Constant and Coefficient Algebraic Reasoning

What is a coefficient?

• the numerical part of a term; the constant that is multiplied by a variable

• a term without a variable; a number

• terms with the same variable parts

• a variable, a constant, or a product of a variable and a constant

What is a constant?

• the numerical part of a term; the constant that is multiplied by a variable

• a term without a variable; a number

• terms with the same variable parts

• a variable, a constant, or a product of a variable and a constant

What is a term?

• the numerical part of a term; the constant that is multiplied by a variable

• a term without a variable; a number

• terms with the same variable parts

• a variable, a constant, or a product of a variable and a constant

What are like terms?

• the numerical part of a term; the constant that is multiplied by a variable

• a term without a variable; a number

• terms with the same variable parts

• a variable, a constant, or a product of a variable and a constant

Identify all of the constants in the expression below. Choose all that apply.

3x + 4y + 9m - 12 + 8x + 11

• 3x

• 3

• 4

• -12

• 12

Identify the coefficients in the expression below. Choose all that apply.

-9w + 4x - 7y + 13z - 11

• -9

• 4

• -7

• 13

• -11

Identify the like terms in the expression below. Choose all that apply.

6x - 9x - 11y + 14y

• 6x and -9x

• 6x and 9x

• 11y and 14y

• -11y and 14y

In the last expression, you should have chosen 6x and -9x, and -11y and 14y. Combine the like terms, and give a simplified expression.

6x - 9x - 11y + 14y

• 15x + 25y

• 3x + 3y

• -3x + 3y

• -3x + 25y

Fill in the blank: -25x - 75x simplifies to ____________.

The expression below has how many coefficients?

a - b + c - d + e - f + g - h

• 0

• 4

• 8