Anything & Everything
Word Problems
Solve It Equations
Solve It Inequalities
Graph it Inequalities
100
When do you use an open circle on inequalities?
< or >
100

You have $120 to spend on new clothes for school. Shirts cost $35 each and the pair of pants cost $50. Write and solve an inequality that represents how many shirts you can buy.

35x+50≤120 

x≤2

100

 16-2t=t+9+4t 

 t=1 

100
2>-3t-10
t>-4
100
x<2
Open Circle shaded to left
200
A mathematical sentence that compares expressions.
Inequality
200

You pay a one time fee of $60 to join the YMCA. Every month you buy x waters at the YMCA for $2 each. You spend a total of $94 at the YMCA each month. How many waters do you buy each month. Write and solve and equation.

60+2x=94 

x=17

200

 x/2+1=(2x)/3-3 

 x=24 

200

 4-2m+3m>7 

m>3

200
-2<b
b>-2 open circle shaded to right
300
When do you use a closed circle on inequalities?
< or equal to > or equal to
300

Emma, her brother Liam, and her sister Noah are collecting cans for a school recycling competition. Emma collects twice as many cans as Liam. Noah collects 15 more cans than Liam. Together, the three siblings collect 195 cans.

How many cans does each sibling collect?

Write and solve an equation to find your answer.

  2x+x+(x+15)=195  

 4x+15=195  

  • Liam: 45 cans

  • Emma: 2(45)=90 cans

  • Noah: 45+15=60 cans

300

 -x/7-2/3=4/21 

x=-6

300

 9j-6+6j> -15 

j>0.2or1/5


300
5>-x
x>-5 Open circle shaded to right
400
When do you flip your sign when solving inequalities?
When multiplying of dividing by a negative number
400

A school is planning a field trip. Company A charges a $45 booking fee plus $12 per student. Company B charges a $75 booking fee plus $9 per student. Write and solve an equation to determine the number of students who must attend the trip for the two companies to charge the same total amount.

\45+12x=75+9x 

x=10

400

2n-3(4n+5)=-6(n-3)-1

 n=-8 

400

 -5/6<=-m/12-3/4 

m<=1

400
-2x+1>0
x<0.5 Open circle shaded to left
500
Two operations that undo each other, such as addition and subtraction or multiplication and division.
Inverse operations
500

The sum of three consecutive integers is at least 72. Write and solve an inequality to find the smallest possible values of the three integers.

  3x+3\geq 72  

 23, 24, 25 

500

1/2(x+2)+2x=11


x=4

500

 [2(x-6)]/-9>=0 

a<=6

500
6x+30<42
x<2 open circle shaded to left
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