# ALGEBRA TEST 1 [CBSE , IGCSE , GCSE , 8th to 10th Grade in the US]

Given that 2x - 3y = 7 and 3x - 4y = 10

Find the value of x + y

Given a pair of simultaneous linear equations : 2x - 5y = 6 and 10y - 4x + 12 = 0

Which of the following statements is true for the above pair of equations ?

y is inversely proportional to the square root of x . When x = 64 , the value of y = 20

Find the value of x when y = 5

Given that f(x) = 30( x^2 - 3x + 2) and g(x) = 50(x^2 - 2x + 1)(x^2 - 5x + 6)

Find the h.c.f ( highest common factor) of the above polynomials.

Find the value of b for which the polynomial 2x^3 + 9x^2 - x - b is divisible by 2x + 3 ?

Given that : (x - 1) and ( x + 2) are factors of the polynomial , 2 x^3 + m x^2 + nx -14

Find the values of m and n

Find the missing factor in the given equation : 8p^3 - 1 = (2p - 1)( ...............)

The sum of a two-digit number and the number formed by interchanging its digits is 132.

If 12 is added to the numer, the new number becomes 5 times the sum of the digits

Find the product of the two digits of the number

Given that y = x^2 - 8x + 7

Where does the least possible value of y occur ?

A motor boat whose speed is 18 km/h in still water takes 1 hour more to go 24 km upstream than to return

downstream to the same spot. Find the speed of the stream

Line y = x + 2 and curve y = x^2 intersects at two points A and B

The square of the length of AB will be equal to .....................

Description:

This is an ALGEBRA test for High School students . It will enable them ( 8th Grade to 10th Grade) to have a quick revision of entire Algebra they might have been taught up to 10th Grade. Ideal for 8th and 9th grade students doing Algebra 1 in the US
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