Introduction to 9th grade algebra 1:

9th grade Algebra 1 involves Polynomials, Arithmetic succession, Geometric succession. In Algebra 1 polynomials there are many topics like adding together, subtracting values, multiplication values and division. An Arithmetic progression is a numeral series in which every one word other than the first is obtained by adding a fixed number to the without delay preceding term.

 

Degree of variables to practice 9th grade algebra 1in algebra 1:

 

           Find the highest power in the given equation is called as degree of algebra expression. This is one of the practice of 9th level students.

  • 2 - 3x + 4x2 + 8x7 : The degree is 7.
  • x8 -x5+ x3- 7x : The degree is 8.
  • X14-x12+134x3: The degree is 14.

 

Examples for practice 9th grade algebra 1

 

Ex 1:

           Find and practice the zero of the polynomial from the given algebra expression P(x) = 2x + 4  at the level of 9th grade.

Sol:

           P(x) = 2x+4,

           Plug in x = -2, then P (-2) = 2(-2) + 4 = -4+4 =0

           Therefore, -2 is a zero of the polynomial 2x+4.

Ex 2:

           Find and practice the problem 4 numbers between 3 and 38 which are in an A.P at the level of 9th grade.

Sol:

          Consider the A.P in the form a, a + d, a + 2d...

          Here a = 3, and a + 5d = 38

          So 5d = 35 and d = 7

          The A.P. is 3, 10, 17, 24, 31, 38...

          The 4 numbers between 3 and 38 are 10, 17, 24, and 31.

Ex 3:

          Find and practice the problem of algebra expression at the level of 9th grade (3x2+4xy+5) +(9x2+10xy+12).

          Combine the terms which are having same powers

                      = (3x2+9x2)+(4xy+10xy)+(5+12).

          Adding the common power terms,

                      = (12x2)+(14xy)+(17).

          So, the solution of given problem is (12x2+14xy+17).                            

Ex 4:

          Solve and practice the algebra expression at the level of 9th grade (3n2+13n2+5n) – (4n2-8n).

          Multiply the (4n2-8n) by (-),

                       = (3n2+13n2+5n-4n2+8n).

          Combine the terms which are having same powers

                        =(3n2+13n2-4n2) +(5n+8n).

                        =(12n2)+(13n).

          So, the solution of given problem is(12n2+13n).     

 

 

                  

Ex 5:

Determine the solution of algebra expression at the level of 9th grade 2xyz (4x+3yz2).

Multiply the terms,

                      =(2xyz)*(4x) + (2xy)*(3yz2).

So, the solution of given problem is (8x2yz)+(6xy2z2).                  

These problems are sample of 9th grade practice problems.