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

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

Question 2: Simplify the expression by combining like terms: 4a + 6 - 2a + 1.

Answer: 2a + 7

Question 3: What is the coefficient of the variable in the term 8y?

Answer: 8

Question 4: Identify the constant term in the expression: 3x - 4 + 5x + 10.

Answer: 10

Question 5: Construct an algebraic expression with two terms: one involving a variable and one constant. Write an example.

Answer: Example: 7b + 4

Question 6: In the expression 3x + 2, what is the term containing the variable? Identify its coefficient as well.

Answer: {"coefficient":"3","variableTerm":"3x"}

Question 7: A student writes the expression: 6 + y - y + 4. Identify any errors related to terms, variables, or constants.

Answer: The terms y and -y cancel out, so the simplified expression is 6 + 4 = 10. The original expression correctly includes terms, variables, and constants; the mistake is in unnecessary addition of y and -y.

Question 8: Evaluate the algebraic expression 2x - 3 for x = 4.

Answer: 5

Question 9: Plot the graph of y = 2x + 1 on the grid. Draw the line passing through points where x = 0 and x = 3.

Answer: Line passing through (0,1) and (3,7)

Question 10: Construct a triangle on the grid with sides labeled 3, 4, and 5, where each side is a straight line segment. Label the sides appropriately.

Answer: A right triangle with sides 3, 4, 5, with each side drawn as a straight segment and the lengths labeled accordingly.

Question 11: Given the expression 7x - 2, if the term 7x is mistakenly written as 7y, what is the error? Correct the expression.

Answer: Error: The term should involve x, not y. Corrected expression: 7x - 2.

Question 12: Identify the constant and variable terms in the expression: -x + 9.

Answer: {"constant":"9","variable":"-x"}

Question 13: Challenge: Write an algebraic expression with three terms, including at least one coefficient, one variable, and one constant, then simplify if possible.

Answer: Example: 3a + 5 - 2a = a + 5