Algebra Vocab Lesson

Algebra Vocab Lesson

w - 3.5 = 12.5

25 = x + 7

3y = 30

These are examples of equations.

An equation is a math sentence containing

an equals sign (=).

Multiple Select

Identify the three equations.

• x + 4 = 10

• s - 5

• 3a = 18

• d - 6 = 2

• 3w + 8

s + 7

5t - 3

18g

These are EXPRESSIONS.

An expression is a part of a math sentence. There are usually numbers and variables, and at least one operation.

There is NO equals sign

Multiple Select

Identify the three expressions

• 4x

• 45 = 5t

• 3c - 2

• 16 - s

• r = 7 = 10

Terms are the building blocks of equations.

2y , 3 , and 11 are terms

and part of the equation

2y + 3 = 11

notice that the terms are separated by the + and =

In this equation

y - 8 = 12

there are 3 terms: y, 8, and 12

In this equation

7f = 42

there are 2 terms: 7f and 42

notice that the terms are separated by the - and =

Poll

Use this equation to answer the following question:

3r + 9 = 45

• There are 4 terms

  3, r, 9, 45

• There are 3 terms

  3r, 9, 45

• There are 2 terms

  3r + 9 , 45

• There are 5 terms

  3, r, +, 9, 45

Poll

Use this equation to answer the following question:

9p = 63

• There are 4 terms

  9, p, =, 63

• There are 3 terms

  9, p, 63

• There are 2 terms

  9p, 63

Coefficients

coefficients are the numbers

being multiplied times the variable.

Ex: 9s = 45

the coefficient is 9

Ex: 3d + 7 = 19

the coefficient is 3

Coefficients

the number being multiplied times the variable

In this equation: 40 = 4 + 8m

8 is the coefficient

In this equation: y + 6 = 10

the coefficient is 1

even though it isn't written, there is an implied 1 in front of the y .

instead of writing 1y + 6, it is simply y + 6

Multiple Choice

In this equation:

58 = 3x - 2

identify the coefficient

• 58

• 3

• 2

• x

Multiple Choice

In this equation:

6g - 7 = 29

identify the coefficient

• 6

• g

• 7

• 29

Multiple Choice

In this equation:

5t = 85

identify the coefficient

• 85

• t

• 5

Multiple Choice

In this equation:

b + 8 = 4

identify the coefficient

• 8

• b

• 4

• 1

Variables

A variable is a symbol (usually a letter) that represents an unknown amount.

In the equation m - 6 = 10

m is the variable

It is called a variable because its value will change , or vary,

from problem to problem

Multiple Select

Identify the variable in this equation:

6 + 4w = 54

• 6

• 4

• w

• 54

Multiple Select

Identify the variables in this equation:

9t + f = 31

• 9

• t

• f

• 31

Multiple Select

Identify the variable in this equation:

7r + 9 = 23

• 9

• 7

• r

• 23

Multiple Choice

What best describes the 8 in this equation?

3 + 8h = 35

• variable

• coefficient

• expression

• equation

Multiple Choice

What best describes the 3+8h in this equation?

3 + 8h = 35

• variable

• coefficient

• expression

• equation

Multiple Choice

What best describes the h in this equation?

3 + 8h = 35

• variable

• coefficient

• expression

• equation