3 each. Write and simplify an expression for the total cost in dollars.
16.In your own words, describe what makes two algebraic terms like terms.
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