One/Two-Step
Multi-Step
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100

 Make sure to solve, graph and write the interval notation. 

                    

27>9x

(- oo, 3)

100

Make sure to solve, graph and write the interval notation. 

-8n-17<= -7(n+3)

[4,oo)


100

Which symbols do the following  key words represent:

- at least 

- more than 

- less than 

- no more than

 >=

 >

 <

 <=

100

Graph the following 

K>=3

100

Write out the following symbols: 

< & > 

Less than and Greater than 

200

Make sure to solve, graph and write the interval notation.


-12>=-4-b

[8,oo)

200

Make sure to solve, graph and write the interval notation.

-4(8x-7)>28-6x

-4(8x-7)>28-6x

200

Belinda wants to buy some fish for
her aquarium. She has $27 to
spend and the fish cost $4.50 each.
Write and solve an inequality to
find how many fish Belinda can
afford.

No More than 6 fish

4.50x<=27

x<=6

200

Graph the Following 

b<=-3  

200

Write out the following two symbols:

<= & >=

Less than or equal to and greater than or equal to

300

Make sure to solve, graph and write the interval notation.


-1+10a>=-111

[-11,oo)

300

Make sure to solve, graph and write the interval notation.

3v+9<3(v+5)

(-oo,oo)

300

Marva needs at least $130 to buy a new dress. She has already saved $58. She earns $8 an hour tutoring. Write and solve an inequality to find how many hours she will need to tutor to buy the dress.

She will need to tutor for at least 9 hours. 

8h+58 >= 130

h >= 9

300

Write the Inequality and Interval Notation for the following

 

n<=6 

(-oo,6]

300

What are the two situations that would require us to flip the inequality sign? 

One situation is when we want to flip/swap the inequality to have our variable on the left side.

The second is when we multiple or divide by a negative number.  

400

Make sure to solve, graph and write the interval notation.

-180> -9(a+6)

(14,oo)

400

Make sure to solve, graph and write the interval notation.

2(x-2)<=2(x-5)


400

 An online store has the following advertisement on there homepage. “FREE Standard Shipping when you spend $75 or more!” You have already spent $24 shopping online for clothes.
a)  Write and solve an inequality to represent the additional amount you must spend to get free shipping.
b) You find a pair of shoes that cost $51. Will the clothes and the shoes be enough to get free shipping? Explain

a. You have spend an additional $51 to receive free shipping.

24+x>=75

x>=51

 b. Yes it will because all we needed was an additional $51 as found in part a, because our initial $24 with the additional $51 dollars gets us to the $75 or more dollars needed.

400

Write the Inequality and Interval Notation for the following

n> -3

(-3,oo)

400

What is the inequality and graph for the following interval. 

[-4,oo)

The graph should have a closed circle at -4 and go to right all the way to positive infinity. 

X>=-4

500

Make sure to solve, graph and write the interval notation.

n/-4 -10> -11

(-oo,4)

500

Make sure to solve, graph and write the interval notation.

2a+8a<-5(4a+6)+5(2+8a)


(2,oo)

500

A one-way bus ride costs $1.75. A 30-day bus pass costs $42.
a)  Write and solve an inequality to find the least number of one-way rides you must take for the 30 day pass to be a better deal.
b)  You ride the bus an average of 20 times each month. Is the pass a better deal? Explain.

a. At 25 single one-way rides the 30-day bus pass becomes the better deal.

1.75x>= 42

x>=24

b. No, the pass is the better deal because on average you are not riding the bus for 25 times or more every month.

500

Write the Inequality and Interval Notation for the following

 

a>=0

[0,oo)

500

Without solving do we have to flip the following

4(-x+7)+5>50

Yes because your X term is negative on the left therefore you will have to divide by a negative. 

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