Question 15 Marks
Match Column $I$ with Column $II$ in the following:
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Column $I$
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Column $II$
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$1$
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The difference of $3$ and a number squared
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$(a)$
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$4 - 2x$
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$2$
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5 less than twice a number squared
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$(b)$
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$n^2 - 3$
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$3$
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Five minus twice the square of a number
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$(c)$
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$2n^2 - 5$
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$4$
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Four minus a number multiplied by $2$
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$(d)$
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$5 - 2n^2$
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$5$
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Seven times the sum of a number and $1$
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$(e)$
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$3 - n^2$
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$6$
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A number squared plus $6$
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$(f)$
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$2(n + 6)$
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$7$
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$2$ times the sum of a number and $6$
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$(g)$
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$7(n + 1)$
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$8$
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Three less than the square of a number
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$(h)$
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$n^2 + 6$
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Answer
Solution:
1. Let the number be $n$.
According to the statements we can write the equation $=3-n^2$
2. Let the number be $n$.
The equation is $2 n^2-5$
3. Let the number be $n$.
The equation is $5-2 n^2$
4. Let the number be $n$.
The equation is $4-2 x$
5. Let the number be $n$.
The equation is $7(n+1)$
6. Let the number be $n$.
The equation is $n^2+6$
7. Let the number be $n$.
The equation is $2(n+6)$
8. Let the number be $n$.
The equation is $n^2-3$
View full question & answer→|
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Column $I$
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Column $II$
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$1$
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The difference of $3$ and a number squared
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$(e)$
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$3 - n^2$
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$2$
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$5$ less than twice a number squared
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$(c)$
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$2n^2 - 5$
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$3$
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Five minus twice the square of a number
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$(d)$
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$5 - 2n^2$
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$4$
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Four minus a number multiplied by $2$
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$(a)$
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4$ - 2x$
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$5$
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Seven times the sum of a number and $1$
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$(g)$
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$7(n + 1)$
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$6$
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A number squared plus $6$
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$(h$)
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$n^2 + 6$
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$7$
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$2$ times the sum of a number and $6$
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$(f)$
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$2(n + 6)$
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$8$
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Three less than the square of a number
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$(b)$
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$n^2 - 3$
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1. Let the number be $n$.
According to the statements we can write the equation $=3-n^2$
2. Let the number be $n$.
The equation is $2 n^2-5$
3. Let the number be $n$.
The equation is $5-2 n^2$
4. Let the number be $n$.
The equation is $4-2 x$
5. Let the number be $n$.
The equation is $7(n+1)$
6. Let the number be $n$.
The equation is $n^2+6$
7. Let the number be $n$.
The equation is $2(n+6)$
8. Let the number be $n$.
The equation is $n^2-3$