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Create Exponential Equations in One Variable

Authored by Anthony Clark

Mathematics

8th Grade

CCSS covered

Create Exponential Equations in One Variable
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8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

A

B

C

D

Tags

CCSS.HSF.LE.A.2

2.

MATH RESPONSE QUESTION

1 min • 1 pt

Media Image

determine the solution to the equation

10(3x−2)=1000010^{\left(3x-2\right)}=10000

22

Mathematical Equivalence

OFF

3.

DROPDOWN QUESTION

1 min • 1 pt

Santiago just got hired as a dental assistant at Lake Hills Dental Care. His starting salary is $38,000, and his contract ensures that he will receive a 3% salary increase each year. Write an exponential equation in the form y=a(b)x that can model Santiago's salary, y, after x years. y = ​ ​ ​ (a)   (​ ​ (b)   )x After how many years will Santiago's salary be greater than $45,000? ​ ​ ​ (c)  

38000

1.03

6

1.3

4

0

3000

4.

DRAG AND DROP QUESTION

1 min • 1 pt

Natalie is the creator of Better Brain, a new mindfulness app for teens. The app currently has 1,262 downloads, and Natalie has set a goal of doubling the downloads every month. Write an exponential equation in the form y=a(b)x that can model Natalie's goal for the number of downloads, y, in x months. Use whole numbers, decimals, or simplified fractions for the values of a and b. y = ​ (a)   (​ (b)   )​ x

1262

2

1/2

1.2

0

2532

Tags

CCSS.HSF.LE.A.2

5.

DRAG AND DROP QUESTION

1 min • 1 pt

Media Image

Write an equation for f(x).

​ (a)   =​ (b)   ⋅\cdot ​ (c)   ^​ (d)  

f(x)

3

5

x

15

9375

60

0

75

375

Tags

CCSS.HSF.LE.A.2

6.

LABELING QUESTION

1 min • 1 pt

Click and drag the correct equation into the problem on the right.

g
j
e

f(x)=24(.35)xf\left(x\right)=24\left(.35\right)^x

f(x)=24(.65)xf\left(x\right)=24\left(.65\right)^x

range:  0<y≤24range:\ \ 0<y\le24

range:  y≥35range:\ \ y\ge35

f(x)=35(.24)xf\left(x\right)=35\left(.24\right)^x

f(x)35(1.24)xf\left(x\right)35\left(1.24\right)^x

f(x)=24(1.35)xf\left(x\right)=24\left(1.35\right)^x

domain: x≥0domain:\ x\ge0

range:  y≥24range:\ \ y\ge24

f(x)=65(.24)xf\left(x\right)=65\left(.24\right)^x

Tags

CCSS.HSF.LE.A.2

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Write the equation for the following graph.

y = 25(2)x

y = 2(25)x

y = 25(1/2)x

y = 2(1/25)x

Tags

CCSS.HSF.LE.A.2

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