6th Grade Math Textbook, Fundamentals

 &KDSWHU

2-3

Key Concept

Equations

An is a statement that contains an equal sign () showing

that two mathematical expressions are equal.

An equation can be either numerical or algebraic.

A contains only numbers and operations.

An contains one or more variables and at

least one mathematics operation. It may also contain numbers.

equation

algebraic equation

numerical equation

Word Sentence Equation Equation Type

Two squared plus sixequals ten. 22  6  10 numerical

The opposite of three decreased by negative

tenis seven.

 3 (10) 7 numerical

The product of six and fiveis equal to thirty. 6(5) 30 numerical

The difference of two to the third power and

negative fouris twelve.^2

(^3) (4) 12 numerical
A number (y) divided by nineis equal to four. y 4
9 algebraic
Eighty-oneis equal to ten less than the square
of a number (x).^81 x
(^2)  10 algebraic
The absolute value of negative six plus a
number (n) is equal to six. |6| n^6 algebraic
The opposite of the absolute value of negative
threeequals three plus a number (z). |3|^3 z algebraic
Let nthe number of dollars Mr. Chu will earn.
hours worked hourly rate
3 • $50 n amount Mr. Chu will earn
3 • $50 n
$150 n
Mr. Chu will earn $150 for 3 hours of work.

You can write numerical and algebraic equations from word sentences.

algebraic equation

Equations

Objective To identify algebraic equations and numerical equations

• To identify equations as true or false, closed or open

Mr. Chu is a computer programmer. He charges $50 per hour for
his services. If he works for 3 hours, how much will he earn?

To find how much Mr. Chu will earn, write an equation.