**Introduction :**

Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures. We know that algebra is very important and easy concept in math. Different types of concepts and different methods are followed in math. Calculation of steps is also called computation .Here we are goingto see the lesson plans for algebra.

**(Source: wikipedia)**

**Like terms in algebra lesson plans: **

**Given: **

32v^{2}+14u+13k+22v^{2}+8k+5k

**Solution:**

**Step 1: **It can be written as 32v^{2}+22v^{2}+8k+5k+13k+14u

**Step 2:** Here we need to add the terms so we get 54v^{2}+26k+14u.

**Solve multi step equation in algebra lesson plans:**

**Given: **

e + 3e + 9 = 47 + e – 15

**Solution:**

**Step 1:*** *Here first we need to simplify both the sides that is,

**Step 2:**4e+9=47+e-15 (now we need to subtract e on both the sides).

**Step 3:**4e-e+9=32+e-e.

**Step 4:**** **3e = 23(subtract 9 on both the sides).

**Step 5:** `(3e)/(3)` = `(23)/(3)` . (here we need to divide using 3 on both the sides).

**Step 6:**e=`(23)/(3)`

**Solve inequalities in algebra lesson plans: **

**Given:**

6(x+1) <2x+3

**Solution:**

**Step 1:**** **It can be written as 6x+6<2x+3. (Subtract 2x on both the sides)

**Step 2**:6x-2x+6<2x-2x+3.

**Step 3:**4x+6<3 (subtract 6 on both the sides)

**Step 4**:4x+6-6<3-6.

**Step 5:**4x<-3 .so x=" " `(-3)/(4)` .

**Solve propositions in algebra lesion plans:**

**Given:** `(n)/(33)` = `(32)/(24)`

**Solution:**

**Step 1:** We need to find n value.

**Step 2:** Here we are using cross multiplication method to solve x

**Step 3:** So, when we cross multiply we get 24 n="1056

**Step 4:** Now we divide using 24 on both the sides

**Step 5:** The value of n="44.

**Adding polynomials in algebra lesson plans: **

(7*x*^{3} + 9*x*^{2} – 4*x* + 5) + (8*x*^{3} – 3*x*^{2} + *x* – 4)

**Solution:**

**Step 1: **(7*x*^{3} + 9*x*^{2} – 4*x* + 5) + (8*x*^{3} – 3*x*^{2} + *x* – 4).

**Step 2:** It can be written as 7*x*^{3} + 9*x*^{2} – 4*x* + 5 + 8*x*^{3} – 3*x*^{2} + *x* – 4.

**Step 3:** now we need to simplify this, so.

**Step 4: **7*x*^{3} + 8*x*^{3} + 9*x*^{2} – 3*x*^{2} – 4*x* + *x* + 5 – 4.

**Step 5:** So, the answer is 15*x*^{3} + 6*x*^{2} – 3*x* + 1.

**Subtracting polynomials in algebra lesson plans: **

(12x^{2}+4x+1)- (6x^{2}-9x-3)

**Solution:**

**Step 1:*** *First we need to change the signs and clear the parenthesis .so, 12x^{2}+4x+1-6x^{2}+9x+3

**Step 2:*** *Now we need to combine like terms .so, 12x^{2}-6x^{2}+4x+9x+1+3

**Step 3:** So the answer is -6x^{2}+13x+4.

These are the examples of algebra lesson plans.** **