Download Name: ______ Date: Per:____ Factoring Polynomials QUIZ (21 pts

Name: ____________________________________ Date: ___________________ Per:____
Factoring Polynomials QUIZ (21 pts)
Factor the polynomial.
1. 4y3 – 20y
1. _______________________
2. 10m4 + 15m2
2. _______________________
3. t2 – 7t – 18
3. _______________________
4. x2 + 6x – 27
4. _______________________
5. 4s2 – 27s – 7
5. _______________________
6. 10y2 + 9y + 2
6. _______________________
7. 16x4 – y2
7. _______________________
8. 25s2 – 4t2
8. _______________________
9. m2 – 6mn + 9n2
9. _______________________
10. 4x2 + 24xy + 36y2
10. _______________________
11. x2 + 4xy – 3x – 12y
11. ______________________
12. t2 + 3st - 2t - 6s
12. ______________________
Factor & use the zero-product property to solve the equation.
13. 2x2 + 6x=0
13. _______________________
14. r2 + r - 20=0
14. _______________________
15. y2 – 6y = 16
15. _______________________
16. 3x2 = 5 - 14x
16. _______________________
17. 4m2 – 8m + 3=0
17. _______________________
18. z2 = 64
18. _______________________
19. 9n2 – 4 =0
19. _______________________
20. 9x2 + 30x + 25 = 0
20. _______________________
21. 4z2 + 1 = 4z
21. _______________________
Name: ____________________________________ Date: ___________________ Per:____
Solving Quadratic Equations QUIZ (30 pts)
Solve the quadratic equation by graphing.
1. x2 +16 =8x
2. x2 + 4x = -5
3. x2 = x + 12
Solve the equation using square roots.
4. t2 + 5 = 9
4. _______________________
5. m2 + 8=0
5. _______________________
6. y2 + 7 = 7
6. _______________________
Solve the quadratic equation by completing the square.
7. x2 – 8x = 20
7. _______________________
8. x2 + 12x = 13
8. _______________________
9. x2 – 14x = -24
9. _______________________
Use the quadratic formula to solve the equation. SHOW YOUR WORK!
Bonus: Can you find exact answers? (HINT use radicals)
10. 3x2 +1 = 5x
10. _______________________
11. 2x2 + 2x = 5
11. _______________________
12. x2 – 2x – 7 = 0
12. _______________________
Tell whether the quadratic equation has one, two, or no solution. How do you know?
13. 2x2 – 3x + 2 = 0
13. _______________________
14. 13x2 + x – 5 = 0
14. _______________________
15. 4x2 – 4x + 1= 0
15. _______________________
Name: ____________________________________ Date: ___________________ Per:____
Radical Functions QUIZ (27 pts)
Graph the function and identify its domain and range. Compare the graph with that of y =
1.y = 2
2. y = -3
3. y=
+4
4. y =
.
Simplify the radical expressions.
5.
= _____
10.
14.
16. (3
6.
= _____
= ________ 11.
-
= __________
- 3) (
+
7.
= _____
= ________
15.
12.
8.
= ______
= _________
-2
+6
= __________
)= _________ 17.
-
= ________
18. (2
13.
+
9.
(
) (5 + 2
= _____
- 3)= _________
)= _________
Solve the radical equations. Check for extraneous solutions.
19. (6
- 30)= 0
19. ___________________________
20. (2
20. ___________________________
21. (10
+ 15 = 35
- 5)=0
22. (
)= (
23. (
- 3)= 13
24. (
)= (
21. ___________________________
)
22. ___________________________
23. ___________________________
)
24. ___________________________
25. x =
25. ___________________________
26. x =
26. ___________________________
27. x =
27. ___________________________