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

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

Question 2: Write the algebraic term that has a coefficient of 4 and a variable.

Answer: 4y

Question 3: Simplify the expression: 3a + 2a - a.

Answer: 4a

Question 4: In the expression 7x - 4 + 2x, what is the constant term?

Answer: -4

Question 5: Plot the graph of y = 2x. Use the grid to draw the line passing through the points where x = -2, 0, and 2.

Answer: Line passing through (-2, -4), (0, 0), (2, 4).

Question 6: Construct an algebraic expression with a constant of 5 and a variable with a coefficient of -3.

Answer: -3z + 5

Question 7: Identify the term, coefficient, variable, and constant in the expression: 8x - 6 + 4x.

Answer: {"terms":["8x","-6","4x"],"constants":[-6],"variables":["x","x"],"coefficients":[8,4]}

Question 8: Find the coefficient of the variable y in the expression: -3y + 2x - 5.

Answer: -3

Question 9: In the expression 10 + 4m - 3, identify the constant term.

Answer: 7

Question 10: Explain why 6x + 2 is considered an algebraic term and identify its coefficient.

Answer: It is an algebraic term because it includes a variable x. Its coefficient is 6.

Question 11: Identify the error in this statement: 'The term 3 is a variable because it changes with x.'

Answer: The constant 3 is not a variable because it does not change with x.

Question 12: Determine the terms, coefficients, variables, and constants in the expression: 9z - 4 + 2z + 7.

Answer: {"terms":["9z","-4","2z","7"],"constants":[-4,7],"variables":["z","z"],"coefficients":[9,2]}