Question 1: Convert 0.75 to a percentage by moving the decimal point. Show your working.

Answer: 75%

Question 2: What is the decimal equivalent of 45%? Show your working.

Answer: 0.45

Question 3: A student mistakenly moves the decimal point two places to the right when converting 0.8 to a percentage, resulting in 80%. Is this correct? Explain why or why not.

Answer: No, moving the decimal point two places right converts 0.8 to 80, which is correct in this case. But if the decimal had been 0.08, moving two places right would give 8%, which is incorrect for 0.08. The key is to understand where the decimal should be moved.

Question 4: Identify the mistake in the following conversion: 0.35 is written as 350%. Correct it.

Answer: The decimal 0.35 should be moved two places to make 35%, not 350%. The correct conversion is 35%.

Question 5: Express 120% as a decimal using the Moving Point rule. Show your steps.

Answer: 120% = 1.20 in decimal form, obtained by moving the decimal point two places left from 120%.

Question 6: Plot the graph of y = 2x on the provided grid for x-values from -3 to 3.

Answer: Students draw the line passing through points (-3, -6), (-2, -4), (-1, -2), (0,0), (1,2), (2,4), (3,6).

Question 7: Construct a triangle with vertices at (1,1), (4,1), and (2,4). Use the grid to draw and label the triangle.

Answer: Students draw the triangle connecting these points accurately on the grid.

Question 8: A calculator displays 0.123456. Convert this to a percentage with correct moving of the decimal point.

Answer: 12.3456% (rounded to two decimal places, 12.35%)

Question 9: Common misconception: Some students think 0.5 equals 5%. Correct this misconception and explain.

Answer: 0.5 equals 50%, not 5%. The mistake is moving the decimal point two places to the right, which is correct for conversion, but the student misreads the percentage notation.

Question 10: Given 225%, convert to decimal form correctly, showing your steps.

Answer: 225% = 2.25 in decimal, by moving the decimal two places left from 225%.

Question 11: Identify and correct the error in this conversion: 0.02 was written as 2%.

Answer: The correct conversion of 0.02 is 2%, which is correct. The error is in the statement; actually, 0.02 is 2%, so this is correct. If asked to identify an error, clarify that moving decimal two places right from 0.02 gives 2%, which is correct.