The image shows an algebraic expression:
2x + 3y - 7
It highlights the
coefficients in the expression, which are the numerical parts of the terms that are multiplied by variables.
Let’s break it down:
1. Understanding Coefficients
A
coefficient is the number that multiplies a variable in an algebraic term.
- In
2x, the coefficient is
2 (because 2 × x).
- In
3y, the coefficient is
3 (because 3 × y).
- The term
-7 has no variable, so it's called a
constant term and does
not have a coefficient in the same sense. Its coefficient would be considered
0 if we were thinking about a variable (like x or y), but since it's standalone, it's just a constant.
2. Identifying the Parts of the Expression
-
2x: Term with variable x; coefficient = 2
-
3y: Term with variable y; coefficient = 3
-
-7: Constant term; no variable
3. Summary
- The coefficients in the expression
2x + 3y - 7 are:
-
2 (for x)
-
3 (for y)
- The
-7 is a constant, not a coefficient of a variable.
✔ So, the
coefficients shown in red are correctly identified as
2 and
3.
---
Final Answer:
The
coefficients in the expression
2x + 3y - 7 are
2 and
3.
The term
-7 is a constant and does not have a variable, so it is not a coefficient.
Parent Tip: Review the logic above to help your child master the concept of algebraic expressions.
