Here is a detailed breakdown of the questions from the worksheet and their answers:

1. Identify all of the TERMS in the expression:

Expression: $2x + 5 - y + 3$
Terms: $2x, 5, -y, 3$

• Terms are the individual parts separated by addition or subtraction signs.

2. Identify all of the VARIABLES in the expression:

Expression: $5m + 2 - k$
Variables: $m, k$

• Variables are letters representing unknown quantities.

3. Identify all of the COEFFICIENTS in the expression:

Expression: $3 + 5h - 2g + 7 + 2j$
Coefficients: $5, -2, 2$

• Coefficients are the numbers multiplying variables (e.g., $5$ in $5h$).

4. Identify all of the CONSTANTS in the expression:

Expression: $p + b + 5$
Constant: $5$

• A constant is a term without a variable.

5. Write an expression with 3 terms. One term should have a coefficient of 5, and one term is the constant 4.

Example Expression: $5x + 3y + 4$

• This expression satisfies the requirements:
  • $5x$: A term with coefficient $5$.
  • $4$: A constant term.
  • $3y$: A third term.

Would you like further clarification or more examples?

5 Follow-Up Questions:

1. What distinguishes a constant from a coefficient?
2. Can a term have both a variable and a constant? Why or why not?
3. How do you identify terms in a longer expression with parentheses or exponents?
4. Why are negative coefficients (e.g., $-2$) considered part of the coefficient list?
5. How can constants help simplify an equation?

Tip:

When breaking down expressions, always start by identifying separators (addition/subtraction signs) to distinguish terms easily!