Identify Terms, Like Terms, Coefficients and Constants

What are the coefficients in an expression?

• The numbers multiplied by the variables

• The operations in the expression

• The constants in the expression

• The exponents in the expression

What are the coefficients in the expression 8x - 3 + 12xy?

• -3, 8, 12

• x, y

• 8, 12

• There are no coefficients in this expression

Identify the coefficients in this expression. 4 + 3x + 5x

• 3x, 5x

• 4, 3x, 5x

• 3, 5

• x

A number on its own that does not change and is without a variable is known as a _______________.

• Term

• Variable

• Coefficient

• Constant

Identify the terms, coefficients, and constants of the expression. 3r²+4r+8

• Terms: 3r², 4r, 8    Coefficient: 3, 4   Constant 8, 3

• Terms: 3r², 4r, 8    Coefficient: r²     Constant: 8 

• Terms: 3r²     Coefficient: 3, 4, r²     Constant: 8

• Terms: 3r², 4r, 8   Coefficient: 3, 4    Constant: 8

Identify the terms, coefficients, and constants in the expression

Groups:

(a) Terms

,

(b) Coefficients

,

(c) Constants

• 15

• 2m, 15, 5p

• 5

• 2

Identify the terms, like terms, coefficients, and constants, in the expression.

• Terms: 3x, 2, -10, -3x
  Like Terms: 2, -10
  Coefficients: 2, -10
  Constants: 2, -10

• Terms: 3x, 2, -10, -3x
  Like Terms: 3x, -3x
  Coefficients: 2, -10
  Constants: 3, -3

• Terms: 3x, 2, -10, -3x
  Like Terms: 3x, -3x; 2, -10
  Coefficients: 3, -3
  Constants: 2, -10

• Terms: 3x, 2, -10, -3x

  Like Terms: 3x, -3x; 2, -10

  Coefficients: 3, -3, 2, -10

  Constants: 2, -10

In the following expression, 7x + 9y - 3 answer the following questions. How many terms are there? ​ (a)   What is the coefficient of the x-term? ​ (b)   Are there any "like terms"? ​ (c)   What is the constant term? ​ (d)   Is the expression simplified? ​ (e)  

• 3

• 7

• no

• -3

• yes

• 9

• -9

Identify the terms, coefficients, and constants of the expression. 6q+1

• Terms: 6q, 1   Coefficient: 6 Constant: 1

• Terms: 6   Coefficient: 1     Constant: q

• Terms: 6q      Coefficients: 6, 1     Constant: 1

• Terms: 1     Coefficient: 6     Constant: 1, q

In the following expression, the number 7 is an example of a ____________?

5x³ - 7x + 11

• term

• constant

• coefficient

• variable