Free Printable Topic 6 Review

1.

Solve e^2x-e^x-6=0

a)

x = $\ln3$

b)

x = $\log3$

c)

x = $\ln5$

d)

x = $\log2$

2.

Solve $\log_6\left(x+1\right)+\log_6x=1$

a)

$y=2$

b)

$x=3$

c)

$x=2$

d)

$y=3$

3.

Solve $7^{\left(5x+10\right)}=7^{\left(3x-4\right)}$

a)

$x=10$

b)

$x=3$

c)

$x=5$

d)

$x=7$

4.

Solve

e^{\left(2x+3\right)}=40

a)

$x\approx0.344$

b)

$x=1$

c)

$x\approx1$

d)

$x\approx0.334$

5.

What are the next two numbers?

-2, 0, 2, 4, ___ , ___

a)

6

b)

-4

c)

7

d)

8

6.

Find the next 2 terms.
3, 6, 12, 24, __ , __

a)

48

b)

36

c)

96

d)

72

7.

Find a formula for the nth term of this sequence.

24, 32, 40, 48, ...

a)

$t_n=4n+20$

b)

$t_n=8n+16$

c)

$t_n=6n+12$

8.

$y=2^{\left(x-1\right)}-4$ What is the domain and range of

a)

(- \infty, \infty), (- \infty, \infty)

b)

(4, \infty), (- \infty, \infty)

c)

$\left(-\infty,\infty\right),\ \left(\infty,-4\right)$

d)

(- \infty, \infty), (- 4, \infty)

9.

Find the specified term of this geometric sequence.
2, 6, 18, 54, ... ; $t_{10}$

a)

1,458

b)

162

c)

13,122

d)

39,366

10.

$y=2^{\left(x-1\right)}-4$ What is the parent function of

a)

$2^{\left(y-1\right)}$

b)

$2^x$

c)

$2^{\left(x-1\right)}$

d)

$2^x-4$

11.

2\cdot\log x-\log4=2

a)

$x=-20$

b)

$y=2$

c)

$x=2$

d)

$x=20$

12.

Is $y=-2\left(\frac{1}{2}\right)^x$ a growth, decay, or neither?

a)

growth

b)

decay

c)

neither

13.

What are the shifts in the function? $y=-\log\left(x+3\right)-4$

a)

left 3, down 4

b)

left 4, down 3

c)

right 3, down 4

d)

right 3, up 4

14.

Find the inverse of $y=\log_2x$

a)

$g\left(x\right)=y^2$

b)

$g\left(x\right)=2^y$

c)

$g (x) = x^{2}$

d)

$g (x) = 2^{x}$

15.

Simplify $\log_624+2\log_63$

a)

3

b)

5

c)

$3\sqrt{2}$

d)

none of the above

16.

Solve

a)

2

b)

2x

c)

8x

d)

8

17.

Simplify

\frac{1}{6}\ln\frac{1}{e^3}

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

e

d)

not possible

18.

Solve $\log_6\left(\frac{36}{6^{-10}}\right)$

a)

36

b)

6

c)

-10

d)

12

19.

Solve $\log_327^{\sqrt{2}}$

a)

9

b)

3

c)

$3\sqrt{2}$

d)

$2\sqrt{3}$

20.

Tell whether this arithmetic, geometric, or neither and find the next missing term of the sequence.

$\frac{1}{3},\frac{2}{5},\frac{3}{7},\frac{4}{9},$ __

a)

geometric

b)

arithmetic

c)

neither

d)

$\frac{5}{11}$

e)

$\frac{6}{13}$

Topic 6 Review

Total questions: 20

Worksheet time: 11mins

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