Lesson: The Language of Algebra

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​The Language of Algebra

​Objective: to identify variables and constants in expressions and equations

​Vocabulary

​Example: 4x + 2

​

​Example: -7x - 14

​(2 is the constant)

​(-14 is the constant)

​Constant: a fixed value, a number on its own, whose value does not change. Positive or Negative

​Variable: any letter or symbol that represents a changeable or unknown value.

​

​Vocabulary

​4x + 2

​x is the variable

🔲+ 2 = 8

​Examples: x + 2 = 8

​Coefficient: the number multiplied by the variable. It is located in front of the variable.

​

A coefficient may either be positive or negative.

​Vocabulary

​4×🔲 + 2

​(4 is the coefficient)

​(-8 is the coefficient)

​Example: 4x + 2

​

​​Example: -8x + 3

MEANS

​Coefficient: **special note**

​

​If there is no visible coefficient, then 1 is the coefficient.

​Vocabulary

​Example: x + 7

​-x + 7

​-1x + 7

​1x + 7

​same thing

​same thing

Dropdown

In the expression: 7x - 4, the 4 is a ​

Select answer

, the x is the ​

Select answer

and the 7 is the ​

Select answer

​Term: a number (like 5)

a variable (like y)

the product of a number and variable (like 3x)

the product of a number and variables (like 8xy)

​

​Terms are separated by + or  -

​Vocabulary

​Example: 6x + 7

​

first term

second term

Dropdown

In the expression 2x + 9y - 8 + 12xy, there are ​

Select answer

terms and the coefficient of the second term is ​

Select answer

.

Math Response

What is the sum (+) of the coefficients of the second and third terms?

12w - 5s + 16y + 3abc

Type answer here

Correct Answer: 11

Deg^°

Rad

​Vocabulary

​Equation: two expressions balanced with an equal sign. 

​Vocabulary

​expression 1 = expression 2

​9x - 4 = 8x + 23

Categorize

Options (6)

$$4x-9$$  

$$16-\frac{1}{4}y$$  

$$6y+9=2$$  

$$\frac{3}{4}z-\frac{1}{3}=\frac{4}{33}$$  

$$x^2-5x+9$$  

$$12=8x$$  

Organize these options into the correct categories.

Algebraic Expression

Algebraic Equation