Question

Which statement is true about the parts of this expression?

7.5y - z/9 + 50 +2y
A) The constant is 7.5.
B) The coefficients are 7.5 and -9.
C) The variables are x and y.
D) The like terms are 7.5y and 2y.

Answer 1

In the expression 7.5y - z/9 + 50 + 2y, the constant is 50, the coefficients are 7.5 and -1/9 for the variables y and z respectively, and the like terms are 7.5y and 2y. The correct option is D.

Step-by-step explanation:

When evaluating the expression 7.5y - z/9 + 50 + 2y, we need to identify the constant, coefficients, variables, and like terms:

• The constant in the expression is 50, because it is the term that does not contain any variables and remains unchanged.
• The coefficients are the numerical factors that multiply the variables. In this expression, the coefficients are 7.5 for the term 7.5y, and -1/9 (because the z term is expressed as -z/9).
• The variables in the expression are y and z. The term x is not present in this expression.
• The like terms are terms that contain the same variables raised to the same power. In this expression, 7.5y and 2y are like terms because they both contain the variable y to the first power.

Therefore, the correct statement about the parts of this expression is D) The like terms are 7.5y and 2y. The correct option is D.