Positive or Negative?
Can a negative number represent a temperature of 8°F below zero? Explain briefly.
Yes; below zero is represented by a negative number (−8°F)
Order from least to greatest: 4, −2, 0, −7.
−7, −2, 0, 4
What is |−9|?
9
What are the coordinates of the origin?
(0, 0)
A football team loses 6 yards. Which integer represents the change?
−6
A bank account has a $12 deposit. Is +12 or −12 the better representation?
+12; a deposit adds money.
Fill in <, >, or =: −3 ___ −8
−3 > −8
True or false: |7| = |−7|. Explain
True; both are 7 units from zero.
Point A(−3, 4): is it left or right of the y-axis, and above or below the x-axis?
Left of the y-axis and above the x-axis.
Mia owes $18 and Ben owes $11. Write each as an account balance. Whose debt is greater?
Mia: −$18; Ben: −$11. Mia’s debt is greater
A diver is 17 feet below sea level. Write an integer for the diver’s position.
−17
Order from least to greatest: −0.6, 1/2, −1/4, 0.2.
−0.6, −1/4, 0.2, 1/2
Which has the greater absolute value: −12 or 8?
−12; |−12| = 12 and |8| = 8.
Reflect point (5, −2) across the x-axis. What are the new coordinates?
(5, 2); change the sign of the y-coordinate.
Points R(−4, −6) and S(−4, 3) lie on the same vertical line. What is the distance between them?
9 units; the distance from −6 to 3 is 9.
For each situation, say positive, negative, or neither: (a) winning 6 points, (b) owing $9, (c) being exactly at sea level.
(a) positive, (b) negative, (c) 0 / neither positive nor negative.
Compare −5/6 and −2/3. Which is greater? Explain using their positions on a number line.
−2/3 is greater; it is farther right (closer to zero) than −5/6.
A point is 5 units from zero on a number line. Name both possible coordinates and explain.
−5 and 5; both are five units from zero.
Point P(−2, 1) is reflected across the y-axis, then across the x-axis. What are the final coordinates?
(2, −1). First change x to get (2, 1), then change y.
A(2, 0), B(2, −4), and C(−3, −4) are three corners of a rectangle. What are the coordinates of D?
D(−3, 0). It shares x = −3 with C and y = 0 with A