Expression which shows the sign of equality is called *
Equation
Expression
Term
Variable
Answers
Answer:
Identify and write mathematical expressions using words and symbols
Identify and write mathematical equations using words and symbols
Identify the difference between an expression and an equation
Use exponential notation to express repeated multiplication
Write an exponential expression in expanded form
Identify Expressions and Equations
What is the difference in English between a phrase and a sentence? A phrase expresses a single thought that is incomplete by itself, but a sentence makes a complete statement. “Running very fast” is a phrase, but “The football player was running very fast” is a sentence. A sentence has a subject and a verb.
In algebra, we have expressions and equations. An expression is like a phrase. Here are some examples of expressions and how they relate to word phrases:
Expression Words Phrase
3
+
5
3
plus
5
the sum of three and five
n
−
1
n
minus one the difference of
n
and one
6
⋅
7
6
times
7
the product of six and seven
x
y
x
divided by
y
the quotient of
x
and
y
Notice that the phrases do not form a complete sentence because the phrase does not have a verb. An equation is two expressions linked with an equal sign. When you read the words the symbols represent in an equation, you have a complete sentence in English. The equal sign gives the verb. Here are some examples of equations:
Equation Sentence
3
+
5
=
8
The sum of three and five is equal to eight.
n
−
1
=
14
n
minus one equals fourteen.
6
⋅
7
=
42
The product of six and seven is equal to forty-two.
x
=
53
x
is equal to fifty-three.
y
+
9
=
2
y
−
3
y
plus nine is equal to two
y
minus three.
EXPRESSIONS AND EQUATIONS
An expression is a number, a variable, or a combination of numbers and variables and operation symbols.
An equation is made up of two expressions connected by an equal sign.
EXAMPLE
Determine if each is an expression or an equation:
16
−
6
=
10
4
⋅
2
+
1
x
÷
25
y
+
8
=
40
Solution
1.
16
−
6
=
10
This is an equation—two expressions are connected with an equal sign.
2.
4
⋅
2
+
1
This is an expression—no equal sign.
3.
x
÷
25
This is an expression—no equal sign.
4.
y
+
8
=
40
This is an equation—two expressions are connected with an equal sign.
TRY IT
Answer:
Expression which shows the sign of equality is called equation