Friday, February 22

Mathematics Program

Introduction to solve algebra homework answers:

Algebra is one of the main branches of mathematics that deals with calculating unknown variables from the help of known values. Homework problem with answers helps us to understand the concept of algebra. It is the study of rules of operation and relations, algebraic expressions, conditions and polynomials. An algebraic expression represents a scale where all the arithmetic operations are carried out on both the sides of the scale. Algebra homework problem contains problems with complex numbers, matrices, vector etc. The solved homework problems with answers are given below.

solve algebra homework answers : Examples


The following are the solved example problems for algebra homework.

Ex 1:

Solve the algebraic expression

6(c -3) + 5d - 2(c -d -2) + 1

Sol:

Given algebraic expression is

6(c -3) + 5d - 2(c -d -2) + 1

Multiplying the integer with above terms

= 6c - 12 + 5d -2c + 2d + 4 + 1

Grouping the above terms

= 6c + 7d – 7

Ex 2:

Solve the algebraic equation.

x 2 - 3x = 0

Sol:

Given equation is
x 2 - 3x = 0

Take X factor as common
x (x - 3) = 0

So the product x (x - 3) to be equal to zero, then we get

x = 0 or x - 3 = 0

Solve the above simple equations to obtain the solutions.
x = 0
or
x = 3

X= 0 or 3 is the solution.

Ex 3:

Solve the algebraic expression

4(a -1) + 2b - 5(a -b -4) + 5

Sol:

Given algebraic expression is

4(a -1) + 2b - 5(a -b -4) + 5

Multiplying the integer terms

= 4a - 4 + 2b -5a + 5b + 20 + 5

Grouping the above terms

= -a + 7b + 21

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Solve algebra homework answers : Practice problems


Find h (4) and g(4) and h(4) / g(4) and the functions g and h is given as

h (x) = 3x - 8 and g (x) = x 2 - 12

Solution:

Calculate h(4)

h(4) = 3(4) - 8 = 4

Calculate g (4)

g (4) = 4 2 - 12
= 16 -12 = 4

h (4) / g (4) =4/4 =1

Solve the algebraic expression

4(c -1) + 2d - 5(c -d -4) + 5

Solution:

Given algebraic expression is

4(c -1) + 2d - 5(c -d -4) + 5

Multiplying the integer terms

= 4c - 4 + 2d -5c + 5d + 20 + 5

Grouping the above terms

= -c + 7d + 21

Solve the equation     5(-2x - 2) - (-2x - 4) = -4(4x + 4) + 15

Sol:

Given the equation

5(-2x - 2) - (-2x - 4) = -4(4x + 4) + 15

Multiplying the integer with above terms.
-10x - 10 + 2x + 4 = -16x - 16 +15

Grouping the above terms.

-8x - 6 = -16x - 1

Add -8x - 6 to both sides, the above equation becomes

-8x = 7

X= -7/8

The practice problems are given below for homework.

1) Solve the algebraic equation     6(-8y - 3) - (-5y - 5) = -8(2y + 4) + 9

Answer: y = 8/27

2) Solve the algebraic equation.   x 2 - 10x = 0

Answer:   x= 0 or 10

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