Explain. Integer: ____________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ b.What integer describes “a debit of $40” if zero represents the original balance? Explain. Integer: ____________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ c.What does zero represent in this situation? ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________

34.Understanding the meaning of the “opposite” - Write the integer that represents the statement. Locate and label each point on the number line below. Hint:Locate the number 0 in the middle of the number line. a.The opposite of a gain of 6 _________ b.The opposite of a deposit of $10 _______ c.The opposite of the opposite of 0 _______ d.The opposite of the opposite of 4 _______ e.The opposite of the opposite of a loss of 5 _______ 35.Choose a non-integer between 0 and 1. Label it point A and its opposite point B on the number line. Write values below the points. Do NOT choose ½

36. For each of the relationships described below, write an inequality that relates the rational numbers. Follow the example given. Example: Seven feet below sea level is farther below sea level than 4 ½ feet below sea level. 37. For the following, answer true or false. If false, explain why.

38.The fuel gauge in Nick’s car says that he has 26 miles to go until his tank is empty. He passed a fuel station 19 miles ago and a sign says there is a town only 8 miles ahead. If he takes a chance and drives ahead to the town and there isn’t a fuel station there, does he have enough fuel to go back to the last station? Explain. Ans. ___________________________ Draw a diagram along a number line, and use absolute value to find your answer. 39. Sarah and Jamal were learning partners in math class and were working independently. They each started at the point (-2,5) and moved 3 units vertically in the plane. Each student arrived at a different endpoint. How is this possible? Explain and list the two different endpoints. ------------------------------------------------------------------------------------------------------------------------------ ------------------------------------------------------------------------------------------------------------------------------ ------------------------------------------------------------------------------------------------------------------------------- -------------------------------------------------------------------------------------------------------------------------------

40.Two of the vertices of a rectangle are (1,-6) and (-8,-6). If the rectangle has a perimeter of 26 units, what are the coordinates of its other two vertices? Use the coordinate plane to solve this problem.