Notes

Just as letters, words, and punctuation are building blocks in the English language, numbers, variables, and signs of operation are building blocks in algebra. Learning to combine these elements of the language helps us create phrases and sentences and allows us to communicate ideas.


Objectives
Simplify algebraic expressions using properties of zero and one.
Translate sentences into algebraic equations.



Vocabulary


additive identity- the number 0 (for the real numbers)


equation- a mathematical sentence whose verb is 'equal' (=)


multiplicative identity- the number 1 (for the real numbers)


open sentence- an equation that contains a variable or variables


symmetric property- when the sides of an equation are interchanged, an equivalent equation is formed; if a = b, then b = a




Vocab Arcade

Mathematical Sentences

In language class, one of the first things you learn is that a sentence requires a verb. It is the same in mathematics. However, in math sentences, we have only one verb: is. We use the equal sign to represent "is." As you probably know, an open sentence having an equal sign (=) is called an equation. With other symbols, we can say "is greater than," "is less than," "is greater than or equal to," etc.

Numerical Sentences

Before you learn to deal with algebraic sentences, let's look at numerical sentences. These are math sentences (equations or inequalities) that do not contain variables. They only contain numbers. Because of this, numerical statements are either true all the time or false all the time.



additive identity the number 0 (for the real numbers)


equation a mathematical sentence whose verb is 'equal' (=)


multiplicative identity the number 1 (for the real numbers)


open sentence an equation that contains a variable or variables


symmetric property when the sides of an equation are interchanged, an equivalent equation is formed; if a = b, then b = a




Vocab Arcade

Mathematical Sentences

In language class, one of the first things you learn is that a sentence requires a verb. It is the same in mathematics. However, in math sentences, we have only one verb: is. We use the equal sign to represent "is." As you probably know, an open sentence having an equal sign (=) is called an equation. With other symbols, we can say "is greater than," "is less than," "is greater than or equal to," etc.

Numerical Sentences

Before you learn to deal with algebraic sentences, let's look at numerical sentences. These are math sentences (equations or inequalities) that do not contain variables. They only contain numbers. Because of this, numerical statements are either true all the time or false all the time.






















Just as letters, words, and punctuation are building blocks in the English language, numbers, variables, and signs of operation are building blocks in algebra. Learning to combine these elements of the language helps us create phrases and sentences and allows us to communicate ideas.


Objectives
Simplify algebraic expressions using properties of zero and one.
Translate sentences into algebraic equations.



Vocabulary




additive identity the number 0 (for the real numbers)


equation a mathematical sentence whose verb is 'equal' (=)


multiplicative identity the number 1 (for the real numbers)


open sentence an equation that contains a variable or variables


symmetric property when the sides of an equation are interchanged, an equivalent equation is formed; if a = b, then b = a




Vocab Arcade

Mathematical Sentences

In language class, one of the first things you learn is that a sentence requires a verb. It is the same in mathematics. However, in math sentences, we have only one verb: is. We use the equal sign to represent "is." As you probably know, an open sentence having an equal sign (=) is called an equation. With other symbols, we can say "is greater than," "is less than," "is greater than or equal to," etc.

Numerical Sentences

Before you learn to deal with algebraic sentences, let's look at numerical sentences. These are math sentences (equations or inequalities) that do not contain variables. They only contain numbers. Because of this, numerical statements are either true all the time or false all the time.
























Show Transcript


Expressions such as 2 · 6 = 12 and 6 > 4 are numerical sentences. Ask yourself if these statements are true or false. In this case, both statements are true.

6 > 10 is a numerical sentence; however, it is a false statement. Another example of a false statement is 8 = 5.


Show Transcript


Expressions such as 2 · 6 = 12 and 6 > 4 are numerical sentences. Ask yourself if these statements are true or false. In this case, both statements are true.

6 > 10 is a numerical sentence; however, it is a false statement. Another example of a false statement is 8 = 5.