Fundamentals of Math - old
Fundamentals of Mathematics
Algebra, like English, can be broken into a series of parts: expressions and equations. Expressions are to phrases as equations are to sentences. Expressions are numbers, symbols, and operators grouped together to show the value of something, but lack an equal sign (the verb). For example,
9 2
5 + 7 − 8 + 2
3 + 5
Whereas equations are statements that set two expressions equal to each other. For example
9 2 = 81
5 + 7 − 8 + 2 = 6
3 + 5 = 20
We can classify parts of expressions (or equations) even further. Expressions are made up of terms , a single number or variable, or numbers, and variables multiplied together. A variable is a quantity that can change and may contain a coefficient , the number multiplied with a variable. Terms that do not contain any variables are known as constants .
12 + − 3 + 7 + 2
Terms
Coefficients
Variables
Constants
12 , , −3 , 7, 2
12, 1, −3
7, 2
Practice 3.3.1
Directions: Identify each of part of the equation: terms, coefficients, variables, and constants.
Problem 1
Problem 2
Problem 3
Problem 4
Phrase
2 + 4 − 1
7 − 6 +
3 + 8
15 − 11 + 4
Terms
Coefficients
Variables
Constants
Answer Key on Page 119
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