Question 1: Identify the terms, coefficients, variables, and constants in the expression: 7x + 3 - 2y + 5.

Answer: {"terms":["7x","3","-2y","5"],"constants":[0,3,0,5],"variables":["x",null,"y",null],"coefficients":[7,0,-2,0]}

Question 2: Write the expression 4a - 9 + 2b in terms of its terms, identifying coefficients and constants.

Answer: {"terms":["4a","-9","2b"],"constants":[0,-9,0],"variables":["a",null,"b"],"coefficients":[4,0,2]}

Question 3: Simplify the algebraic expression and identify the constant: 3x + 7 + 2x - 4.

Answer: {"constant":3,"expression":"5x + 3"}

Question 4: In the expression 6m - 4 + 3n, which are the terms, and what are their coefficients?

Answer: {"terms":["6m","3n"],"constants":[-4],"variables":["m","n"],"coefficients":[6,3]}

Question 5: A student writes the expression 5x + 2 + 3x - 7 as 8x - 5. Identify the mistake and correct it.

Answer: The student combined 5x and 3x correctly to get 8x, but incorrectly combined 2 and -7 to get -5. The correct simplified expression is 8x - 5, which is accurate. No correction needed.

Question 6: Construct an algebraic expression with a term involving x, a constant, and a coefficient of 9. Write your expression.

Answer: Possible answer: 9x + 4

Question 7: Plot the graph of y = 2x + 3 on the grid. (Draw the line based on this equation.)

Answer: Student draws a line passing through points like (0,3), (1,5), (-1,1).

Question 8: Construct a triangle on the grid with sides labeled as 4, 5, and 6 units. Indicate the sides and identify the terms involved in the algebraic expressions for each side if they are represented algebraically.

Answer: Constructs a triangle with sides of length 4, 5, 6. Algebraically, sides could be represented as expressions like 2x + 2, x + 3, and 3x, depending on the chosen variables.

Question 9: Explain the mistake in simplifying the expression: 3a + 2a + 4 - 4, and show the correct simplification.

Answer: Mistake: Student combined 3a + 2a to 5a but missed that constants 4 - 4 cancel out to 0. Correct simplified form: 5a.

Question 10: Identify the terms, coefficients, variables, and constants in the expression: -2x + 8 - 3x + 5.

Answer: {"terms":["-2x","-3x","8","5"],"constants":[0,0,8,5],"variables":["x","x",null,null],"coefficients":[-2,-3,0,0]}

Question 11: A student writes the expression 10t - 3 + 2t + 4 as 12t + 1. Is this correct? If not, correct the expression.

Answer: Incorrect. The correct simplified form is 12t + 1, which matches the student’s answer. So, yes, it is correct.