9.1 Exponential Equations Quiz

Authored by Sergio Contreras

Mathematics

9th Grade

CCSS covered

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20 questions

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MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve: 7^-x = 49

x = 1

x = -1

x = 2

x = -2

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the common ratio: 4, -16, 64, -256, ...

r = -4

r = 2

r = -2

r = 4

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Given the sequence:
125, 25, 5, ....
Write the explicit rule:

t(n) = (125)(5)⁽ⁿ⁾

t(n) = 625(1/5)⁽ⁿ⁾

t(n) = 625(5)⁽ⁿ⁾

t(n) = 125 + 5n

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve the following exponential equation:
$5^{-3x}=125$

$x=-1$

$x=-4$

$x=-3$

$x=1$

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve the following exponential equation: $2\left(4\right)^p=32$

$p=-2$

$p=2$

$p=16$

$p=\frac{7}{6}$

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

How would you solve an exponential equation like the one below:
$36=6^x$

Rewrite $36$ as $6^2$

Set the exponents equal to each other

Rewrite $36$ as $6^3$

Multiply the exponents

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve the following exponential equation:
$2^{3n}=4$

$n=2$

$n=3$

$n=\frac{2}{3}$

$n=4$

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Name the base in the power below:
$8^{-2}$

Base is -2

Base is 0

Base is 1

Base is 8

Base is 1/8

Tags

CCSS.6.EE.A.1

10.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find f(x)= 432 when $f\left(x\right)=2\left(6\right)^x$

2/3

-4

Tags

CCSS.HSF-IF.C.8B

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9.1 Exponential Equations

Solve: 7-x = 49

Find the common ratio: 4, -16, 64, -256, ...

Given the sequence:125, 25, 5, ....Write the explicit rule:

Solve the following exponential equation: 5−3x=1255^{-3x}=1255−3x=125

Solve the following exponential equation: 2(4)p=322\left(4\right)^p=322(4)p=32

How would you solve an exponential equation like the one below: 36=6x36=6^x36=6x

Solve the following exponential equation: 23n=42^{3n}=423n=4

Name the base in the power below: 8−28^{-2}8−2

Find f(-4) for f(x) = 2x If you get a decimal answer, remember to convert it to a fraction in the calculator.

Find f(x)= 432 when f(x)=2(6)xf\left(x\right)=2\left(6\right)^xf(x)=2(6)x

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Discover more resources for Mathematics

Solve: 7^-x = 49

Given the sequence:
125, 25, 5, ....
Write the explicit rule:

Solve the following exponential equation:
$5^{-3x}=125$

Solve the following exponential equation: $2\left(4\right)^p=32$

How would you solve an exponential equation like the one below:
$36=6^x$

Solve the following exponential equation:
$2^{3n}=4$

Name the base in the power below:
$8^{-2}$

Find f(-4) for f(x) = 2^x

If you get a decimal answer, remember to convert it to a fraction in the calculator.

Find f(x)= 432 when $f\left(x\right)=2\left(6\right)^x$