Class 10th Algebra Questions with Answers

Which real numbers are equal to their cubes?
    Write 4*10-2 as a decimal.
    Write 0.12*10-3 as a decimal.
    Write 2 log3 x + log3 5 as a single logarithmic expression.
    Factor the algebraic expression 6x2 - 21xy + 8xz - 28yz.
    Factor the algebraic expression (x - 1)2 - (y - 2)2.
    Factor the algebraic expression x2 - z4.
    Evaluate the algebraic expression |-2x - y + 3| for x = 3 and y = 5
    Simplify the algebraic expression -2(x - 3) + 4(-2x + 8)
    Expand and simplify the algebraic expression (x + 3)(x - 3) - (-x - 9)
    Which property is used to write a(x + y) = ax + ay
    Simplify 8 x3 / 2 x-3
    Simplify (-a2b3)2(c2)0
    For what value of k is the point (-2, k) on the line with equation -3x + 3y = 4?
    For what value of awill the system given below have no solutions?2x + 6y = -2
    -3x + ay = 4

Which equation best describes the relationship between x and y in this table?

 

 
x   y
0   -4
4   -20
-4   12
8   -36

 

    y = - x/4 - 4
    y = - x/4 + 4
    y = - 4x - 4
    y = - 4x + 4

    Which equation best represents the area of the rectangle below?

    problem.
        area = 2(x+1) + 2(x-1)
        area = 4(x+1)(x-1)
        area = 2x2
        area = x2 - 1
    Which line given by its equation below contains the points (1, -1) and (3, 5)?
        -2y -6x = 0
        2y = 6x - 8
        y = 3x + 4
        y = -3x + 4
    Solve the equation 2|3x - 2| - 3 = 7.

    Solve for x the equation (1/2)x2 + mx - 2 = 0.

    For what values of k the equation -x2 + 2kx - 4 = 0 has one real solution?

    For what values of b the equation x2 - 4x + 4b = 0 has two real solutions?

    Function f is described by the equation f (x) = -x2 + 7. What is the set of values of f(x) corresponding to the set for the independent variable x given by {1, 5, 7, 12}?

    Find the length and width of a rectangle whose perimeter is equal to 160 cm and its length is equal to triple its width.
    Simplify: |-x| + |3x| - |-2x| + 3|x
    If (x2 - y2) = 10 and (x + y) = 2, find x and y.

Answers to the Above Questions

    0 , 1 , -1 are all equal to their respective cubes.
    0.04
    0.00012
    = log3 x2 + log3 5 = log3(5x2)
    = 3x(2x - 7y) + 4z(2x - 7y) = (2x - 7y)(3x + 4z)
    = [(x - 1)- (y - 2)][(x - 1)+ (y - 2)] = (x - y + 1)(x + y - 3)
    = (x + z2)(x - z2) = (x + z2)(x + z)(x - z)
    = |-2(3) - (5) + 3| = |-8| = 8
    = -2x + 6 -8x + 32 = -10x + 38
    = x2 - 9 + x + 9 = x2 + x
    distributivity
    4 x6
    a4b6
    k = -2/3
    a = -9
    C. y = - 4x - 4
    D. area = (x + 1)(x - 1) = x2 - 1
    B. 2y = 6x - 8
    solution set : {7/3 , -1}
    solution set : {-m + sqrt(m2 + 4) , -m - sqrt(m2 + 4)}
    k = 2 , k = -2
    all values of b less than 1
    {6 , -18 , -42 , -137}
    width = 20 cm and length = 60 cm
    |-x| + |3x| - |-2x| + 3|x| = 5|x|