Free Printable Semester 1 Review

1.

Which of the following best describes this sequence?

\left\{2,\ -4,\ \ 8,\ -16,\ 32,\ ...\right\}

a)

Arithmetic

b)

Geometric

c)

Neither

d)

Both

2.

Which of the following best describes this sequence?

\left\{32,\ 20,\ 8,\ -4,\ ...\right\}

a)

Arithmetic

b)

Geometric

c)

Neither

d)

Both

3.

Which explicit formula describes the sequence?

$-1,\ 3,\ 7,\ 11,\ ...$

a)

$a_n=\left(-1\right)+4\left(n-1\right)$

b)

$a_n=\left(-4\right)\left(-1\right)^{\left(n-1\right)}$

c)

$a_n=-1+\left(n-1\right)\left(-4\right)$

d)

$a_n=\left(-1\right)\left(-4\right)^{\left(n-1\right)}$

4.

What is the formula for the nth term of the sequence 3, -6, 12, -24, 48, ...?

a)

$a_n=-2\left(3\right)^n$

b)

$a_n=3\left(-2\right)^n$

c)

$a_n=-2\left(3\right)^{\left(n-1\right)}$

d)

$a_n=3\left(-2\right)^{\left(n-1\right)}$

5.

a)

1

b)

43

c)

8

d)

55

6.

$\frac{x-5}{x+14}$ What is the domain?

a)

All Real #s

b)

All Real #s except 14

c)

All Real #s except 5

d)

All Real #s except -14

e)

All Real #s except -5

7.

What is the degree of the function graphed here?

a)

6

b)

4

c)

3

d)

5

8.

What is the leading coefficient in the polynomial 3x²-2x+5?

a)

3

b)

2

c)

5

d)

0

9.

Which of the following best describes this sequence?

\left\{5,\ 8,\ 11,\ 14,\ ...\right\}

a)

An arithmetic sequence with a common ratio of 3.

b)

A geometric sequence with a common difference of 3.

c)

An arithmetic sequence with a common difference of 3.

d)

A geometric sequence with a common ratio of 3.

10.

Which of the following best describes this sequence?

\left\{135,\ 45,\ 15,\ 5,\ ...\right\}

a)

An arithmetic sequence with a common ratio of $\frac{1}{3}$

b)

A geometric sequence with a common difference of 3.

c)

An arithmetic sequence with a common difference of 3.

d)

A geometric sequence with a common ratio of $\frac{1}{3}$

11.

Dividing by 12 is the same as ...

a)

× 12

b)

÷ 1/12

c)

× 1/12

d)

+ 12

12.

The terms of an arithmetic sequence are 56, 49, and 42. Which function represents the sequence?

a)

a_n = 56 - 7(n-1)

b)

a_n = 42 + 7(n-1)

c)

a_n = 77 - 7(n-1)

d)

a_n = 42(7)^n-1

13.

Given the arithmetic sequence: 22, 17, 12, 7, . . . . What is the recursive formula that models the sequence?

a)

f (1) = 7

f (n) = f (n − 1) − 5

b)

f (1) = 22

f (n) = f (n − 1) − 5

c)

f (1) = 7

f (n) = f (n − 1) + 5

d)

f (1) = 22

f (n) = f (n − 1) + 5

14.

In a geometric sequence, a₁ = 18, a₂ = 6, and a₃ = 2. What is the explicit formula for this sequence?

a)

a_n = 2(3)^n-1

b)

a_n = 18(3)^n-1

c)

a_n = 18(1/3)^n-1

d)

a_n = 486(1/3)^n-1

15.

What is the 12th term of the following sequence?

$\left\{3,-6,\ 12,\ -24,\ 48,\ ...\right\}$

a)

$6,411$

b)

$-6,144$

c)

$354,294$

d)

$-354,294$

16.

What is the 16th term of the following sequence?

\left\{10,\ 12,\ 14,\ 16,\ 18,\ ...\right\}

a)

36

b)

38

c)

40

d)

42

17.

a)

46

b)

26

c)

-4

d)

16

18.

a)

-3

b)

3

c)

-9

d)

9

19.

a)

83

b)

11

c)

79

d)

51

20.

To be a Rational Function you must

a)

Have an asymptote.

b)

Have a intercept.

c)

Divide 2 polynomials.

d)

Touch the x or y axis.

21.

Select all that have that have a horizontal asymptote of 3

a)

$\frac{3x+1}{x-5}$

b)

$\frac{6x^2-2x+5}{2x^2}$

c)

$\frac{3x}{2}$

d)

$\frac{3x-5}{x^2-5}$

22.

The school art club at a large high school is in charge of designing school T-shirts and getting them printed this year. A local business charges $35 to set up their T-shirt printing machine with the design and $4.25 in materials per T-shirt to print. Create an equation to represent the average cost $C\left(x\right)$ , in dollars, per T-shirt if $x$ T-shirts are printed by this business.

a)

$C\left(x\right)=35\ +4.25x$

b)

$C(x)=4.25+35x$

c)

$C(x)=\frac{35+4.25x}{x}$

d)

$C(x)=\frac{4.25+35x}{x}$

23.

$\frac{x+2}{x+8}=\frac{1}{x+2}$ Select all solutions for this equation.

a)

-2

b)

4

c)

1

d)

-4

e)

2

24.

Given the function $f(x)=\frac{2x+1}{x^2-9}$ , which value must be excluded from the domain?

a)

x = 0

b)

x = -9

c)

x = 9

d)

x = 3

e)

x = -1

25.

Find the vertical and horizontal asymptotes of the function $f(x)=\frac{3x+2}{x-7}$ .

a)

Vertical: x = 0; Horizontal: y = 2

b)

Vertical: x = 7; Horizontal: y = 0

c)

Vertical: x = 2; Horizontal: y = 3

d)

Vertical: x = -7; Horizontal: y = 2

e)

Vertical: x = 7; Horizontal: y = 3

26.

A bakery charges a $40 setup fee and $2.50 per cookie for custom orders. Which equation best represents the average cost $A(x)$ per cookie if $x$ cookies are ordered?

a)

$A(x)=\frac{40+2.5x}{x}$

b)

$A(x)=\frac{2.5+40x}{x}$

c)

$A(x)=2.5+40x$

d)

$A(x)=40+2.5x$

27.

Describe the end behavior of
f(x) = -5x⁴ - 2x² + 8

a)

Both Sides do the same thing.

b)

Side do the opposite.

28.

What degree is the function?

a)

1

b)

2

c)

4

d)

10

29.

Which of the following is a 5th degree polynomial with a leading coefficient of -2?

a)

-2x⁵ + 3x - 1

b)

5x^-2 +3x - 1

c)

2x + 5

30.

What is the leading coefficient in the polynomial x²-2x+5?

a)

1

b)

2

c)

5

d)

0

31.

What is the leading coefficient?
f(x)=5x²+3x³-2x+1

a)

5

b)

3

c)

-2

d)

1

32.

Classify by the DEGREE:
2x² - 5

a)

Degree of 1

b)

Degree of 2

c)

Degree of 3

d)

Degree of 4

33.

What is the domain of the function $g(x)=\frac{4x-5}{x^2-16}$ ?

a)

All Real #s except -16

b)

All Real #s except 4

c)

All Real #s except 16

d)

All Real #s except 4 and -4

e)

All Real #s except 5

34.

What is the leading coefficient in the polynomial 7x³ - x² + 4x - 9?

a)

7

b)

-1

c)

4

d)

-9

35.

Find the vertical and horizontal asymptotes of the function $h(x)=\frac{5x-1}{x+2}$ .

a)

Vertical: x = -2; Horizontal: y = 5

b)

Vertical: x = 2; Horizontal: y = 0

c)

Vertical: x = -2; Horizontal: y = 0

d)

Vertical: x = 1; Horizontal: y = 5

e)

Vertical: x = -1; Horizontal: y = 2

Semester 1 Review

Total questions: 35

Worksheet time: 42mins

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