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Algebra Expressions Practice Test
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Algebra Expressions Practice Test
Show your working for expansion and factorising questions. Simplify expressions fully and factorise using the highest common factor (HCF) where possible.
Part A: Expand and simplify
Use the distributive property to remove brackets.
1.Expand: 3(x + 7).
2.Expand: −2(4y − 5). Pay attention to the negative sign.
3.Expand and simplify: 4(x + 2) + 3(x − 1).
4.A café packs x muffins in each tray. It has 5 trays and 8 extra muffins. Which expression gives the total number of muffins?
- 5(x + 8)
- 5x + 8
- 13x
- 8x + 5
Part B: HCF and factorising
Find the greatest common factor of every term, then write the expression as a product.
5.Find the HCF of 15a²b and 25ab². Include the common numerical factor and variables.
6.Factorise completely: 6x + 9.
7.Factorise completely: 4y² − 8y.
8.Factorise completely: 12x²y + 18xy² − 6xy.
9.True or false? The HCF of 8xy, 12x²y and 20xy² is 4xy. Correct the statement if it is false.
TrueFalse
10.Challenge: Expand and simplify 2(x + 4) − 3(x − 1), then factorise your simplified answer if possible.
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