Download Year 8 | Unit 3

Learner Resource
School Name
Park Ridge State High School
Subject
Maths
Description
Sample pre-assessment Unit 3
In this unit students have opportunities to develop understandings of:
• Number and place value - express numbers in index notation,
establish the index laws with whole number bases and positive
integral indices
• Patterns and algebra - expand and factorise algebraic expressions.
Instructions
Task designed by
South East Region
Adrian Day
Topic
Contact
Number and Algebra
Year
8
Janelle Dickman 0467777965
Learner Resource template
V1 – Aug 2013
Learner Resource
Student Name
Class
Date
1. Complete the table below:Index Notation
Expanded notation
63
a5
3×3×3×3
gh × gh × gh × gh
j3m3
10 × 10 ×10 × 10
xy3
2. Circle (Red) the following examples of the Commutative Law and underline (blue) the
examples of the Associative Law
3+8=8+3
(16 ÷ 2)÷ 2 = 16 ÷ (2÷2)
(4 + 7) +12 = 4 + (7 + 12)
6×5=5×6
81 ÷ -7 = -7 ÷ 81
8–3=3–8
2g + (3g + 6g) = (2g + 3g) + 6g
33 – (7 + 8) = (33 – 7) + 8
7 + –4 = - 4 + 7
7 × (6 × 15) = (7 × 6) × 15
(15 - 8) + 4 = 15 + (-8 +4)
22 – (15 – 8) = 22 – (15 – 8)
33 – (7 + 8) = (33 – 7) + 8
d+e=e+d
12 x -4 = -4 x 12
3x – 2 = 2 + 3x
3. Write in expanded form
a. 34 × 33
b. n4 × n5
c. 54 ÷ 52
d. t5 ÷ t3
South East Region
Learner Resource template
V1 – Aug 2013
Learner Resource
4. Simplify
a. 34 × 36 =
b. b5 × b7 =
5. Write in expanded form as a fraction then simplify.
a. 56 ÷ 52
b. 74 ÷ 76
c. f4 ÷ f3
d. p5 ÷ p6
e. r5 ÷ r5
6. Rewrite using indices
a. a × a × a × a × b × b × b × b
b. 6 × 6 × 6 × 6 × 6 × 8 × 8 × 8 × 8
c. u × u × 5 × u × 5 × 5 × u
7. Solve the following
3×3=
2 × 5 × -4 =
6 × -3 =
3 × -3 × -3 =
-8
-9
×6=
× -5 =
8. Expand
a.
−24
b. 5g3
c. –(45)
d. (3q)4
e. (e4)4
f. (3h4)3
South East Region
Learner Resource template
V1 – Aug 2013
Learner Resource
9. Which of the following contain like terms?
a.
3, 4, 15, -18
b
3, a, b, 4
c.
7, 3f, 4f
d.
k, 3k, 5k, 3k2
e.
a, b, ab, 2a, 5ab
10. Simplify the following
a. 3y + 5y – y + 6y
b. a +3b + 2a + 4a – 2a
c. u +3 + 3w + 9 -2u + 2u2
d. 5v + 5k
e. hm + 2hm2 + 6hm + 5hm2 + 7h2m
11. Expand the following.
a. 5(6 + 7)
b. 3(f + 9)
c. 5(2r + 8)
d. 4(g2 -7)
e. 6(5r – 8 + 7a)
12. Factorise the following.
a. 5a + 15
b. 7 + 7y
c. 12 – 15h
d. 20g + 60
South East Region
Learner Resource template
V1 – Aug 2013