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Final Final Exam Review Day

Total questions: 23

Worksheet time: 26mins

Name
Class
Date
1.

Simplify: (2xy2z3)(8x5yz2)

a)

10x6y3z5

b)

16x6y3z5

c)

10x5y2z5

d)

16x5y2z6

2.

Find the difference: (2x - 7y2) - (7y - 3x)

a)

-7y2 + 7y + 5x

b)

-7y2 - 7y + 5x

c)

-7y2 + 7y - 1x

d)

5xy3

3.

Find the sum: (5x + 3z - 3) + (4x + 13)

a)

9x2 + 3z + 10

b)

9x + 3z + 16

c)

9x + 3z + 10

d)

12xz + 10

4.

Evaluate. Put your answer in scientific notation: (1.3 x 106)(8.2 x 102)

a)

1.066 x 109

b)

10.66 x 108

c)

1.066 x 1012

d)

10.66 x 1012

5.

Simplify: -3ab(2a + 5b3 - 7)

a)

-1a2b+ 2ab4 - 10ab

b)

-6a2b - 15ab4 + 21ab

c)

6a2b + 15ab4 + 21ab

d)

-6a2b - 15ab4 - 21ab

6.

Find the product: (r - 7)(2r + 3)

a)

(r - 7)(2r + 3)

b)

2r2 + 3r - 14r - 21

c)

2r2 - 11r - 21

d)

2r2 - 21

7.

Find the product: (x + 8)2

a)

x2 + 64

b)

2x + 64

c)

x2 + 16x + 64

d)

x2 - 64

8.

Factor the GCF out of the following: 3xy - 15x2y3

a)

3xy(1 - 5xy2)

b)

3xy(1 - 5xy)

c)

3xy( 5xy2)

d)

3xy

9.

Factor by grouping: qr + 5q + 3r + 15

a)

(q + 3)(q + 3)

b)

(q + 3)(r + 5)

c)

(q - 3)(r - 5)

d)

Prime

10.

Factor the trinomial: x2 + 11x + 30

a)

Prime

b)

(x + 6)(x + 5)

c)

(x + 10)(x + 3)

d)

(x + 10)(x + 11)

11.

Solve using the ZPP: (x + 3)(3x - 6) = 0

a)

x = 3, -3

b)

x = -3, 2

c)

x = 3, 2

d)

x = 3

12.

Simplify: 3√9y2

a)

9√y

b)

9y

c)

9y2

d)

3y

13.

Simplify: (3√2)(5√3)

a)

8√5

b)

15√5

c)

15√6

d)

8√6

14.

Simplify: √20 + √45

a)

Simplified

b)

5√5

c)

4√5 + 9√5

d)

5√10

15.

What is the vertex for: f(x) = -2 (x -7)2 +7

a)

(7, 7)

b)

(-7, 7)

c)

(7, -7)

d)

(-2, 7)

16.

Put the following in vertex form by completing the square: y = x2 + 10x + 30

a)

y = (x + 10)2 + 5

b)

y = (x + 5)2 + 5

c)

y = (x + 5)2 - 5

d)

y = (x - 5)2 + 5

17.

Select ALL of the transformations that are true for: y = -2(x + 3)2

a)

Reflects over the x axis

b)

Stretch by 2

c)

Compressed by 2

d)

Shift right 3

e)

Shift left 3

18.

Solve the following equation: x2 = 45

a)

x = 22.5

b)

x = √45

c)

x =3√5

d)

x = ±3√5

19.

Which of the following represent an exponential function? Select ALL

a)

y = a(1 + r)r

b)

y = 330(1 - .25)3

c)

y = 2(3)x

d)

y = 3x2 + 7

20.

The following represents the ice cream sales and temperature for days in July. How many days are represented?

a)

100

b)

95

c)

13

d)

10

21.

The following represents the ice cream sales and temperature for days in July. What best represents the relationship between ice cream sales and temperature?

a)

Positive correlation

b)

Negative Correlation

c)

No Correlation

22.

The following histogram shows the heights of students in a particular class. About how many students are represented?

a)

39 students

b)

60 students

c)

2 students

d)

10 students

23.

The grades in a class were normally distributed with a mean of 70 and the standard deviation of 2. What two grades is 95% of the class between?

a)

70 and 2

b)

70 and 72

c)

68 and 72

d)

66 and 74