Math Practice 4

Introduction:

The math practice 4 is the basic concepts involved in mathematics. Here the topic discussed are  about the usual terms in algebra like addition, subtraction, multiplication and division. Then it also solves some word problems for easy understandings so that learning math becomes simple and easy for the learners.

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Basic concepts:


The math practice 4 involves some basic concepts in mathematics. In this we are going to see about algebra in math practice 4 .They are:

Variables
Expressions
Terms
Polynomials
Equations

Example problems:


Example 1: Solve for x?

79 + 33  = x

Solution:

To find x value

79 + 33 = x

x =112

The answer x is 112

Example 2:

The number decreased by 70 is 12 times its opposite. Find the number.

Solution: First we convert the algebra word problem to a numerical form to get the solution.
The number is decreased by 70 is 12 times its opposite.
Write an equation.

x - 70 = -12x                       (Equation)

x - 70 + 70 = -12x + 70       (add 70 on both sides we get)

x + 12x = -12x +12x + 70     (add 12x on both sides we get)

11x = 70

x = 6.36

Example 3 : Solve for M?

77 + 3 = M

Solution:

77 + 3 = M

M = 80

The answer M is 80

Example 4: Solve for q?

q + 7 = 49

Solution:

To solve the p value

q = 49 – 7

q = 42


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Example 5: Solve the following system of the linear equations using the method of substitution.

x - y = -6 ,4x+8y = -48

Solution:

Step 1: Rearrange the first equation,

x - y = -6

y = x + 6

Step 2: Substitute this value for y into the second equation;

4x + 8(x + 6) = -48

Step 3: Expand and simplify the equation:

4x + 8x + 48 = -48

12x = -96

x = -8

Step 4: Substitute x back into the one of that original equations;

-8 - y = -6

y = -2