Download Year 10 Sheet 9

ISBN: 9781877489150
Year 10 - Worksheet 9
ALGEBRA SKILLS
Expand and simplify:
ALGEBRA SKILLS (2)
Factorise the following:
1.
5(x + y)
1.
3x + 3y
2.
x(x + 5)
2.
8x + 20y
3.
x(5 - y)
3.
4x + 10y - 6r
4.
8 + 2(3 - 2x)
4.
ax + ay
5.
6 - 4(3x - 2)
5.
10xyz + 22xyr
6.
5(x - 2) + 3(x - 5)
6.
2x - 2y
7.
4(x + 1) + 2(x + 3)
7.
5x - 15y
8.
3(x - 1) - 2(x + 1)
8.
2x + 6y + 8z
9.
5(x + 3) - 3(x - 1)
9.
bx - by
10. 4x + 3(2 - x)
10. 17xy - 14xyz
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1.
A number is doubled, then 3 is subtracted from it to give an answer of 7.
What was the original number?
2.
A number is divided by 3 then has 4 subtracted from it to give an answer of 8.
What was the original number?
3.
4 less than 5 times a number is 11. What is the number?
4.
5 is added to a number then multiplied by 7 to give an answer of 56.
What was the original number?
5.
Four consecutive numbers add up to 74. What are the numbers?
6.
The length of a rectangle is 3 metres more than the width. If the perimeter is 22
metres, find the length and the width.
Year 10, Worksheet 9, Page 2 - www.mathscentre.co.nz
ISBN: 9781877489150
EQUATION SOLVING
Write an equation for each problem then solve it.
EQUATION SOLVING (continued)
Write an equation for each problem then solve it.
7.
A laptop computer costing $1430 is paid by providing a deposit of $470 and the
rest is paid over 12 equal monthly installments.
8.
In a fundraising event participants are given money for each kilometre walked.
Jane, Peter and Fred all walk in the event and their total distance walked is
48km. Jane walks 5km more than Peter and Fred walks 5km more than Jane.
How much does each person walk?
9.
Peter is three times as old as Michael and the difference of their ages is 48. What
are their ages?
10.
Pictured below are two shapes. One is a regular hexagon of side length x + 1
metres and the other a triangle of irregular lengths. Find the value of x if both
perimeters are the same.
x+4
x+3
x+1
x+5
ISBN: 9781877489150
SUDOKU
Year 10, Homework Sheet 9, Page 3 - www.mathscentre.co.nz
ALGEBRA SKILLS
Factorise the following
1.
2x + 6
6.
x2 - 5x + 6
2.
10x - 15
7.
x2 - x - 12
3.
x2 - 4x
8.
x2 - 8x + 7
4.
2x2 - 8x
9. x2 - 8x + 12
5.
x2 + 5x + 6
10.
x2 - 2x - 15
1.
Find the value of T when a = 4, b = 8
and T = 2(a + b).
2.
Simplify 6a - 5b - 3a + 3b
3.
Simplify 3a × 4b × 5c
4.
Simplify 5x - 3x2 - 2x
5.
Write a rule for the pattern 2, 4, 6, 8, . . . .
6.
Write a rule for the pattern 3, 5, 7, 9, . . . .
7.
Simplify x7 × x2 × x-1
8.
Simplify 5x2 × 6x3
9.
10.
x12
Simplify x3
2x12
Simplify 3
x
Year 10, Homework Sheet 9, Page 4 - www.mathscentre.co.nz
ISBN: 9781877489150
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