Year 9 - Worksheet 2
Substitute x = 6 and y = 3 then evaluate each expression.
1.
3x
6.
2.
x+y
7.
3.
2x + 3y
8.
4.
x
2 +y
9.
5.
2(x + y)
10.
3x - 2y
x-y
2
18
x-y
x
y
3x
2y
For the following sequences, give the next three numbers.
1.
2, 4, 6, 8,
2.
18, 16, 14, 12,
3.
1, 4, 7, 10,
4.
7, 13, 19, 25,
5.
1, 3, 5, 7, 9,
,
,
,
,
,
,
,
,
,
,
SUDOKU
ISBN: 9781877489143
How many different number sequences can you
identify in the pyramid figure above?
www.mathscentre.co.nz
PUZZLE
How many years old is a person if her age now is equal to her age in 3 years × 3,
less 3 times her age 3 years ago?
MORE SEQUENCES
Draw the next pattern to each of the sequences.
1.
1
2
3
5
3
4
2.
7
9
3.
4
7
10
8
10
12
1
4
9
13
4.
5.
a=2
CROSS NUMBER
b=3
3.
4.
5.
6.
8.
7.
9.
11.
10.
12.
Across
Down
1.
2.
3.
5.
6.
7.
8.
9.
11.
12.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Year 9, Worksheet 2, Page 2 - www.mathscentre.co.nz
6a
5b
3b + a
4b + a
6c + a
11b + a
3c - b
8b - a
2c
4c - a
c=5
3c
9+a
7a
3c - b
3c
12b - 2a
9b + 2a
4b
5c - (b + a)
6c - a
ISBN: 9781877489143
2.
1.
TEN QUICK QUESTIONS
Write the next 3 numbers in the sequences.
,
,
1.
1, 3, 5, 7,
2.
20, 17, 14, 11,
3.
3, 6, 12, 24,
4.
Simplify 4b + 3b
5.
7.
Simplify 3a × 4a
a6
Simplify a2
If a = 3, calculate 2a - 6
8.
Simplify 7a + 2b - 3a - b
9.
If a = 4 and b = 2 calculate 3(3b - a).
10.
Work out
6.
,
,
,
,
(a + b)
given that a = 4, b = 2.
2
ISBN: 9781877489143
ESSENTIAL SKILLS
Substitute the values into each expression.
1.
10a - c
6.
(2a + b)2
a = 2
2.
5ab - 3c
7.
2a2
b = 5
3.
8.
5b - c
c = 3
4.
3(a + b)
3a - b
2c
(b - 2)2
9.
8a2 - 3c2
10.
4(6c - 3b)2
5.
Year 9, Homework Sheet 2, Page 3 - www.mathscentre.co.nz
WHAT IS THE UNIVERSE MADE OF?
Simplify the following expressions. Use your answers to complete the question.
5x3 × 2x2 × 2
2.
(2x2)3
3.
9x12
C
4.
3x2 × 8x5
5.
(3x)2
R
6.
x6 ÷ x3
7.
64x2
I
8.
2x2 × 2x4 × x
9.
(2x + 2x)2
10.
20x5
4x3
P
11.
5x7
x3
S
12.
16x16
M
4x8
24x7
E
N
4x7
20x5
5x4
5x2
24x7
20x5
4x7
16x2
3x6
20x5
9x2
G
A
Y
T
9x2
8x6
x3
20x5
4x7
Year 9, Worksheet 2, Page 4 - www.mathscentre.co.nz
8x
4x8
20x5
ISBN: 9781877489143
1.