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homework assignment help is most useful online help portal for the students that providing all Online Algebra Assignment help Algebra is a branch of mathematics. Algebra plays an important role in our day to day life. Algebra 1 notes cover the four basic operations in algebra such as addition, subtraction, multiplication and division. The most important terms of algebra, variables, constant, coefficients, exponents, terms and expressions are covered algebra 1 notes. We will know the symbols and alphabets in the place unknown values for algebra 1 notes. Therefore, students are getting help for algebra 1 notes.

Examples for Algebra 1 Notes:

Example 1:

Simplify the expression. (5x + 3) - (2x + 3)

Solution:

(5x + 3) - (2x + 3) Now we have to multiply “–“ with the expression 2x + 3. So we get,

= 5x + 2- 2x - 3 5now we have to group the terms. So we get,

= 5x – 2x + 3 – 3

= 3x

Example 2:

Multiply the following terms (4x) ( 2x + 4).

Solution:

(4x) ( 2x + 4)Now we have to  multiply 4x with 2x +4 like below.

= (4x `xx` 2x) + (4x `xx` 4)          Note: (`a^m` ) (`a^n` ) = `a^(m+n)`

= 8`x^2` + 16x

Example 3:

Multiply the following terms (4`x^6` ) ( 5`x^8` `y^21` ).

Solution:

(4`x^6` ) ( 5`x^8` `y^21` ).we have to  multiply 4`x^6` with 5`x^8` `y^21` like below.

= 4`x^6` `xx` 5`x^8` `y^21.`

= 4 `xx` 5 (`x^6` ) (`x^8` ) (`y^21` )  Note: (a^m) (a^n) = a^(m+n)

= 20 `x^(6+8)` `y^21`

 = 20 `x^14 ` `y^21`

Example 4:

Find the intercepts for the following equation 6x +  3y = 7

Solution:

 6x +  3y = 7

X – Intercept:

For finding the x – intercept, we have to plug-in y=0.

6x +  3(0) = 7

6x = 7 now we have to divide both sides by 6.

`(6x)/6` = 7/6

X = 1.17

Y- intercept:

For finding y- intercept, we have to plug-in x=0.

6(0) +  3y = 7

3y = 7 now we have to divide both sides by 3.

`(3y)/3 ` = 7/3

Y= 2.33

Example 5:

Factor the following expression 8`x^2` + 12x+4.

Solution:

8x^2 + 12x+4

Now we have to multiply the coefficient of the term 8`x^2`  with the constant term 4. So we get

8 × 4 =32

Now we have to find the factor to 32. The factors are 4,8. By these factors, we can split out the term 11x as 7x + 4x. Therefore, the given equation become like below.

(8`x^2`  + 8x) + (4x+4)  Now we have to take out the common terms like below.

8x(x + 1) + 4(x +1)

(x + 1) (8x +4)

Practice Problems for Algebra 1 Notes:

1. Subtract the following expression. (3x + 4) – (2x +3)

2. Multiply the following terms (3x) ( 4x + 2).

3. Multiply the following terms (6`x^5` `y^4` ) ( 8 `x^5` `y^4` ).

4. Find the intercepts for the following equation 7x +  7y = 7

5. Factor the following expression 9`x^2` + 14x+5.

Answer key:

  1. x + 1
  2. 12`x^2` + 6x
  3. 48 `x^10` `y^8`
  4. x – intercept = 1; y – intercept = 1
  5. (x + 1) (9x + 5)

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