Quiz about Algebra 2 Semester 1 Final Review

Question 1

Factor by grouping
x³ - 4x² -4x + 16

Accepted Answer

(x-4)(x² -4)

Answer

(x+4)(x+2)

Answer

(x+4)(x² -4)

Answer

(x-4)(x-2)

Question 2

Factor: 8x³ - 1

Accepted Answer

(2x - 1)(4x² + 2x + 1)

Answer

(2x + 1)(4x² - 2x + 1)

Answer

(2x - 1)(4x² - 2x - 1)

Answer

(2x + 1)(4x² +2x + 1)

Question 3

Factor: 27x³ + 8

Accepted Answer

(3x + 2)(9x² - 6x + 4)

Answer

(9x + 2)(3x² + 18x + 4)

Answer

(3x²+4)(9x + 2)

Answer

(27x + 8)(x² - 216x + 64)

Question 4

Which ones are polynomials? (You may select more than one.)

Accepted Answer

Option A is correct

Accepted Answer

Option C is correct

Accepted Answer

Option D is correct

Answer

B.

Question 5

Question 5.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 6

Which function is graphed?

Accepted Answer

f(x) = |¹/₂x + 2| - 3

Answer

f(x) = 2|x + 2| - 3

Answer

f(x) = |¹/₂x + 3| - 2

Answer

f(x) = 4|¹/₂x + 3| - 2

Question 7

Which function is graphed?

Accepted Answer

f(x) = -3|-x + 1| + 4

Answer

f(x) = -|x - 1| + 4

Answer

f(x) = -5|x + 1| + 4

Answer

f(x) = -3|x - 4| + 1

Question 8

Which function is graphed?

Accepted Answer

f(x) = |x - 5|

Answer

f(x) = 2|x - 5|

Answer

f(x) = |x - 5| + 5

Answer

f(x) = |x| + 5

Question 9

Describe the transformation of the graph y = -2(x + 5)³

Accepted Answer

Stretch by 2, Reflected over x-axis, Left 5

Answer

Shrink by 2, Reflected over y-axis, Right 5

Answer

Stretch by 2, Reflected over x-axis, Right 5

Answer

Shrink by 2, reflected over y-axis, Left 5

Question 10

4m2 + 49

Accepted Answer

Can't factor using Diff. of Squares

Answer

(2m + 7) (2m - 7)

Answer

(2m - 7) (2m - 7)

Answer

(m + 7) (m - 7)

Question 11

4a2 - 25

Accepted Answer

(2a + 5) (2a - 5)

Answer

(2a - 5) (2a - 5)

Answer

(x + 5) (x - 5)

Answer

Can't factor using Diff. of Squares

Question 12

4x²- 64y²

Accepted Answer

( 2x - 8y) (2 x + 8y)

Answer

Unfactorable

Answer

( 2x - 32y) (2 x + 32y)

Answer

( 2x - 8y) (2 x - 8y)

Question 13

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

Accepted Answer

19

Answer

23

Answer

-10

Answer

None of these.

Question 14

p(x) = 3x + 4
q(x) = 2x²
Find q(p(-2))

Accepted Answer

8

Answer

-8

Answer

28

Answer

None of these.

Question 15

Are these functions inverses?

Accepted Answer

No

Answer

Yes

Answer

No way to tell

Question 16

Are the blue and red graphs inverse functions?

Accepted Answer

yes

Answer

no

Answer

no way to tell

Question 17

The inverse has been reflected over which line?

Accepted Answer

y = x

Answer

x = 0

Answer

y = 0

Answer

x = -y

Question 18

What is the best description?

Accepted Answer

They are inverse functions.

Answer

They are both functions, but not inverse functions.

Answer

They are reflected over y=x, but they are not both functions.

Answer

They are not reflected over y=x, and they are not both functions.

Question 19

Factor
4b⁵+4b³+16b²

Accepted Answer

4b²(b³+b+4)

Answer

4b³(b⁴+b²+4b)

Answer

4b³(b⁴+4b+5)

Answer

4(b⁵+b³+4b²)

Question 20

Find the inverse
f(x)=2x-2

Accepted Answer

f^-1(x)=1/2x+1

Answer

f^-1(x)=-2-1/2x

Answer

f^-1(x)=-7/3x-20/3

Answer

2-2/5x

Question 21

Simplify.

Accepted Answer

5i

Answer

-5i

Answer

5

Answer

-5

Question 22

Simplify:

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 23

g(4x)

Accepted Answer

192x3

Answer

1728x3

Answer

12x3

Answer

36x3

Question 24

f(x-2)

Accepted Answer

2x² - 13x + 18

Answer

2x² - 5x + 18

Answer

2x² - 8x + 3

Answer

2x² - 13x + 2

Question 25

(f + g) (x)

Accepted Answer

5x2 + 3x

Answer

4x2 + 3x

Answer

5x2 - 3x

Answer

4x2 - 40x

Question 26

Given g(x) = -2x+2 and f(x) = 3x²+4, find (g+f)(-3).

Accepted Answer

39

Answer

-27

Answer

-23

Answer

-19

Question 27

Question 27.

Accepted Answer

3b6

Answer

6b6

Answer

3b3

Answer

6b3

Question 28

Simplify.

Accepted Answer

x7

Answer

1/x3

Answer

x3

Answer

1/x7

Question 29

Simplify.

Accepted Answer

y15

Answer

y5

Answer

y2

Answer

2y5

Question 30

Simplify

Accepted Answer

7b3 /a5

Answer

7a5/b3

Answer

b3/7a5

Answer

7b³/a^-⁵

Question 31

Simplify

Accepted Answer

4/a3b2

Answer

a3b2/4

Answer

4a3/b2

Answer

1/4a3b2

Question 32

Simplify:
(x - 7)²

Accepted Answer

x²- 14x + 49

Answer

x2 - 49

Answer

x2 + 49

Answer

x²- 14x - 49

Question 33

Find the fourth term of the expansion (5+3y)⁵.

Accepted Answer

6750y3

Answer

2025y4

Answer

750y3

Answer

75y4

Question 34

Expand the expression.
(2x+5)⁴

Accepted Answer

16x⁴+ 160x³ +600x² +1000x + 625

Answer

2x⁴ + 40x³+ 300x² + 1000x +625

Answer

16x⁴ + 1000x³ + 600x²+ 160x +625

Question 35

Is (x-2) a factor of f(x)= x³-8x²+14x-4?

Accepted Answer

Yes, (x-2) is a factor. The remainder is zero.

Answer

Yes, (x-2) is a factor. There is a remainder.

Answer

No, (x-2) is  not a factor. The remainder is zero.

Answer

No, (x-2) is  not a factor. There is a remainder.

Question 36

Find the remainder
(2x³ - 5x - 7) / (x + 2)

Accepted Answer

-1

Answer

-9

Answer

11

Answer

-13

Question 37

(4x⁴- 3x³- 4x²- x + 3)/(4x - 3)

Accepted Answer

x3 - x - 1

Answer

x³+ x²+ x - 1

Answer

x³- 2x - 1

Answer

x³- x²+ x - 3

Question 38

Factor completely:
x³ + 3x² - 4x - 12

Accepted Answer

(x + 3) (x + 2)(x - 2)

Answer

(x + 3)(x² - 4)

Answer

(x² + 4) (x - 3)

Answer

(x² + 3)(x - 4)

Question 39

What is the remainder when a³ - 4 is divided by a+2?

Accepted Answer

-12

Answer

-2

Answer

-6

Answer

0

Algebra 2 Semester 1 Final Review

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