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Dividend = Divisor x Quotient + Remainder

Multiplication and division are inverse operations. To solve the equations first observe the operation which is applied and then an inverse operation is to be applied to undo that.

Multiplication is used here. So apply the inverse of that (division).

x = 3

1) 6 ÷^{5}⁄_{7}=

(a)^{ 30}⁄_{7 } (b)^{ 42}⁄_{5 } (c)^{ 5}⁄_{42 } (d) ^{ 7}⁄_{30 }

Answer: b

2) ^{6}⁄_{0 }=

(a) 0 (b) 6 (c) 1 (d) Not possible

Answer: d

3) Multiply 3p and 4p² + 5p + 8

Answer: 3p ( 4p² + 5p + 8)

= 12p³ + 15p² + 24p

4) Divide 16p² - a² with 4p + a

(a) 4p + a (b) 4p – a (c) 16p + a (d) 16p – a

Answer: b

5) Divide 8a³ - 27 with 4a² + 6a + 9

(a) 2a + 3 (b) 4a + 3 (c) 4a – 3 (d) 2a – 3

Answer: d