Equations and Inequalities

Model the scenario “Spend no more than $200 on a new phone” as a graph.

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Tags

CCSS.6.EE.B.8

Write the inequality for the graph in words.

• x is between 15 and 29

• x is 15 or 29

• x is greater than 15 but less than 29

• x is greater than or equal to 15 and less than or equal to 29

Model the scenario “Water needs to be at least 212° F to boil” as an inequality.  
Let t = temperature of the water.

•  $t\ <\ 212$  

•  $t\le212$  

•  $t>212$  

•  $t\ge212$  

Tags

CCSS.6.EE.B.8

Model the scenario “Spend no more than $150 on a ticket to the concert” as a graph.

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Tags

CCSS.6.EE.B.8

Deshawn buys a 40 pound bag of dog food. Each week he will use two pounds of food feeding his pet. When the bag has less than 5 pounds left in it, Deshawn will go to the store to buy more.
Which inequality models when Deshawn will go to the store to buy more dog food?

• $2>5+40w$

• $5\le40-2w$

• $5\ge40-2w$

• $40<5+2w$

Mr. Jones has a giant bucket with 150 pieces of Halloween candy in it. Every day he gives away 12 pieces of candy to well-behaved students in between classes. When the bucket of candy has less than 15 pieces in it, Mr. Jones will have to buy more candy to make sure he doesn’t run out. 

Which inequality models the number of days that will pass before Mr. Jones will buy more candy? Let d = number of days.

•  $12>15+150d$  

•  $15>150-12d$  

•  $15\ge150-12d$  

•  $15<150-12d$  

 $10=x^2\ +1$  Which of the following represents a solution for this equation?

• There are no solutions

• x = 4.5

• There are infinitely many solutions

• x = 3

Tags

CCSS.8.EE.A.2

 $19=x^2\ +\ 3$  Which of the following represents a solution for the equation?

• There are no solutions

• x = 4

• There are infinitely many solutions

• x = 8

Tags

CCSS.8.EE.A.2

 $10=\sqrt{x}+1$  Which of the following represents a solution for the equation?

• x = 18

• x = 9

• x = 81

• There are infinitely many solutions

Tags

CCSS.HSA.REI.A.2

 $14=\sqrt{x}+4$  Which of the following represents a solution for the equation?

• x = 10

• x = 100

• x = 20

• There are no solutions

Tags

CCSS.HSA.REI.A.2