1i) a.
1g) (-4) + (+6) + (-|-3|) + [- (-5)] = (-4) + (+6) + (-3) + (+5) = +4
2i) c.
2g) 12 - (8 ÷ 4) x 2 -(-2 )(-1) = 12 - 4 - 2 = 6
3i) b.
3g) Leftover area = area of the cardboard (50 x 60) - total area of the box: [2 x (12 x 15 + 12 x 20 + 15 x 20)] = 3000 - 1440 = 1560; 1560 cm2
4i) c.
4g) (-1)3 (-2)2 (-1) = (-1)(+4) (-1) = +4
5i) a.
5g) b.
6i) b.
6g) a.
7i) a.
7g) Let the number of teachers be t. Then
, so t = 27.
8i) b.
8g) d.
9i) The ordered pairs of (0, -2), (1, 1), and (-1, -5) satisfy the equation and are the coordinates of points on the line. (There are many other possibilities.)

9g)
They intersect at (-1, 4).
10i) c.
10g) If the enrollment was p, then
So p = 55,000 students.
11i) ![]()
11g) ![]()
12i) a.
12g) c.
13i) d.
13g) P (yellow, then red or blue) = ![]()
14i) b.
14g) f(x) = -3x + 10
f(x2 + 2) = -3(x2 + 2) + 10
f(x2 + 2) = -3x2 - 6 + 10
f(x2 + 2) = -3x2 + 4
15i) c.
15g) The equations are r = 2w + 3 and r + w = 78.
| To solve for r: | w = 78 - r |
| r = 2(78 - r) + 3 | |
| r = 156 - 2r + 3 | |
| r = 159 - 2r | |
| 3r = 159 | |
| r = 53 |
| To solve for w: | 53 + w = 78 |
| w = 78 - 53 | |
| w = 25 | |
| 25 wrens, 53 robins |
16i) ![]()
16g) ![]()
17i) Let the length of one side be x. Then two
consecutive sides and the diagonal form a right triangle. Apply
the Pythagorean theorem to write x2 + x2
= 64. The solution is
The length of a side is ![]()
17g) Note that a right triangle forms. Use the Pythagorean theorem to find the required length: 12,000 ft.
18i) slope = -4/3; equation: y - 4 = -4/3(x + 3) or y = -4/3x
18g) 
19i) a.
19g) Let the needed time be t. So 12 5 = 6
t, and
t = 10; 10 hours.
20i)
(no real number solutions)
20g) x2 + (x - 14)2 = 262. The positive solution of the equation is x = 24. The lengths of the sides are 24 cm and 10 cm.