Question Bank-Advanced Math

!)If 2x(3y-2z=x+3,What is the value of z in terms of x and y.?

2)g(x)=1/x+3-2/x, what is the value of g(1/3)?

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3)Sum of the square of p and square root of q is equal to the square of the difference of p and q

Which of the following expresson is equivalent to the given statement

A)√p+q2= (p-q)2

B)p2+√q=(p-q)2

C)(p+√q)2=(p-q) 2

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4)The two numbers differ 1/3, and the sum of their numbers is s .Express the s in terms of the smaller number.

Solution: difference is =1/3

Let the smaller of the number is x

Then the other number = x+1/3 (given the difference is 1/3)

Their sum s= smaller number + the bigger number

= x + (X+1/3) = x+x+1/3 =2x+1/3

=2x*3+1/3=6x+1/3

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5)If m and n are odd integer.

Then which of the following are true.

A)(m-2)+(n+1) is even

B) (m+6) ÷(n+2) is odd

(m+3)×(2n) is odd

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6)6)

< ---------x3———————–x6————-x2—

In the above number line , Find the value of x

Solution: here x3< (x)2

It means that the value of x is negative

x6<(x)2 ( since 6 > 2)

X is fraction

To satisfy both the condition x is negative fraction

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7) If f(x)= 3x-5(x)2 and g(x) =2 +3x.

Find the value of g(-3)+_f(2)

8)if g(y)=7x+2 and f(x)=x3 find the equivalent of f(m)-g(m)

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9) if p= 2×2[(x)2+2)}Find the value of p-5.

10) set A={ a,b,c,j,k,r} and set B={.k,d,t,r,s,j}

A) find the intersection of A and B

B) Find the union of A and B

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