Auchmuty High School
Mathematics Faculty
National 5
Expanding Brackets Homework
1
Multiply out the brackets and simplify.
Marks
3(x + 7) + 2x
2
Multiply out the brackets and simplify in each question.
(a)
3
4
2
9(a + 5) + 7(2a + 7)
(b)
(3, 3)
7(y  8) – 5(3y – 6)
Multiply out the brackets and simplify in each question.
(a)
(y  9)(y  3)
(b) (2a + 5)(a + 9)
(c)
(3w  8)(2w + 1)
(d)
(2, 2)
(4x  3)2
(2, 2)
Multiply out the brackets and collect like terms in each question.
(x + 1)(x 2 + 1)
5
2
Expand the brackets and simplify in each question.
(x – 2)(2x² – 3x – 2)
3
Total
21
Mathematical Literacy
Expand: To write (a quantity) as a sum of terms in an extended form.
Simplify: To condense an algebraic expression by grouping and combining similar terms.
Like terms: "Like terms" are terms whose variables (and their exponents such as the 2 in x2) are the
same. In other words, terms that are "like" each other.