Writing Inequalities
Solving 1 Step Inequalities
Solving Inequalities level 2
Solving Inequalities Level 3
Creating Inequalities from Word Problems/ Miscellaneous
200

A number q plus 8 is less than or equal to 15


q+8≤15

200

Solve the inequality and graph it.

x+2 ≤ 8


x≤6

200

What is the special rule you learned about inequalities when solving an inequality?

Switch the inequality symbol when multiplying/ dividing by a negative number.

200

Solving Inequalities

Solve for x. 

4x + 3 < 7


x < 1

200

Maria wants to bake cookies. She has 40 dollars to spend on ingredients. Sugar costs 8 dollars, flour costs 12 dollars, and chocolate chips cost x dollars. She needs to spend less than 40 dollars in total.


Create an Inequality that represents the situation and solve it.


8+12+x<40


x<20

400

The sum of a number y and 4 is no less than the product of 5 and 6

    

y+4≥30 

400

4x>-8

x>-2


400

Solve the Inequality 

-2x < -15

What is:

x >7.5

400

Solving Inequalities

Solve for x.

2x+6x - 5 > 11


x > 2

400

A bakery sells cookies for 2 dollars each. Their daily expenses are 150 dollars. Let x = the number of cookies sold. The bakery wants to make a profit, so revenue must be greater than expenses. 


Create an inequality and find out how many cookies does the bakery has to sell to make a profit?

2x>150



x>75

600

Write an Inequality that represents the graph.



y>-4

or variable/letter of your choice >-4 

600

Solve the Inequality and graph it

x/2+2<-3


x<-10


600

Solve the Inequality.

-x/6geq4


xleq-24

600

Solving Inequalities

Solve for x. 

5b<= 3(b-4)

What is: 

x<= -6

600

Elena is preparing lasagna for a big family dinner. She has at most 4 hours to cook. Each lasagna takes 50 minutes to prepare and bake. If she makes x lasagnas, then the total time must be less than or equal to 4 hours (240 minutes). 

Create an Inequality and solve it to find out how many lasagnas can Elena cook.

50x≤240


x≤4.8


Elena can make at most 4 lasagnas.

800

Write an Inequality that represents the graph.


y≤9


or variable/letter of your choice ≤9

800

Solve the Inequality and graph it.

-6>z-(-13)

-19>z 

or 

z<-19

800

Solve the Inequality

-12b> -3(3b-15)

b< -15

800

Solve the inequality. 

2v+5v+8leq6v-1

vleq-9

800

Write the next two numbers in the pattern.

55,89

1000

The tallest person who ever lived was approximately 8 feet and 11 inches tall.

Write an inequality that represents the heights of every other person who has ever lived.

Is 9 feet a solution of the inequality? Explain


h<107

No, a height of 9 feet is equivalent to 108 inches, which is not less than 107 inches.

1000


1000

Solve the Equation:

-x/3+3/2<-11/6

x>10

1000

Solve the Inequality.

 

-5x+4x-8geq-x-9

 

I.M.S
1000

Write the next two letters.


J,J

M
e
n
u