** **** ** An algebraic expression is a mathematical phrase that can contain ordinary numbers, variables and operators. When we are working in algebra, we need to change words and phrases into some form of mathematical expression. When we hear "the subtraction of 35 from x" we know it refers to subtraction and we think x - 35.

Related Calculators | |

Mathematical Equation Solver | Calculator for Expressions |

Add Rational Expressions Calculator | Boolean Expression Calculator |

In
mathematics, expression is a finite group of algebraic terms and
mathematical symbols combined with no equal or in equality sign. In algebra and in other branches of mathematics, letters are used to represent numbers with unknown or unassigned values.

Writing expressions for single statements is as follows:

Statement |
Mathematical Expressions |

12 divided by a number m | $\frac{12}{m}$ |

Product of 20 and a number x | 20 * x |

A number x decreased by 28 | x - 28 |

Difference of a number y and 23 | y - 23 |

Given f(x) = 10x - 12

f(0) = 10 * 0 - 12 = 0 - 12 = -12

f(1) = 10 * 1 - 12 = 10 - 12 = -2

f(2) = 10 * 2 - 12 = 20 - 12 = 8

f(0) = 10 * 0 - 12 = 0 - 12 = -12

f(1) = 10 * 1 - 12 = 10 - 12 = -2

f(2) = 10 * 2 - 12 = 20 - 12 = 8

Given 10x - 12 = 25

Isolate x by adding 12 to each side

10x - 12 + 12 = 25 + 12

10x = 37

Divide each side by 10

x = $\frac{37}{10}$ = 3.7

Isolate x by adding 12 to each side

10x - 12 + 12 = 25 + 12

10x = 37

Divide each side by 10

x = $\frac{37}{10}$ = 3.7

Given below are the steps to evaluate mathematical expressions:

**Steps for Simplifying the Math Expressions :**

** Step 1:** Group the terms containing the matching variable together in algebra expressions.

** Step 2:** Perform the operation in the parentheses for the variable and other.

** Step 3: **Rewrite the expressions and simplify the mathematical expressions.

**Step 4:** To check the equation, if there is able to simplify the expression, then repeat the step 1 to 4.

**Basic Natural Law for Mathematical Expression:**

In elementary algebra, we list the basic rules and properties of pre-algebra.

**Commutative Property of Addition**** **

a + b = b + a **Commutative Property of Multiplication**

a * b = b * a **Associative Property of Addition**

(a + b) + c = a + (b + c) **Associative Property of Multiplication **

(a * b) * c = a * (b * c) **Distributive Properties of Addition over Multiplication.**

- a * (b + c) = a * b + a * c
- (a + b) * c = a * c + b * c

Given 10x(2x + x^{2})

A(B + C) = AB + AC

** Step 1: **Determine what terms represent A, B and C in the given equation.

A represents 10x.

B represents 2x.

C represents x^{2}

**Step 2:** Make the multiplication operation.

AB = 10x(2x) = 20x^{2}

AC = 10x(x^{2}) = 10x^{3}

**Step 3:** Rewrite the problem.

10x(2x + x^{2}) = 20x^{2 }+ 10x^{3}

Given 11y - 10 = 12 + 13y

Combine the like terms

11y - 13y = 12 + 10

-3y = 22

Divide each side by -3

y = $\frac{-22}{3}$.

Combine the like terms

11y - 13y = 12 + 10

-3y = 22

Divide each side by -3

y = $\frac{-22}{3}$.

Let the age of Lessa's sister = x years

Then, age of Lessa = x + 5 (Given)

Sum of their age = 45

Age of Leesa's sister + age of Leesa = 45

x + x + 5 = 45

2x + 5 = 45

2x = 45 - 5 = 40

x = $\frac{40}{2}$ = 20

Therefore, Leesa is of 20 + 5 = 25.

Then, age of Lessa = x + 5 (Given)

Sum of their age = 45

Age of Leesa's sister + age of Leesa = 45

x + x + 5 = 45

2x + 5 = 45

2x = 45 - 5 = 40

x = $\frac{40}{2}$ = 20

Therefore, Leesa is of 20 + 5 = 25.

More topics in Mathematical Expression | |

Simplifying Expressions | Temperature Conversion |

Algebra Symbols and Terms | Binary Operation |

Related Topics | |

Math Help Online | Online Math Tutor |