Question 1: Identify the term, coefficient, variable, and constant in the expression: 5x + 12.

Answer: {"term":"5x","constant":12,"variable":"x","coefficient":5}

Question 2: In the expression 3a - 7, what is the coefficient and constant?

Answer: {"constant":-7,"coefficient":3}

Question 3: Simplify the algebraic expression: 4y + 3 - y + 2.

Answer: 3y + 5

Question 4: A business earns $2000 plus $50 for each product sold. Write an expression for total earnings, identifying the term, coefficient, variable, and constant.

Answer: {"term":"50x","constant":2000,"variable":"x","expression":"50x + 2000","coefficient":50}

Question 5: Construct an algebraic expression for a savings plan where a person saves $30 plus $5 per day. Identify the parts.

Answer: 5d + 30

Question 6: A loan has a fixed fee of $500 plus $25 per month. Write the expression and identify each part.

Answer: {"term":"25m","constant":500,"variable":"m","expression":"25m + 500","coefficient":25}

Question 7: In the expression 8z - 15, identify the term, coefficient, variable, and constant.

Answer: {"term":"8z","constant":-15,"variable":"z","coefficient":8}

Question 8: Calculate the total revenue from selling x items at $45 each, expressed algebraically.

Answer: 45x

Question 9: A company’s profit P can be modeled as P = 100x - 5000, where x is the number of units sold. What is the constant term, and what does it represent?

Answer: {"meaning":"Initial fixed cost or loss","constant":-5000}

Question 10: Identify the error in the expression: 7y + 3x = 10, if it is intended to be a simple algebraic expression with terms involving y and x.

Answer: The expression is an equation, not an algebraic expression; also, it mixes terms without an equal sign if intended as an expression.

Question 11: Challenge: Write an expression for the total cost C of buying x items when each item costs $12, and there is an additional fixed fee of $40.

Answer: 12x + 40