Free Printable Chapter 7 Review

1.

Rewrite in exponential form:

log₃(9)=2.

a)

3⁹=2

b)

3²=9

c)

x²=9

d)

3^x=2

2.

Rewrite in logarithmic form:

6² = 36

a)

log₆ 2 = 36

b)

log₆ 36 = 2

c)

ln 36 = 2

d)

6³⁶ = 2

3.

Evaluate log₇ 343

a)

3

b)

49

c)

7

d)

1

4.

Evaluate: log₆₄4 = x

a)

x = 3

b)

x = -3

c)

x = ⅓

d)

x = -⅓

5.

What are the transformations of this graph?

a)

Right 1 Up 5

b)

Right 1 Down 5

c)

Left 1 Up 5

d)

Left 1 Down 5

6.

Expand

a)

6log₈v-2log₈u

b)

6log₈u-2log₈v

c)

3log₈u-2log₈v

d)

6log₈u+2log₈v

7.

Condense

a)

logxyz³

b)

log(xy/z³)

c)

logx+logy+logz³

d)

logx³y³z³

8.

Condense

a)

log₈(x⁶)/log₈(y³)

b)

log₈(x⁶/y³)

c)

log₈(x/y³)

d)

log₈(x⁶y³)

9.

Expand

a)

log₇x + log₇y + 4log₇z

b)

4log₇x + 4log₇y + 4log₇z

c)

log₇x - log₇y - 4log₇z

d)

4log₇x - 4log₇y - 4log₇z

10.

Expand

a)

A

b)

B

c)

C

d)

D

11.

Solve the equation.

a)

A

b)

B

c)

C

d)

D

12.

log₂(x + 5) = 3

a)

3

b)

4

c)

5

d)

6

13.

$\left(\frac{1}{5}\right)^{\left(x-2\right)}=125^{\left(2x-5\right)}$
What would be the BEST first step in solving the equation?

a)

Divide by 125

b)

Use expansion to "bring the exponents down"

c)

Set the exponents equal to each other

d)

Rewrite the bases as powers of 5

14.

$\log_4x^2=\log_43+\log_4\left(x+6\right)$

Which quadratic equation would you wind up solving when solving the log equation?

a)

$x^2-3x-18=0$

b)

$x^2+3x+6=0$

c)

$x^2-3x-6=0$

d)

$x^2-x-9=0$

15.

Solve for x, as a simplified fraction:

a)

x = 6 / 5

b)

x = 25 / 6

c)

x = 6 / 25

d)

x = 5 / 6

16.

Sovle for x:
5^{-3x - 1} = 25

a)

x = -1

b)

x = -4

c)

x = -3

d)

x = 1

17.

Solve:
3^x-2= 27^4x

a)

-2/11

b)

-2/3

c)

2/11

d)

2/3

18.

Find the inverse
f(x)= x⁴- 2

a)

∜(x+2)

b)

(x+2)⁴

c)

-1+2x⁴

d)

∜2x

19.

What does it mean to find the inverse of a function?

a)

the x's and y's are switched

b)

the x's and y's are divided by 2

c)

the x's and y's are made negative

d)

the x's and y's are the same

20.

Find the inverse of f(x) = -4x - 12

a)

f^-1(x) = 4x - 3

b)

f^-1(x) = -1/4x - 3

c)

f^-1(x) = 1/4x + 3

d)

f^-1(x) = - 4x - 3

21.

The inverse of a log is....

a)

Quadratic

b)

Exponential

c)

Cubic

d)

Square root

22.

Where is Miss Perez going this summer?

a)

Italy

b)

Mexico

c)

road trip across US

d)

Spain

23.

What is the name of the parent function and equation for the graph?

a)

Square Root - y = √x

b)

Exponential - y = 2^x

c)

Logarthmic y = log(x)

d)

Cube Root - y = ∛x

24.

Identify the transformation of the equation.

a)

Reflect/Left 5/Down 2

b)

Reflect/Right 5/Up 2

c)

Reflect/Right 2/ Down 5

d)

RIght 5/Up 2

25.

The zero(s) of the function are where the function crosses ____________.

a)

the x-axis

b)

the y-axis

c)

the origin

d)

the 1st quadrant

26.

What is the asymptote of the function?

a)

y = 3

b)

y = -3

c)

x = 3

d)

x = -3

27.

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]

28.

What is the domain of the graph?

a)

[-7, 5)

b)

(-7, 5]

c)

[-3, 1)

d)

(-3, 1]

Chapter 7 Review

Total questions: 28

Worksheet time: 7hrs 0mins

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