MATH 114N Week 3 Test 1 Review Attempt 2 | Solutions

Question: If an object is projected upward with an initial velocity of 126 ft per sec, its height h after t seconds is h = -16­­­ˆ2+126t. Find the height of the object after 2 seconds.

2. Question: What polynomial can be factored as (a + 4)(a + 7)?

3. Question: If an object is projected upward with an initial velocity of 127 ft per sec, its height h after t seconds is h = -16t²+127t. Find the height of the object after 25 seconds.

4. Question: Factor the trinomial.

v² + 10vf + 16f²

5. Question: Complete the factoring.

3a² + 12a – 136 = 3(     )(    )           ­­­­­

3a² + 12a – 136 = 3 (a – 2)(a + 6)

6. Question: The middle term of the trinomial has been rewritten. Now factor by grouping.

6r² + 13rs + 6s² = 6r² + 4rs + 9rs + 6s²       ­­­­­

6r² + 4rs + 9rs + 6s²= (3r + 2s)(2r + 3s)

7. Question: Complete the factoring.

5y + 30 = 5(     )

8. Question: Factor completely.

81b² – 100t²       ­­­­­

9. Question: Factor completely.

c² + 49

10. Question: The area of a parallelogram is given by the formula A = bh. The area of parallelogram on the right is 52 sq. units. Find its base and height.

11. Question: Factor the trinomial by grouping.

16m² – 16m – 5     ­­­­­

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16m² – 16m – 5= (4m + 1)(4m – 5)

12. Question: Which of the following are differences of square.

x² – 9, y² + 36,  2a² – 25, 4z² – 16

13. Question: Which of the following are differences of square.

a² – 16, y² + 4, 8m² – 25, 9x² – 1

14. Question: The product of two consecutive positive integers is 29 more than their sum. Find the integers.

15. Question: Factor the special product.

16r² – 56r + 49

16. Question: Complete the factoring.

10s³ – 22s² + 4s = 2s(                                       _)

= 2s(        ) (         )

17. Question: Factor. Note that the middle term has already been split.

28a² – 24a + 21a – 18       ­­­­­

28a² – 24a + 21a – 18 = (7a – 6)(4a + 3)

18. Question: Rosa works due north of home. Her husband Ray works due east. They leave for work at the same time. By the time Rosa is 3 miles from home, the distance between them is one mile more than Ray’s distance from home. How far from home is Ray?

19. Question: Solve.

x² – 22x + 21 = 0

20. Quesution: Factor.

8s² + 4s

21. Question: Solve using the zero factor property.

(3v + 7)(v + 6) = 0            ­­­­­

22. Question: Factor completely.

9x² – 12xy + 4y² ­­­­­

23. Question: Complete the factoring.

2x³ + 10x² + 8x

24. Question: Factor by grouping.

x³ + 7x² + 9x + 63 ­­­­­

25. Question: Factor the trinomial.

v² + 3v + 2

26. Question: Find the greatest common factor (GCF) of 24x and 21.