For the difference \(\dfrac{m}{2}-\dfrac{m}{7}\), simplify and write an equivalent algebraic fraction. (2 marks)
Algebraic Techniques, SM-Bank 096
For the difference \(\dfrac{a}{4}-\dfrac{a}{5}\), simplify and write an equivalent algebraic fraction. (2 marks)
Algebraic Techniques, SM-Bank 095
For the difference \(\dfrac{2x}{3}-\dfrac{x}{4}\), simplify and write an equivalent algebraic fraction. (2 marks)
Algebraic Techniques, SM-Bank 094
For the sum \(\dfrac{a}{2}+\dfrac{a}{3}+\dfrac{a}{4}\), simplify and write an equivalent algebraic fraction. (3 marks)
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Algebraic Techniques, SM-Bank 093
For the sum \(\dfrac{b}{3}+\dfrac{5b}{6}\), simplify and write an equivalent algebraic fraction. (2 marks)
Algebraic Techniques, SM-Bank 092
For the sum \(\dfrac{2x}{3}+\dfrac{x}{5}\), simplify and write an equivalent algebraic fraction. (2 marks)
Algebraic Techniques, SM-Bank 091
For the sum \(\dfrac{a}{4}+\dfrac{a}{2}\), simplify and write an equivalent algebraic fraction. (2 marks)
Algebraic Techniques, SM-Bank 090
For the sum \(\dfrac{m}{3}+\dfrac{m}{2}\), simplify and write an equivalent algebraic fraction. (2 marks)
Algebraic Techniques, SM-Bank 089 MC
\(\dfrac{2}{m}\) is equivalent to:
- \(\dfrac{4}{8m}\)
- \(\dfrac{3m}{12}\)
- \(\dfrac{6m}{3m^2}\)
- \(\dfrac{1}{m}+\dfrac{1}{m}\)
Algebraic Techniques, SM-Bank 088 MC
\(\dfrac{a}{4}\) is equivalent to:
- \(\dfrac{4a}{a}\)
- \(\dfrac{3a}{12}\)
- \(\dfrac{a^2}{4a^3}\)
- \(\dfrac{a^4}{a^3}\)
Algebraic Techniques, SM-Bank 087 MC
\(\dfrac{x}{3}\) is equivalent to:
- \(\dfrac{2x}{6}\)
- \(x+\dfrac{1}{3}\)
- \(\dfrac{12x}{4}\)
- \(\dfrac{x^3}{x^2}\)
Algebraic Techniques, SM-Bank 086
Simplify the following algebraic expression, giving your answer in simplest form. (2 marks)
\(\dfrac{5xy\times 3xy}{10\times xy}\)
Algebraic Techniques, SM-Bank 085
Simplify the following algebraic expression, giving your answer in simplest form. (2 marks)
\(\dfrac{3\times ab\times 4a}{a\times 2b}\)
Algebraic Techniques, SM-Bank 084
Simplify the following algebraic expression, giving your answer in simplest form. (2 marks)
\(\dfrac{4m\times 3mn\times 5n}{30m\times 2mn}\)
Algebraic Techniques, SM-Bank 083
A rectangular prism is known to have a length of \(5\) cm, a width of \(3\) cm and a height of \(x+2\) cm. Write an expression for the volume of the prism, giving your answer in simplest form. (3 marks)
Algebraic Techniques, SM-Bank 082
Write a simplified expression for the volume of the rectangular prism below. (3 marks)
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Algebraic Techniques, SM-Bank 081
Algebraic Techniques, SM-Bank 080
Algebraic Techniques, SM-Bank 079
Algebraic Techniques, SM-Bank 078
Algebraic Techniques, SM-Bank 077
Algebraic Techniques, SM-Bank 076
The side length of a regular hexagon is \(2x+5\). Write an expression for the perimeter of the hexagon. (2 marks)
Algebraic Techniques, SM-Bank 075
The side length of a square is \(x-3\). Write an expression for the perimeter of the square. (2 marks)
Algebraic Techniques, SM-Bank 074
The side length of an equilateral triangle is \(x+2\). Write an expression for the perimeter of the triangle. (2 marks)
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Algebraic Techniques, SM-Bank 073
The perimeter of a regular hexagon is equal to \(4x+3y\). Write an expression for the side length of the hexagon. (2 marks)
Algebraic Techniques, SM-Bank 072
The perimeter of a square is equal to \(5q-3\). Write an expression for the side length of the square. (2 marks)
Algebraic Techniques, SM-Bank 071
The perimeter of an equilateral triangle is equal to \(4m+5\). Write an expression for the side length of the triangle. (2 marks)
Algebraic Techniques, SM-Bank 070 MC
Which of the following expressions is equivalent to \((m\times 4)÷(3\times n)\)?
- \(\dfrac{3m}{4n}\)
- \(\dfrac{3n}{4m}\)
- \(\dfrac{3mn}{4}\)
- \(\dfrac{4m}{3n}\)
Algebraic Techniques, SM-Bank 069 MC
Which of the following expressions is equivalent to \(m÷(3\times n)\)?
- \(\dfrac{m}{3n}\)
- \(\dfrac{3}{mn}\)
- \(\dfrac{3m}{n}\)
- \(\dfrac{mn}{3}\)
Algebraic Techniques, SM-Bank 068 MC
Which of the following expressions is equivalent to \(x÷2\times y\)?
- \(\dfrac{2x}{y}\)
- \(\dfrac{xy}{2}\)
- \(\dfrac{2y}{x}\)
- \(\dfrac{x}{2y}\)
Algebraic Techniques, SM-Bank 067 MC
Which of the following expressions is equivalent to \(a÷b\times c\)?
- \(\dfrac{ac}{b}\)
- \(\dfrac{a}{bc}\)
- \(\dfrac{ab}{c}\)
- \(\dfrac{bc}{a}\)
Algebraic Techniques, SM-Bank 066 MC
Which of the following expressions is equivalent to \(a÷(b\times c)\)?
- \(\dfrac{ac}{b}\)
- \(\dfrac{a}{bc}\)
- \(\dfrac{ab}{c}\)
- \(\dfrac{bc}{a}\)
Algebraic Techniques, SM-Bank 065
Simplify the following algebraic expressions, giving your answer in simplest form.
- \(\dfrac{9mn}{3}\) (1 mark)
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- \(\dfrac{4y}{12x}\) (1 mark)
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- \(\dfrac{16a^2}{-4ab}\) (2 marks)
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- \(\dfrac{-18b^2}{-24b}\) (2 marks)
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Algebraic Techniques, SM-Bank 064 MC
Which of the following algebraic expressions is equivalent to \(\dfrac{20xy}{5yz}\)?
- \(5xy^2z\)
- \(4xy^2z\)
- \(\dfrac{4}{z}\)
- \(\dfrac{4x}{z}\)
Algebraic Techniques, SM-Bank 063 MC
Which of the following algebraic expressions is equivalent to \(x\times x\times y\times x\times y\)?
- \(6xy\)
- \(x^2y^3\)
- \(x^3y^2\)
- \(3x+2y\)
Algebraic Techniques, SM-Bank 062 MC
Which of the following algebraic expressions is equivalent to \(3a\times 2b\times ab\times 2\)?
- \(7ab\)
- \(12ab\)
- \(6a^2b^2\)
- \(12a^2b^2\)
Algebraic Techniques, SM-Bank 061 MC
Which of the following algebraic expressions is equivalent to \(4\times x\times y\times 2\)?
- \(42xy\)
- \(8xy\)
- \(4xy^2\)
- \(16xy\)
Algebraic Techniques, SM-Bank 060
Simplify the following algebraic expressions, giving your answer in simplest form.
- \(-3mn\times 2m\) (1 mark)
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- \(4a^2b\times (-3b)\) (1 mark)
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- \(-8cd\times (-2d)\) (1 mark)
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- \(4a^2b\times 3abc\) (2 marks)
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Algebraic Techniques, SM-Bank 059
Simplify the following algebraic expressions, giving your answer in simplest form.
- \(4pq\times 6r\) (1 mark)
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- \(3m\times m\) (1 mark)
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- \(7x\times 3x\) (1 mark)
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- \(2ab\times 3bc\times c\) (1 mark)
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Algebraic Techniques, SM-Bank 058
Simplify the following algebraic expressions, giving your answer in simplest form.
- \(5\times 4y\) (1 mark)
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- \(4m\times 3\) (1 mark)
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- \(2a\times 3b\times 4\) (1 mark)
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- \(4c\times 2b\times 5d\) (1 mark)
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Algebraic Techniques, SM-Bank 057
State the coefficients of \(\large x\) and \(\large y\) that make the expressions below equivalent? (2 marks)
\(9x+3y-\) |
|
\(x+\) |
|
\(y=6x+8y\) |
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Algebraic Techniques, SM-Bank 056
Algebraic Techniques, SM-Bank 055
Algebraic Techniques, SM-Bank 054
Algebraic Techniques, SM-Bank 053 MC
Which of the following expressions is equivalent to \(16ab\)?
- \(16+a+b\)
- \(4a+3b+7a+2b\)
- \(5ab-20ab+ab\)
- \(2ab-3ab+4ab+13ab\)
Algebraic Techniques, SM-Bank 052 MC
Which of the following expressions is equivalent to \(15m-4n\)?
- \(11mn\)
- \(8m-5n+7m+n\)
- \(5m-6n+10m-2n\)
- \(9m-2n-6m-2n\)
Algebraic Techniques, SM-Bank 051 MC
Which of the following expressions is equivalent to \(4a-3b\)?
- \(7ab\)
- \(2a-3b-6a\)
- \(b+5a-4b-a\)
- \((2a)^2-3b\)
Algebraic Techniques, SM-Bank 050
Simplify the expression \(2m-6m+4m-3m\). (1 mark)
Algebraic Techniques, SM-Bank 049
Simplify the expression \(5x-3y-4x-2y\) by collecting like terms. (2 marks)
Algebraic Techniques, SM-Bank 048
Simplify the expression \(2mn+3m+5mn-n\) by collecting like terms. (2 marks)
Algebraic Techniques, SM-Bank 047
Simplify the expression \(4a+3b-5a+6b\) by collecting like terms. (2 marks)
Algebraic Techniques, SM-Bank 046
Simplify the expression \(3x+2x+3y+y\) by collecting like terms. (2 marks)
Algebraic Techniques, SM-Bank 045 MC
Which of the following is a like term to \(8m\)?
- \(3m^2\)
- \(8mn\)
- \(2m\)
- \(4+m\)
Algebraic Techniques, SM-Bank 044
Evaluate the expression \(x^2+3x-4\) when:
- \(x=1\) (2 marks)
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- \(x=3\) (2 marks)
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Algebraic Techniques, SM-Bank 043
Evaluate the expression \(-2x^2\) when:
- \(x=1\) (1 mark)
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- \(x=-2\) (2 marks)
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- \(x=-\dfrac{1}{2}\) (2 marks)
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Algebraic Techniques, SM-Bank 042
Evaluate the expression \(w^2\) when:
- \(w=4\) (1 mark)
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- \(w=-1\) (2 marks)
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- \(w=\dfrac{1}{3}\) (2 marks)
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Algebraic Techniques, SM-Bank 041
Evaluate the expression \(\dfrac{c}{2}-\dfrac{b}{3}+a\) when \(a=-4\), \(b=-3\) and \(c=10\). (2 marks)
Algebraic Techniques, SM-Bank 040
Evaluate the expression \(\dfrac{20}{c}+\dfrac{15}{d}\) when \(c=-2\) and \(d=3\). (2 marks)
Algebraic Techniques, SM-Bank 039
Evaluate the expression \(11+a-3b\) when \(a=13\) and \(b=8\). (2 marks)
Algebraic Techniques, SM-Bank 038
Evaluate the expression \(-2x+7y\) when \(x=1\) and \(y=-2\). (2 marks)
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