Free Printable Unit 5 Review

1.

What is the first step when factoring polynomials?

a)

Find the GCF

b)

List all the terms

c)

Make the X and fill in the top and bottom

d)

Multiply a and c

2.

When using the swing and divide method, what is the step that is forgotten if you are not carful?

a)

Multiply the coefficient of the x squared term by the number by itself in the back of the trinomial

b)

Divide both of the factored forms by the number you used to swing.

3.

All expressions Factor.

a)

true

b)

false

4.

If you cannot factor an equation it is called:

a)

Prime

b)

factorable

c)

solution

d)

Hippopotamus

5.

Factor Completely:
3x² + 18x +15

a)

3(x² + 6x + 5)

b)

(x + 5)(x + 1)

c)

3(x + 5)(x + 1)

d)

Prime

6.

Factor completely
2c² + 4c - 84

a)

(c-6)(2c+14)

b)

(c+7)(2x-12)

c)

(c-4)(2c+21)

d)

2(c+7)(c-6)

7.

Factor Completely:
3x⁵ - 27x³

a)

3(x³ - 3)(x²+ 3)

b)

prime

c)

3x³(x² - 9)

d)

3x³(x - 3)(x + 3)

8.

Factor completely
12x + 9

a)

3(4x + 3)

b)

x(12+9)

c)

3(4x - 3)

d)

not factorable

9.

Factor completely
6m² + 16m

a)

2(3m² + 8m)

b)

2m(3m + 8)

c)

2m(3m - 8m)

d)

not factorable

10.

Factor Completely:
2x² - 2x - 6

a)

2(x + 3)(x - 1)

b)

2(x + 2)(x - 3)

c)

2(x² - x - 3)

d)

2(x² - 2x - 6)

11.

Factor completely:
3x² + 18x +15

a)

3(x² + 6x + 5)

b)

(x + 5)(x + 1)

c)

3(x + 5)(x + 1)

d)

Prime

12.

Factor Completely:
x²+13x+40

a)

(x+5)(x+8)

b)

5x(x+3)

c)

3x(x+6)

d)

x(x-4)

13.

Factor Completely:
3x⁵ - 27x³

a)

3(x³ - 3)(x²+ 3)

b)

prime

c)

3x³(x² - 9)

d)

3x³(x - 3)(x + 3)

14.

x² - 9

a)

(x + 3)²

b)

(x + 3) (x - 3)

c)

(x - 3)²

d)

x + 3(x - 3)

15.

4x² - 25

a)

(2x + 5) (2x - 5)

b)

(2x - 5)²

c)

(2x + 5)²

d)

2x + 5(2x - 5)

16.

Factor 4y² – 9.

a)

(2y + 3)(2y – 3)

b)

prime

c)

(2y + 3)(2y + 3)

d)

(2y – 3)(2y – 3)

17.

√128

a)

64√2

b)

16

c)

2√8

d)

8√2

18.

√200

a)

14

b)

20√8

c)

5√3

d)

10√2

19.

a)

A

b)

B

c)

C

d)

D

20.

a)

A

b)

B

c)

C

d)

D

21.

a)

A

b)

B

c)

C

d)

D

22.

Simplify.

a)

-5i

b)

5

c)

5i

d)

-5

23.

Multiply:
(4 – 3i)(-7 – 2i)

a)

A. -23 + 13i

b)

B. -23 - 29i

c)

C. -34 + 13i

d)

D. -34 - 29i

24.

Simplify:
(10+ 15i)-(48 - 30i)

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

25.

Simplify
2i - 7i + 10

a)

10 - 5i

b)

5i

c)

10 + 9i

d)

10 + 5i

26.

Find the sum.
(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

27.

Multiply:
(2-5i)(2+5i)

a)

29

b)

4 - 25i

c)

25 - 10i

d)

-21

28.

Simplify

a)

± 4i √2

b)

± 4 √2

c)

± 2i √8

d)

± 2 √8

29.

Simplify

a)

± 2i √10

b)

± 2 √10

c)

± 4i √10

d)

± 4 √10

30.

Simplify:
2i(4 - 3i)

a)

6 + 8i

b)

6 - 8i

c)

8i - 6i²

d)

8i + 6i²

31.

Simplify √-81

a)

-√81

b)

-9i

c)

9i

d)

81i

32.

x² = 16

a)

± 4

b)

± 8

c)

4

d)

8

33.

3x² = 12

a)

± 2

b)

2

c)

± √12

d)

± 4

34.

x² + 4 = 68

a)

± 8

b)

± √8

c)

8

d)

± 64

35.

(x + 1) ² = 25

a)

± 5

b)

4 or -6

c)

-4 or 6

d)

± 4

36.

a)

A

b)

B

c)

C

d)

D

37.

$\left(x+5\right)^2=81$ Evaluate using square roots.

a)

x = 5, x = 9

b)

x = 4, x = -14

c)

x = $\pm2\sqrt{19}$

d)

x = $\pm$ 9

38.

$\left(x+5\right)^2-6=43$ Evaluate using square roots.

a)

$x=2,\ x=-12$

b)

$x=\pm7$

c)

$x=5\pm\sqrt{7}$

d)

$x=-5\pm49$

39.

What are the solutions?

a)

0 and 8

b)

-2 and -4

c)

3 and -1

d)

2 and 4

40.

-5x² = 50

a)

± 5i

b)

± 10i

c)

± i√10

d)

-10i

41.

2(x - 2) ² = -100

a)

2±5i

b)

1± 10i

c)

± 10i

d)

1± 5i

42.

a)

A

b)

B

c)

C

d)

D

43.

a)

A

b)

B

c)

C

d)

D

44.

a)

A

b)

B

c)

C

d)

D

45.

a)

A

b)

B

c)

C

d)

D

46.

How many solutions does the parabola show?

a)

0

b)

1

c)

2

47.

Solve the following quadratic equation (round your answer to 2 decimal places)....

x² + 3x + 1 = 0

a)

x = -0.38

x = -2.62

b)

x = -0.38

x = -3.58

c)

x = -0.58

x = -2.62

d)

x = -0.58

x = -3.58

48.

Solve the following quadratic equation (round your answer to 2 decimal places)....

x² + 7x + 3 = 0

a)

x = -0.46

x = -6.54

b)

x = -0.46

x = -2.54

c)

x = -0.06

x = -6.54

d)

x = -0.06

x = -2.54

49.

Solve the following quadratic equation (round your answer to 2 decimal places)....

x² - 9x + 2 = 0

a)

x = 8.77

x = 0.23

b)

x = 8.77

x = -0.23

c)

x = -8.77

x = 0.23

d)

x = -8.77

x = -0.23

50.

Identify the values of a, b and c in the following quadratic equation

2x² + 3x + 1 = 0

a)

a=2, b=3, c=1

b)

a=3, b=1, c=0

c)

a=1, b=2, c=3

51.

An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation

s(t) = –16t² + 64t + 80

What will be the object's maximum height?

a)

2 ft

b)

80 ft

c)

144 ft

d)

64 ft

52.

You jump off a 24 foot high cliff and your fall is modeled by the function:

h(t) = -16t² + 8t + 24

How long would it take you to hit the water?

a)

8 seconds

b)

1 second

c)

1.5 seconds

d)

1/4 second

53.

You jump off a 24 foot high cliff and your fall is modeled by the function:

h(t) = -16t² + 8t + 24

When would you reach 16 feet above the water?

a)

8 seconds

b)

1 second

c)

1/2 second

d)

1/4 second

54.

A diver is standing on a platform above the pool. He jumps form the platform with an initial upward velocity of 8 ft/s. Use the formula: h(t) = −16 t² + 8t + 24

How high is the platform?

a)

.25 ft

b)

24 ft

c)

25 ft

d)

8 ft

55.

Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation:

h = -16t² + 80

About how long did it take for the balloon to hit the ground?

a)

1.73 seconds

b)

2.24 seconds

c)

2.45 seconds

d)

2.83 seconds

56.