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Simplifying Algebraic Expressions
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Simplifying Algebraic Expressions
Help a community market team simplify the algebra in its signs and plans. Combine like terms, use the distributive property, and show your working where asked.
Spot and sort
Start by identifying which parts of an expression can be combined.
1.The market sign uses the expression 6t + 2t − 5t to count trays. Choose its simplified form.
- 3t
- 13t
- 3
- −3t
2.In 9p − 6 + 4p, identify the constant term.
Expression
Variable term
Constant
7x − 3
3.On the expression sorting board, the expression is 7x − 3. Which part is the variable term, and which part is the constant?
4.Tick the complete group of like terms: 4a, −2a, 5, 8a, −1.
- 4a, −2a and 8a
- 4a, 5 and 8a
- −2a, 5 and −1
- All five terms
Simplify, expand and check
Combine only like terms. Remember that a number multiplying brackets multiplies every term inside.
5.A stall packs fruit into boxes. Simplify the expression 5b + 3 − 2b + 8 for the number of items packed.
6.Expand and simplify the price expression 4(c + 3) − 2c.
7.True or false? The expression 3x + 2x + 4 simplifies to 9x.
TrueFalse
8.Evaluate 3n + 5 when n = 4. Write the substitution and the answer.
9.A market helper says 2(3y − 4) + y simplifies to 7y − 4. Check the claim by expanding and simplifying. Is the helper correct?
10.Fill in the missing number so the expressions are equivalent: 5(x + 2) = 5x + .
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