Download Year 10 Sheet 8

Year 10 - Worksheet 8
EQUATION SOLVING (1)
EQUATION SOLVING (2)
1.
2x + 3 = 7
1.
2(x + 1) = 12
2.
2x - 3 = 11
2.
3(x - 2) = 9
3.
5x - 2 = -12
3.
4(x - 3) = -12
4.
-3x - 2 = 7
4.
2(3 - x) = 6
5.
5 - 2x = 9
5.
2(x - 1) - x = 5
6.
x
-1=2
3
6.
(x + 2) + (x + 3) = 15
7.
x
2 +3=9
7.
(x - 1) + (x - 5) = 18
8.
x
- 1 = -3
5
8.
2(x - 2) + 3(x - 1) = 3
9.
4-
x
=2
3
9.
5(x - 1) + 2(x + 1) = 18
x
= -4
5
10. 3(x - 1) = x + 17
ISBN: 9781877489150
10. 3 -
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PUZZLE
Draw four straight lines without taking your pen off the
paper. Your finished shape should go through all 9 dots.
FIVE QUICK QUESTIONS
1
1.
Find the value of A when A = 2 bh and b = 4, h = 8
2.
Simplify 3a - 2b - a - 5b
3.
Simplify 2a × 3b × -4c
4.
Simplify 3x2 - 2x + 4x2
5.
Write a rule for the following pattern 2, 4, 6, 8 . . . .
MAGIC SQUARE
The magic square below uses the numbers 1 to 16.
All the rows, columns and main diagonals add up to 34.
Complete the missing numbers.
INVESTIGATION
A man has a bundle of $10 notes in his pocket.
The notes are numbered consecutively from 442426 to 442450.
Year 10, Worksheet 8, Page 2 - www.mathscentre.co.nz
ISBN: 9781877489150
What is the total value?
SEQUENCES AND PATTERNS
Establish a rule for the following patterns.
e.g. 4, 7, 10 If n is the number of the term then n = 1 is the first term.
The rule is: nth term = 3n + 1.
1.
2, 4, 6, 8
2.
3, 5, 7, 9
3.
1, 4, 16, 25
4.
2, 5, 17, 26
Each of the following shapes can be made from sticks. Give the rule for the pattern
number and the number of sticks needed to form that shape.
The first one is done for you.
5.
number of sticks for the nth pattern = 2n + 1
6.
7.
8.
ISBN: 9781877489150
9.
For the sequence below, give the rule for the number of diagonals.
10. For the sequence below, give the rule for the number of white squares across the
length.
Year 10, Homework Sheet 8, Page 3 - www.mathscentre.co.nz
ALGEBRA SKILLS
Simplify the following algebraic expressions.
1.
3c × 5f
6.
4x × 2x
2.
3x × -2f =
7.
(5x)2
3.
-2x × 3y × 4r
8.
(3x2y3)2
16x2y4
10xy2
4.
y + 7y × -4y
9.
5.
5x - 4y + 2x - 6y
10.
64y10
FIVE QUICK QUESTIONS
1.
Write a rule for the
following pattern: 3, 5, 7, 9 . . . .
2.
Simplify x4 × x2 × x3
3.
Simplify 6x4 × 3x2
4.
Simplify
5.
8x11
Simplify x4
x8
x4
If 1 m3 of earth weighs 1600 kg, then how much earth would there be in a hole
50 cm × 50 cm × 50 cm?
Year 10, Homework Sheet 8, Page 4 - www.mathscentre.co.nz
ISBN: 9781877489150
PUZZLE