Free Printable Spring Final Review 2021

1.

GCF of 10 and 75

a)

5

b)

10

c)

2

d)

25

2.

GCF of 2x and 8x

a)

2

b)

2x

c)

x

d)

8

3.

GCF of 35f and 40f

a)

5f

b)

10

c)

f

d)

2f

4.

Factor
18a²b⁴c + 24ab³c²

a)

6ab³c(3ab + 4c)

b)

3abc(6ab³+ 8b²c)

c)

6abc(3ab³ + 4c)

d)

6ab3c(3b + 4c)

5.

Factor
49m³q² - 35mq² - 42m³q⁴p²

a)

7mq²(7m²q - 5 - 6m²p²q²)

b)

7mq²(7m³q - 5mq - 6m²p²q³)

c)

7mq²(7m² - 5 - 6m²p²q²)

d)

7mq²(7mq - 5 - 6m²pq²)

6.

Factor
x²+ 9x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

7.

Factor
3a² + 4a + 1

a)

(7a-10)(a-8)

b)

Not factorable

c)

(3a+1)(a+1)

d)

(3a-1)(a-1)

8.

Factor completely.
5x² - 13x + 6

a)

(x - 3)(5x - 2)

b)

(5x - 3)(x - 2)

c)

5(x - 3)(x + 2)

d)

Not factorable

9.

Factor
3v² - 4v - 7

a)

(3v-7)(v+1)

b)

3(v-7)(v-1)

c)

(3v+1)(v-9)

d)

(3v+1)(v-10)

10.

Simplify: 2r + 2 + 5r - 2 + r

a)

8r

b)

8r - 4

c)

12r

d)

7r + 4 + r

11.

Like terms have the same _____ and the same _____.

a)

variables and numbers

b)

signs and numbers

c)

variables and exponents

d)

variables and signs

12.

A coefficient is __________.

a)

the variable

b)

a constant

c)

an exponent

d)

the number that comes before the variable

13.

Simplify by combining like terms:
4x² - 3x + 11 -2x

a)

4x² - 5x + 11

b)

11x + 11

c)

16x² - 5x + 11

d)

10x²

14.

Rewrite the expression by combining like terms. 4x² – 2x² + 2y + 7y² – y + x²

a)

3x² + 3xy + 6y

b)

6y² + 2xy + 2x

c)

7x² + 35x

d)

3x² + 7y² + y

15.

Simplify the expression:

6 + 2(7x + 3)

a)

12 + 7x

b)

14x+12

c)

14x + 3

d)

9 + 7x

16.

4(r+6)-10+2r

a)

6r-4

b)

6r+4

c)

6r+14

d)

6r-14

17.

Which expression is an equivalent expression for 14x+10-x-7+2x?

a)

15x+3

b)

28x

c)

15x-3

d)

15y+3

18.

What is the range of the following graph?

a)

R: {-5, -1, 0 , 1, 5}

b)

R: {-4, -2, 0, 3, 6}

c)

R: (-4, 1) ( 6, 0)

d)

R: (6, 0)

19.

What is the range of the function?

a)

[1, 5]

b)

(5, 4]

c)

[1, 4]

d)

(1, 5)

20.

What is the range of this function?
Hint: Graph counts by 2's.

a)

[-5, 5]

b)

(1.5, 4)

c)

[3, 8]

d)

(-6, 6]

21.

What is the range of the relation?

a)

(-∞, ∞)

b)

(-2, 2)

c)

(-3, 3)

d)

[-4, 5)

22.

What is the domain of the relation?

a)

(-∞, ∞)

b)

(-4, 5]

c)

(-3, 3)

d)

[-4, 5)

23.

What is the domain of the graph?

a)

[-7, 5)

b)

(-7, 5]

c)

[-3, 1)

d)

(-3, 1]

24.

Is the pictured graph growth, decay, or linear or none?

a)

Growth

b)

Decay

c)

Linear

d)

None

25.

What is the y-intercept of the function?

a)

2

b)

3

c)

1

d)

-2

26.

Is the following function and example of decay or growth?

f(x)=2(0.85)^x

a)

Exponential Decay

b)

Exponential Growth

c)

Neither

27.

Is the following function an example of decay or growth?

f(x) = 2(1.25)^x

a)

Exponential Growth

b)

Exponential Decay

c)

Neither

28.

What type of function is f(x)=2(1/7)^x ?

a)

Exponential Growth

b)

Linear

c)

Exponential Decay

d)

None of the Abovee

29.

Steve deposited

$5,000 in a savings account that pays 4% interest compounded annually. Which

equation could be used to find the value of the account after 3 years?

a)

A = 5,000(1 + 4)³

b)

A = 5,000(1 + 0.04)³

c)

A = 5,000(1 + 0.4) x 3

d)

A = 5,000(0.04)³

30.

Gary deposited $500 in an account that earns 3% interest compounded annually. How much interest will the account earn after 6 years?

a)

$90.00

b)

$100.00

c)

$97.03

d)

$109.20

31.

Jacob borrows $500 from Abraham and agrees to have the loan compounded annually for 5 years with an interest rate of 2.5%. How much will the total amount be that Jacob owes?

a)

$565.70

b)

$262609.38

c)

$65.70

d)

$630.20

32.

Rewrite in exponential form.

a)

A

b)

B

c)

C

d)

D

33.

Rewrite in exponential form.

a)

A

b)

B

c)

C

d)

D

34.

Rewrite the equation in logarithmic form.

a)

A

b)

B

c)

C

d)

D

35.

Rewrite the equation in logarithmic form.

a)

A

b)

B

c)

C

d)

D

36.

Expand the logarithm.

a)

A

b)

B

c)

C

d)

D

37.

Expand the logarithm.

a)

A

b)

B

c)

C

d)

D

38.

Condense into a single logarithm.

a)

A

b)

B

c)

C

d)

D

39.

Condense into a single logarithm.

a)

A

b)

B

c)

C

d)

D

40.

x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Unfactorable

41.

x²+ 81

a)

Unfactorable

b)

( x - 9 ) ( x + 9 )

c)

( x + 9 ) ( x + 9 )

d)

( x - 9 ) ( x - 9 )

42.

Factor the Polynomial:

121r² - 64t²

a)

(11r + 8t)(11r - 8t)

b)

(11r - 8t)(11r - 8t)

c)

(11r + 8t)(11r + 8t)

d)

Unfactorable

43.

Fully Factor the Following
25x²-81

a)

(5x-9)²

b)

(5x+9)(5x-9)

c)

25(x-9)²

d)

(9x+5)(9x-5)

44.

Factor the following: 7r³-8r²+42r-48

a)

(r²+6)(7r+8)

b)

(r²+6)(7r-8)

c)

(r²+6)(r²+8)

d)

(r²+6)(7r+6)

45.

Factor the following: x³-5x²+5x-25

a)

(x²-5)(x-5)

b)

(x²+5)(x-5)

c)

(x²+5)(x+5)

d)

(x²-1)(x-25)

46.

Simplify

a)

A.4x³/(x+2)

b)

B.4x³/(x+10)

c)

C.2x³/(5x+1)

d)

D. 2x³/(x+5)

47.

Multiply and Simplify

a)

4(x+3)/(x+2)

b)

(x+2)/(4(x+1))

c)

(x+2)/(4(x+3))

d)

4(x+1)/(x+2)

48.

Simplify.

a)

A

b)

B

c)

C

d)

D

49.

Divide and Simplify

a)

A

b)

B

c)

C

d)

D

50.

Give the name of the parent function of

y=x^2-1

a)

Linear

b)

Logarithmic

c)

Cubic

d)

Quadratic

51.

Give the name of the parent function of

y=4^x

a)

Exponential

b)

Logarithmic

c)

Absolute Value

d)

Sine

52.

Give the name of the parent function of

y=\frac{1}{x+6}

a)

Exponential

b)

Rational (or Reciprocal)

c)

Square Root

d)

Constant

53.

Give the name of the parent function of

y=2\left|x-5\right|

a)

Constant

b)

Logarithmic

c)

Absolute Value

d)

Rational (or Reciprocal)

54.

Identify the parent function of the graph.

a)

Quadratic

b)

Square Root

c)

Absolute Value

d)

Cubic

55.

Identify the parent function of the graph.

a)

Logarithmic

b)

Linear

c)

Absolute Value

d)

Cubic

56.

Identify the parent function of the graph.

a)

Quadratic

b)

Rational (or Reciprocal)

c)

Absolute Value

d)

Cubic

57.

Identify the parent function of the graph.

a)

Rational (or Reciprocal)

b)

Logarithmic

c)

Exponential

d)

Square Root

58.

Identify the parent function of the graph.

a)

Rational (or Reciprocal)

b)

Cubic

c)

Exponential

d)

Sine

59.

Identify the parent function of the graph.

a)

Rational (or Reciprocal)

b)

Logarithmic

c)

Exponential

d)

Square Root

60.

Identify the parent function of the graph.

a)

Linear

b)

Logarithmic

c)

Exponential

d)

Square Root

61.

Which of the following parent functions does not have a domain

\left(-\infty,\infty\right)

?

a)

b)

c)

d)

62.

Which of the following parent functions has a range of $\left(0,\infty\right)$

a)

b)

c)

d)

63.

Name the parent function.

a)

constant

b)

quadratic

c)

linear

d)

exponential

64.

Match the equation to its description.

a)

Right 2 and up 2

b)

Left 2 and up 2

c)

Right 2 and down 2

d)

Left 2 and down 2

65.

Name the parent function.

a)

cube root

b)

square root

c)

cubic

d)

squiggly

Spring Final Review 2021 - Algebra 2

Total questions: 65

Worksheet time: 3hrs 19mins

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