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Classwork 11/6-11/7

Total questions: 16

Worksheet time: 8mins

Name
Class
Date
1.

Solve the equation:
 5−∣2x+4∣=−105-\left|2x+4\right|=-10  

a)

 x=−192, 112x=-\frac{19}{2},\ \frac{11}{2}  

b)

 x=−192x=-\frac{19}{2}  

c)

 x=112x=\frac{11}{2}  

d)

No Solution

2.

Solve the equation:
 −23∣x−1∣=−6-\frac{2}{3}\left|x-1\right|=-6  

a)

 x=10, −8x=10,\ -8  

b)

 x=10x=10  

c)

 x=−8x=-8  

d)

No Solution

3.

Decide if the table represents an absolute value, linear, exponential function, or none of these.

a)

Absolute Value

b)

Linear

c)

Exponential

d)

None of these

4.

Write the equation that represents the table.

a)

y=1(12)xy=1\left(\frac{1}{2}\right)^x

b)

y=12(1)xy=\frac{1}{2}\left(1\right)^x

c)

y=8(12)xy=8\left(\frac{1}{2}\right)^x

d)

y=8(2)xy=8\left(2\right)^x

5.

Decide if the table represents an absolute value, linear, exponential function, or none of these.

a)

Absolute Value

b)

Linear

c)

Exponential

d)

None of these

6.

Decide if the table represents an absolute value, linear, exponential function, or none of these.

a)

Absolute Value

b)

Linear

c)

Exponential

d)

None of these

7.

Write the equation that represents the table.

a)

y=−3x−0.5y=-3x-0.5

b)

y−8.5=−2(x−3)y-8.5=-2\left(x-3\right)

c)

y−8.5=−3(x−3)y-8.5=-3\left(x-3\right)

d)

y=3x−0.5y=3x-0.5

8.

Decide if the table represents an absolute value, linear, exponential function, or none of these.

a)

Absolute Value

b)

Linear

c)

Exponential

d)

None of these

9.

Write the equation that represents the table.

a)

y=3∣x∣−5y=3\left|x\right|-5

b)

y=−3∣x∣−5y=-3\left|x\right|-5 Linear

c)

y=−3x−5y=-3x-5 Exponential

d)

y=3x−5y=3x-5 None of these

10.

What is the domain of the right ray of  y=23∣x+4∣−1y=\frac{2}{3}\left|x+4\right|-1  ?

a)

all real #s

b)

 x>−4x>-4  

c)

 x<−4x<-4  

d)

 x>−1x>-1  

11.

What is the vertex of  y=23∣x+4∣−1y=\frac{2}{3}\left|x+4\right|-1  ?

a)

 (4,−1)\left(4,-1\right)  

b)

 (−4,−1)\left(-4,-1_{ }\right)  

c)

 (4,1)\left(4,1\right)  

d)

 x=4x=4  

12.

State the vertex for  f(x)=3∣x+4∣−2f\left(x\right)=3\left|x+4\right|-2  

a)

 (−4,−2)\left(-4,-2\right)  

b)

 (3, 4)\left(3,\ 4\right)  

c)

 (4, −2)\left(4,\ -2\right)  

d)

 (−4, 2)\left(-4,\ 2\right)  

13.

A car salesman gets paid $400 a week plus $200 for each car sold. Write a linear equation for his weekly salary, y, based on the number of cars sold, x.

a)

y=400x+200y=400x+200

b)

y=200(x−1)+400y=200\left(x-1\right)+400

c)

y=200x+400y=200x+400

d)

y=400(x−200)y=400\left(x-200\right)

14.

At noon, the temperature is 45 degrees outside. For the next several hours, the temperature drops 2 degrees each hour. Write a linear equation for the temperature, T, in terms of hours, h.

a)

T=−45+2hT=-45+2h

b)

T+45=−2(h−1)T+45=-2\left(h-1\right)

c)

T−45=−2(h+1)T-45=-2\left(h+1\right)

d)

T=45−2hT=45-2h

15.

At noon, the temperature is 45 degrees outside. For the next several hours, the temperature drops 2 degrees each hour. Assuming the pattern continues, when will the temperature reach 25 degrees?

a)

12:00 PM

b)

10:00 PM

c)

12:00 AM

d)

9:00 PM

16.

Ms. Dillin really likes to drink coffee, but she sometimes gets headaches from the caffeine. To avoid a headache, she can drink between 0 and 16 ounces of coffee, including 16 ounces. Write a linear inequality that represents the ounces of coffee, c, that Ms. Dillin can drink and avoid a headache.

a)

0<c<160<c<16

b)

0>c≥160>c\ge16

c)

16<c≤016<c\le0

d)

0<c≤160<c\le16