Fully factorise \(24p^2qr^3+18p^3q^2+6p^2qr^2\). (2 marks)
Algebraic Techniques, SM-Bank 155
Fully factorise \(2mn^2+6m^2n-8mn\). (2 marks)
Algebraic Techniques, SM-Bank 154
A rectangle has an area of \(2pq^2+4p^2q\). By factorising the expression, find the length of the rectangle if the width is \(2pq\). (2 marks)
Algebraic Techniques, SM-Bank 153
A rectangle has an area of \(9a^2-6a\). By factorising the expression, find the width of the rectangle if the length is \(3a\). (2 marks)
Algebraic Techniques, SM-Bank 152
A rectangle has an area of \(9a^2-6a\). By factorising the expression, find the width of the rectangle if the length is \(3a\). (2 marks)
Algebraic Techniques, SM-Bank 151
Fully factorise the following:
- \(4x^2-2x\) (2 marks)
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- \(-6ab+3a\) (2 marks)
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- \(-5q-10q^2\) (2 marks)
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Algebraic Techniques, SM-Bank 150 MC
Which of the following is the correct factorisation of \(7y+14x\).
- \(7(y+2x)\)
- \(y(7+14x)\)
- \(7(y+14x)\)
- \(7(y+7x)\)
Algebraic Techniques, SM-Bank 149 MC
Which of the following is the correct factorisation of \(15m-20\).
- \(15(m-20)\)
- \(5(m-4)\)
- \(5(3m-4)\)
- \(5(3m-20)\)
Algebraic Techniques, SM-Bank 148 MC
Which of the following is the correct factorisation of \(3x-12\).
- \(3(x-12)\)
- \(x(3-12x)\)
- \(3(x-9)\)
- \(3(x-4)\)
Algebraic Techniques, SM-Bank 147
State the highest common factor of \(36mn^2\ \text{and}\ 24m^2n\). (1 mark)
Algebraic Techniques, SM-Bank 146
State the highest common factor of \(27ab^2c\ \text{and}\ 3a^2b^2c\). (1 mark)
Algebraic Techniques, SM-Bank 145
State the highest common factor of \(15xy\ \text{and}\ 20y\). (1 mark)
Algebraic Techniques, SM-Bank 144
List all the factors of \(-6z\). (2 marks)
Algebraic Techniques, SM-Bank 143
List all the factors of \(-7q\). (2 marks)
Algebraic Techniques, SM-Bank 142
List all the factors of \(-12y\). (2 marks)
Algebraic Techniques, SM-Bank 141
List all the factors of \(10m\). (2 marks)
Algebraic Techniques, SM-Bank 140
List all the factors of \(2x\). (2 marks)
Algebraic Techniques, SM-Bank 139
List all the factors of \(4b\). (2 marks)
Algebraic Techniques, SM-Bank 138
Algebraic Techniques, SM-Bank 137
Algebraic Techniques, SM-Bank 136 MC
The expansion of \(-2q(q-8)\) is:
- \(-2q+16\)
- \(-2q^2+16q\)
- \(-2q^2-16q\)
- \(2q^2+16q\)
Algebraic Techniques, SM-Bank 135 MC
The expansion of \(4x(5-y)\) is:
- \(9x-4xy\)
- \(4x-5xy\)
- \(20-4xy\)
- \(20x-4xy\)
Algebraic Techniques, SM-Bank 134
Jimmy works \(\large x\) hours every week and his hourly rate of pay is \((40+\large y)\).
Write an algebraic expression and expand it to represent Jimmy's weekly wage. (2 marks)
Algebraic Techniques, SM-Bank 133
Algebraic Techniques, SM-Bank 132
Algebraic Techniques, SM-Bank 131
A number \(\large y\) is halved and 3 is added. The result is then multiplied by 4.
Write an algebraic expression and expand it to represent this information. (2 marks)
Algebraic Techniques, SM-Bank 130
A number \(\large x\) is doubled and 1 is added. The result is then multiplied by 5.
Write an algebraic expression and expand it to represent this information. (2 marks)
Algebraic Techniques, SM-Bank 129
A number \(b\) is tripled and \(5\) is subtracted. The result is then doubled.
Write an algebraic expression and expand it to represent this information. (2 marks)
Algebraic Techniques, SM-Bank 128
A number \(x\) is added to \(4\) and the result is doubled.
Write an algebraic expression and expand it to represent this information. (2 marks)
Algebraic Techniques, SM-Bank 127
Expand and simplify the expression \(2(5-4x)+3(6x-1)\). (2 marks)
Algebraic Techniques, SM-Bank 126
Expand and simplify the expression \(3(x-1)+4(2x+3)\). (2 marks)
Algebraic Techniques, SM-Bank 125
Expand and simplify the expression \(3xy-2x(y-5)\). (2 marks)
Algebraic Techniques, SM-Bank 124
Expand and simplify the expression \(2(m+2)+7m\). (2 marks)
Algebraic Techniques, SM-Bank 123
Use the distributive law to expand the expression \(9x(x-2y)\). (2 marks)
Algebraic Techniques, SM-Bank 122
Use the distributive law to expand the expression \(b(3-b)\). (2 marks)
Algebraic Techniques, SM-Bank 121
Use the distributive law to expand the expression \(x(x+2)\). (2 marks)
Algebraic Techniques, SM-Bank 120
Use the distributive law to expand the expression \(-(a-8)\). (2 marks)
Algebraic Techniques, SM-Bank 119
Use the distributive law to expand the expression \(-10(y+4)\). (2 marks)
Algebraic Techniques, SM-Bank 118
Use the distributive law to expand the expression \(4(m-3)\). (2 marks)
Algebraic Techniques, SM-Bank 117
Use the distributive law to expand the expression \(3(x+1)\). (2 marks)