Free Printable Test 3 Mixed Review

1.

Let a represent a non-zero rational number and let b represent an irrational number.

Which expression could represent a rational number?

a)

-b

b)

a + b

c)

ab

d)

b^2

2.

Jamie has a plan to save money for a trip. Today, she puts 5 pennies in a jar. Tomorrow, she will put the initial amount in plus another 5 pennies. Each day she will put 5 pennies more than she put into the jar the day before, as shown in the table.

Let f(d) represent the amount of pennies she puts into the jar on day d. What does f(10) = 55 mean?

a)

Jamie will put 10 pennies in the jar on day 55.

b)

Jamie will put 55 pennies in the jar on day 10.

c)

Jamie will have 10 pennies in the jar on day 55.

d)

Jamie will have 55 pennies in the jar on day 10.

3.

A grocery store sells packages of beef. The function C(w) represents the cost, in dollars, of a package of beef weighing w pounds. The most appropriate domain for this function would be

a)

integers

b)

rational numbers

c)

positive integers

d)

positive rational numbers

4.

Which sequence is an arithmetic sequence?

a)

3, 6, 2, 7, ...

b)

3, 6, 12, 24, ...

c)

3, 6, 10, 15, ...

d)

3, 7, 11, 15, ...

5.

Which sequence is a geometric sequence with a common ratio of 2?

a)

5, 3, 1, -1, ...

b)

5, 7, 9, 11, ...

c)

5, 10, 20, 40, ...

d)

5, 15, 45, 135, ...

6.

The next term of the series 11,8,5,2 is...

a)

-1

b)

-2

c)

1

d)

2

7.

The first term in an arithmetic sequence is -8 and the common difference is 14. What is the 28th term given the equation a_n= a₁ + d (n - 1)

a)

378

b)

1024

c)

-324

d)

370

8.

The first term in a geometric sequence is 160 and the common ratio is 1/2. What is the 7th term given the equation a_n= a₁(r)^n-1

a)

5

b)

2.5

c)

10

d)

1.25

9.

Match the following

a)

arithmetic

1.

−29, −34, −39, −44, −49, ...

b)

geometric

2.

−4, 12, −36, 108, −324, ...

c)

neither

3.

1, 4, 9, 16, 25, ...

10.

Find the 15th term in the sequence:

2, 6, 18, 54, ...

a)

98

b)

62

c)

9,565,938

d)

28,697,814

11.

What is the common ratio of this geometric sequence?

500, 200, 80, 32, ...

a)

-5/2

b)

-2/5

c)

2/5

d)

5/2

12.

Write the equation that models the sequence.
2, 8, 14, ...

a)

a_n=2+6n

b)

a_n=-6+6n

c)

a_n=6n-4

d)

a_n=4-6n

13.

Calculate the average rate of change from [20,40]

a)

-2 minutes per gallon

b)

-20 minutes per gallon

c)

-2 gallons per minute

d)

-20 gallons per minute

14.

What is the average rate of change from [0,1]

a)

-3

b)

3

c)

0

d)

2

15.

What is the average rate of change of the function $f\left(x\right)\ =\ -x^2+\ 1\$ over the interval $-2\le x\le1$

(a)

16.

Whats is the average rate of change of the function $f\left(x\right)\ =\ 2x^2+\ 1\$ over the interval [0,1]

(a)

17.

Given the graph, find the average rate of change from over the interval $-1\le x\le2$

(a)

18.

Given the table, find the average rate of change from [3,6]

(a)

19.

If f(x) = 7, what is the value of x?

f(x) = 3x+1

a)

2

b)

$\frac{8}{3}$

c)

3

d)

22

20.

Evaluate f(-5) if f(x) = -2x - 12

a)

-22

b)

-2

c)

-19

d)

-5

21.

Evaluate f(-2) if f(x) = x² + 3

a)

-1

b)

1

c)

7

d)

-7

22.

For f(x)=3x+5, what is h(x)=f(4x)?

a)

h(x)=12x+5

b)

h(x)=12x+20

c)

h(x)=3x+20

d)

h(x)=4x+5

23.

What is another name for average rate of change?

a)

Slope

b)

Y-Intercept

c)

Derivative

d)

Zeros

24.

Janice is working as a babysitter for the Harold Family. They plan to leave for their date at 7:00 pm and be back by 12:00 am. If the equation f(x) = 15x + 20 models the amount that Janice will earn, where x is the number of hours she works, and f(x) is the total money she earns, what is an appropriate domain?

a)

any value between 0 and 5

b)

any value between 15 and 20

c)

any value between -1 and 1

d)

any value greater than 0

25.

Janice is working as a babysitter for the Harold Family. They plan to leave for their date at 7:00 pm and be back by 12:00 am. If the equation f(x) = 15x + 20 models the amount that Janice will earn, where x is the number of hours she works, and f(x) is the total money she earns, what is an appropriate range?

a)

any value between 0 and 20

b)

any value between 0 and 125

c)

any value between 0 and 95

d)

any value greater than 0

26.

The school is selling raffle tickets as a fundraiser. The profit from the tickets can be modeled by the equation P(x) = 3x - 35, where x is the number of tickets sold. Which best describes the possible domain?

a)

all real numbers greater than 0

b)

all whole numbers

c)

any rational number greater than 0

d)

all integers

27.

What is the Range?

a)

y ≥ 6

b)

y ≤ 6

c)

-10 ≤ y ≤ 6

d)

-10 ≤ x ≤ 6

28.

Find the Domain.

a)

All real numbers

b)

x > 3

c)

x > 0

d)

x ≥ 0

29.

What is the domain of this function?

a)

All Real Numbers

b)

f(x) ≥ -2

c)

f(x) ≥ 2

d)

x ≥ -2

30.

Identify where the function is decreasing.

a)

x < 0

b)

x > 0

c)

x < -3 , x > 3

d)

-3 < x < 3

31.

When is this function increasing?

a)

−2.5 < x < 2.5

b)

0 < x < 5

c)

0 < x < 55

d)

−5 < x < 0

32.

Identify where the function is positive.

a)

$x<-5\ \ ,\ \ \ x>0$

b)

$-5<x<0\ \ ,\ \ \ x>6$

c)

$x<-5\ \ ,\ 0<x<6$

d)

$x>-5\ \ ,\ \ \ x<6$

33.

Identify where the function is negative.

a)

$x<-3,\ \ \ x\ >3$

b)

$-3<x<3$

c)

All Real Numbers

34.

What is the increasing interval on the function shown?

a)

$\left(-\infty,\ 1\right)$

b)

$\left(-\infty,\ 2\right)$

c)

$\left(2,\ \infty\right)$

d)

$\left(1,\ \infty\right)$

35.

What is the situation of the linear graph?

a)

The beaker is being filled.

b)

The beaker is being emptied.

c)

The beaker is remaining the same amount

36.

Which equation represents this situation: Rocky's Canoe Rental charges a flat fee of $25 and $30 per hour?

a)

$y=25x+30$

b)

$y=30x+25$

c)

$y=55x$

d)

$y=30x-25$

37.

Graphing Linear Inequalities:

Consider the function y < 2x+3. Which is true?

a)

The line would be solid with shading above.

b)

The line would be dashed with shading above.

c)

The line would be solid with shading below.

d)

The line would be dashed with shading below.

38.

Which of the following is a solution to the systems of inequalities?

a)

(0, -2)

b)

(-3, 0)

c)

(-3, 2)

d)

(1, 1)

39.

A drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer than twice the number of songs that the drummer wrote. They wrote a total of 46 songs.

Which system of equations models this situation if the drummer wrote $d$ songs and the guitarist wrote $g$ songs?

a)

$g=2d-8$

$g+d=46$

b)

$g=8-2d$

$g=46-d$

c)

$d=2g-8$

$d=46-g$

d)

$d=8-2g$

$d+g=46$

40.

Write the system of inequalities
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing

a)

x + y ≤ 300
7.5x + 5.5y ≥ 2000

b)

x + y < 300
7.5x + 5.5y ≥ 2000

c)

x + y ≤ 300
7.5x + 5.5y ≤ 2000

d)

x + y > 2000
7.5x + 5.5y ≤ 300

41.

Luka and Dana are making cookies for the Westland Pantry. They only have up to 8 hours to bake! They can bake 25 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an hour (y). They need to make at least 150 cookies. Which one of these is a valid solution?

a)

4 hours baking chocolate chip cookies and 3 hours baking snickerdoodle cookies

b)

2 hours baking chocolate chip cookies and 4 hours baking snickerdoodle cookies

c)

6 hours baking snickerdoodle cookies and 3 hours baking chocolate chip cookies

d)

1 hour baking snickerdoodle cookies and 9 hours baking chocolate chip cookies

Test 3 Mixed Review

Total questions: 41

Worksheet time: 1hrs 18mins

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