Free Printable MP4 Nine Week Review

1.

log₄(3x - 1) = log₄(2x + 3)

a)

4

b)

3

c)

1

d)

8

2.

log₆(2x + 16) = 3

a)

x = 2

b)

x = 100

c)

x = 116

d)

x = 50

3.

log₈(4x - 4) = 2

a)

18

b)

12

c)

2

d)

5

4.

Solve for x. $\log_52+\log_5x=\log_520$

a)

x = 20

b)

x = 10

c)

x = 2

d)

$x=\frac{1}{10}$

5.

Solve for x. $\log_4\left(x+3\right)+\log_42=4$

a)

x = 29

b)

x = 51

c)

x = 4

d)

x = 125

6.

Continue solving for x. Which is the correct "step 2"?

a)

$64=x^3$

b)

$64^3=x$

c)

$x^{64}=3$

d)

$3^{64}=x$

7.

Finish solving for x.

Fill in the blank in the box below

(a)

8.

Solve for x: $9^x=60$

a)

1.748

b)

x = 6.667

c)

x = 0.537

d)

x = 1.863

9.

Rewrite the equation into logarithmic form:

6² = 36

a)

log₆ 2 = 36

b)

log₆ 36 = 2

c)

ln 36 = 2

d)

6³⁶ = 2

10.

Rewrite 3⁴ = 81 in logarithmic form.

a)

log₃4 = 81

b)

log₈₁3 = 4

c)

log₃81 = 4

d)

log₄81 = 3

11.

Change to Logarithmic Form:
5³ = 125

a)

log ₅ 125 = 3

b)

log₃125 = 5

c)

log ₅ 3 =125

d)

log₁₂₅ 3 = 5

12.

Find the asymptote for the following.

a)

x = -1

b)

x = 1

c)

y = 5

d)

y = -5

13.

List the range for the following.

a)

(-∞,∞)

b)

(-1, ∞)

c)

(5,∞)

d)

(1, ∞)

14.

a)

A

b)

B

c)

C

d)

D

15.

Solve the equation using log properties.

$\log_2\left(x+1\right)+\log_2\left(x\right)=1$

a)

$5$

b)

$6,\ 3$

c)

$-1,\ 2$

d)

$-2,\ 1$

16.

Solve $\log_{11}\left(3b+2\right)=\log_{11}\left(b^2-8\right)$

a)

$b=5,\ -2$

b)

$b=3,\ 7$

c)

$b=\ -5,\ 2$

d)

$b=4$

17.

Solve $\log_4\left(x^2-11x+34\right)=2$

a)

x = 2 and 9

b)

x = 4 and 8

c)

x = 5 and -2

d)

x = -9 and 2

18.

Solve $\log_2\left(x^2-2x+16\right)=6$

a)

x = -6 and 8

b)

x = 4 and -3

c)

x = -6 and -8

d)

x = 7

19.

What is the equation of the asymptote?

a)

x = -3

b)

x=5

c)

y= -3

d)

y=5

20.

Match the graph with its equation

a)

y = log₆(-x) + 1

b)

y = log₆(x − 2) + 1

c)

y = log₆(x + 2) - 1

d)

y = log(x-8) + 1

21.

Match the graph with its equation

a)

y = log₅ (x + 1) + 1

b)

y = log₅ (x - 1) + 1

c)

y = log₅ (x²) + 1

d)

y = log₅ (x)-1

22.

Select all the transformations that apply.

y = -2 log _1/2x

a)

Vertical stretch by 2

b)

Vertical shrink by 1/2

c)

Reflection across the y-axis

d)

Reflection across the x-axis

23.

Where is the asymptote?

a)

x = 1

b)

y = 1

c)

x = -1

d)

y = -1

24.

Using the parent function $y=\log_3x$ what would the graph of $y=\log_3\left(x+5\right)$ look like?

a)

Horizontal shift left 5 units

b)

Horizontal shift right 5 units

c)

Vertical shift up 5 units

d)

Vertical shift down 5 units

25.

Using the parent function

y=\log_6x

what would the graph of

y=\log_6x+9

look like?

a)

Horizontal Shift to the right 9 units

b)

Horizontal shift to the left 9 units

c)

Vertical shift 9 units up

d)

Vertical shift 9 units down

26.

Describe the graph of f(x) = log x changed to

f(x) = log(x + 21) - 50

a)

translate right 21 units and 50 units down

b)

translate left 21 units and 50 units down

c)

translate right 21 units and 50 units up

d)

translate left 21 units and 50 units up

27.

What is the change in the graphs from f(x) to g(x)?

f\left(x\right)=\log_8x

to

g\left(x\right)=\log_8\left(x+9\right)-7\

a)

Right nine and down seven

b)

Left nine and down seven

c)

Left nine and up seven

d)

Right nine and up seven

28.

Describe the graph of f(x) = log₉ x transformed to

f(x) = log₉(-x + 1) - 5

a)

Reflection about the y-axis; shift right 1 and 5 down

b)

Reflection about the y-axis; shift left 1 and 5 down

c)

Reflection about the x-axis; shift right 1 and 5 units down

d)

Reflection about the x-axis; shift left 1 and 5 units down

29.

In an exponential function, what does the 'a' represent?

a)

SLOPE

b)

RATE OF CHANGE

c)

Y-INTERCEPT

d)

COMMON RATIO

30.

A population of 1500 deer decreases by 1.5% per year. At the end of 10 years, there will be approximately 1290 deer in the population. Which function can be used to determine the number of deer, y, in this population at the end of t years?

a)

y = 1500(1 - 0.015)^t

b)

y = 1500(0.015)^t

c)

y = 1500(1 + 0.015)^t

d)

y = 1500(1.5)^t

31.

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

a)

f(x)=400(1+3)^x

b)

f(x)=400(1-0.03)^x

c)

f(x)=400(1+0.03)^x

d)

f(x)=400(0.03)^x

32.

Write the exponential regression equation for the data.

a)

Y=8.16(2.7)^x

b)

Y=81.6(2.7)^x

c)

Y=8.16(.27)^x

d)

Y=8.16(27)^x

33.

Which type of regression model does the scatter plot appear to show?

a)

linear

b)

exponential

c)

quadratic

34.

Use the exponential regression to find an equation that fits the data, where x is the years since 1990.

a)

y=8.92•1.23^x

b)

y=1.23•8.92^x

c)

y=8.92+1.23x

d)

y=8.92x+1.23

35.

Find the quadratic equation for the relationship of the horizontal distance and the height of the ball.

a)

-18x² + 2.11x + 4.21

b)

-.06x²+1.06x + 7.9

c)

-6x²+1.06x + 79

d)

-.12x² + 2.11x + 4.22

36.

Find the best fitting quadratic model for the data given.

a)

1.2x² + 13x + 504.3

b)

12x² + 13x + 504.3

c)

.12x² + 1.3x + 504.3

37.

A person travels by car. They record their miles driven in a data table. Calculate the linear regression equation of this data.

a)

y = 61.93x - 1.79

b)

y = -1.79x + 61.93

c)

y = 0.016x + 0.03

d)

y = 0.03x + 0.016

38.

A chemist has a 100-gram sample of a radioactive material. He records the amount of radioactive material every week for 6 weeks and obtains the following data: Find the exponential model of the function.

a)

y = 100(8.7)^x

b)

y = 100(1.87)^x

c)

y = 100(.87)^x

d)

y = 100(.13)^x

39.

What type of regression would you use for this data?

a)

Quadratic

b)

Linear

c)

Radical

d)

Exponential

40.

What type of regression would you use for this data?

a)

Linear

b)

Quadratic

c)

Radical

d)

Exponential

41.

The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 1994, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the projected number of new cases for 2003, rounded to the nearest whole number.

a)

974

b)

25,101

c)

940

d)

952

42.

What function model best represents the data in the table?

a)

linear

b)

exponential

c)

quadratic

43.

What function best models the data in the table?

a)

linear

b)

exponential

c)

quadratic

44.

Identify the following function.

a)

Linear

b)

Exponential

c)

Quadratic

d)

Neither

45.

Identify the following function.

a)

Linear

b)

Exponential

c)

Quadratic

d)

Neither

46.

This is a _______________ function.

a)

Linear

b)

Exponential

c)

Quadratic

47.

Is this table linear, quadratic, exponential, or none of the above?

a)

linear

b)

quadratic

c)

exponential

d)

none of the above

48.

Which kind of function has the same Second Differences

a)

Linear

b)

Quadratic

c)

Exponential

d)

Absolute Value

49.

Which kind of function has the same Common Ratios

a)

Linear

b)

Quadratic

c)

Exponential

d)

Absolute Value

50.

How can you tell if a table represents a linear function?

a)

There is a common difference (constant rate of change)

b)

There is a common SECOND difference

c)

There is a common ratio

MP4 Nine Week Review

Total questions: 50

Worksheet time: 3hrs 59mins

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