Download Exam 4 Warm Up

Math 46
Exam 4 Warm Up
1. Factor: x3 - 27
2. Factor: 4x2 - 20x + 25
3. Factor: 8x3 + 125y3
4. Factor:
5. Factor: 9x2 + 42xy + 49y2
6.
7. Solve: 16x2 + 46x = 15
8. Solve: 12x2 - 4x - 21 = 0
25x2 - 100y2
Solve: 16x2 = 25
9. Simplify:
9 x 2  25
6 x 2  19 x  15
10. Multiply:
x 2  25
x2  9
*
x 2  8 x  15 6 x  10
11. A number is 20 less than its square. Find all such numbers for which this is true.
You must write the algebraic equation and then solve the equation. No credit for
guessing.
8. The height of a triangular mainsail on a sailboat if 7 ft longer than the base of
the sail. If the hypotenuse of the sail is 13 ft., find the height
and base of the sail. You must write the algebraic equation
and solve the equation.
No credit for guessing.
9. Divide:
x 2  x  6 x 2  3x

20 x 3
15 x 4
11. Find the Domain:
9 x 2  25
x 2  8 x  12
13. Solve: 2x2 - 10x = 0
10. Divide:
x3 1
x2  x

x 2  4 x  3 6 x 2  18 x
12. Solve:
x 2  x  72
14. What is the supplement of 40 ?
15. State a pair of complementary angles.
16. From the drawing given,
a) Name a pair of corresponding angles:
b) Name a pair of vertical angles:
___________
___________
c) Name a pair of alternate exterior angles: ____________
d) Name a pair of alternate interior angles:
______________
17. If angle 7 in the above diagram is 35 , find the remaining angles.
18. Draw an acute isosceles triangle.
19. If 1  3x  14, 2  6 x  8, and
4 = 10x +10,
Solve for x and then use x to find all of the angles in the diagram.
1
2
3
4
20. Solve for x and then use x to find all of the angles in the diagram.
8x+36
9x-2
4x+16
7x+86
21. Draw a rhombus.
22. Draw an isosceles trapezoid.
23. Find the area and circumference of a circle of diameter 18 inches.
24. Find the area and perimeter of the trapezoid:
(the units are cm)
25. Find the area and perimeter:
26. Find the area and perimeter: