Math Expressions Volume 1

Introduction to math expressions volume 1:

We can say that the Mathematical expressions consist of mathematical symbols like addition, subtraction, multiplication, and division and numbers. Every expression consists of variables such as x, y, etc. Expression generally doesn’t contain equal sign the expression with an equal sign then it is called as an equation. Understanding Rational Expressions Calculator is always challenging for me but thanks to all math help websites to help me out.

Math expressions can be obtained by different mathematical operations such as

1) Additions

2) Subtractions

3) Multiplication

4) Division

5) Factoring


Evaluating an expression with variables - volume 1


Single variable:

Example for math expression volume 1:

Evaluate the expression 10 + x - 3 if x = 5

Solution: Given expression,

10 + x - 3

X = 5

Substitute x = 5

10 + 5 – 3 = 10 + 2

= 12.

Example for math expression volume 1 with Two variables:

A mathematical expression consists of two variables. The expression can be simplified by substituting the values of the variables in expression.

Example:

Evaluate the expression 10 + y + x + 2 if x = 3 ,y = 5

Solution : Given expression,

10 + y + x + 2

x = 3

y = 5

10 + 5 + 3 + 2 = 20.

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Sample problems for math expression volume 1:


Problem for math expression volume 1:

1) John has bought 5 kiwis and 6 bananas for $30 find the cost of banana if each kiwi is 2?

Solution:

We can write the expression as as,

5(A) + 6(B) = $30

Each kiwi = $2

So we get

5(2) + 6(B) = $30

10 + 6(0) = 30

6(B) = 30 - 10

6(B) = 20

B = 20/6 = 3.3

Therefore each banana is $3.3.

Problem for math expression: 2

Find the roots for the quadratic expression x^2 + 7x + 12.


Solution:

Given that

Quadratic expression is x^2 + 7x +1 2.

Make it into equation x^2 + 7x + 12 = 0

x^2 + 3x + 4x + 12 = 0

x (x+3) + 4 (x+3) = 0

(x+3) (x+4) = 0

The roots are x= -3,-4.


Practice problems

1) Evaluate the expression (1 +p) × 4 + 15 ÷ 3 - p when p= 12?

2) Solve x - 15 + 20 = 37?