math, about inequalities

1. 7TH GRADE
MATHEMATICS
SOLVING INEQUALITIES BY ADDITION OR SUBTRACTION

2. Min Math

3. Review

4. 7.EE.4
Use variables to represent quantities in a real-world or
mathematical problems, and construct simple equations and
inequalities to solve problems by reasoning about the quantities.
7.EE.4b
Solve word problems leading to inequalities of the form px+q>r or
px+q<r where p, q, and r are specific rational numbers. Graph the
solution set, and interpret it in the context of the problem
I can solve inequalities by using the addition and
subtraction properties of inequality.

6. Words • Is less
than
• Is fewer
than
• Is greater
than
• Is more
than
• Exceeds
• Is less
than or
equal to
• Is no more
than
• Is at most
• Is greater
than or
equal to
• Is no less
than
• Is at least
Symbols < > < >

7. Solve: x + 3 > 10

8. Solve: -6 > n – 5 What are
the
similarities
between
inequalities
and
equations?

9. Your Turn!!!
a. a – 3 < 8 b. 0.4 + b > 7 c. -8 > c + 3

10. 7.EE.4
Use variables to represent quantities in a real-
world or mathematical problems, and construct
simple equations and inequalities to solve
problems by reasoning about the quantities.
7.EE.4b
Solve word problems leading to inequalities of the
form px+q>r or px+q<r where p, q, and r are
specific rational numbers. Graph the solution set,
and interpret it in the context of the problem

11. Solve 𝑎 +
1
2
< 2. Graph the solution set on a number
line.

12. Open and closed dots:
When graphing inequalities…
• Open dot is used when the value is not be
included in the solution (<,>).
• Closed dot is used when the value is
included (<,>).

13. Your Turn!!!
Solve each inequality and graph your solution.
d. d + 4 > 4 e. e – 6 < 4 f. 𝑓 +
3
4
> 2

14. THINK-PAIR-SHARE
HOW IS THE SOLUTION TO AN
INEQUALITY DIFFERENT FROM
THAT OF AN EQUATION?

15. 7.EE.4
Use variables to represent quantities in a real-world
or mathematical problems, and construct simple
equations and inequalities to solve problems by
reasoning about the quantities.
7.EE.4b
Solve word problems leading to inequalities of the
form px+q>r or px+q<r where p, q, and r are specific
rational numbers. Graph the solution set, and
interpret it in the context of the problem

16. Dylan has $18 to ride go-karts and play games at
the state fair. Suppose the go-karts cost $5.00.
Write and solve an inequality to find the most he
can spend on games.

17. There were a total of 125 cars at a car dealership. A
salesperson sold 68 of the cars in one month. Write
and solve an inequality that describes how many more
cars, at most, the salesman has left to sell. Interpret
the solution.

18. Your Turn!!!
The FLMS soccer team can have no more than 26
players. Write and solve a inequality to determine
how many ore players can make the team if the
coach has already chosen 17 players.

19. 7.EE.4
Use variables to represent quantities in a real-
world or mathematical problems, and construct
simple equations and inequalities to solve
problems by reasoning about the quantities.
7.EE.4b
Solve word problems leading to inequalities of the
form px+q>r or px+q<r where p, q, and r are
specific rational numbers. Graph the solution set,
and interpret it in the context of the problem

20. TIME TO GET CREATIVE!
• Create your own one-step inequality.
• Trade with your partner & solve each others inequality.
• Trade back & check each others work.

21. ADVANCE YOUR LEARNING:
EXPLAIN HOW GRAPHING A LINEAR
INEQUALITY HELPS US UNDERSTAND THE
INEQUALITY. USE AN EXAMPLE IN YOUR
EXPLANATION.

22. ON YOUR OWN
Complete the practice page on your own.
Make sure to show your work.
Keep when finished and have a red pen/pencil
ready to check.

23. CREATE YOUR OWN MATCHING GAME
• IN GROUPS OF THREE,
• Create 10 inequalities with matching solutions and graphs.
• Make sure you “proofread” inequalities for mistakes and make any
necessary corrections.
• Cut them out (you should have 30 pieces)
• Trade with another group

24. EXIT TICKET
1. How is solving an inequality similar to solving an
equation?
2. Solve and graph: 10 < 𝑏 − 8
3. Write and solve an inequality for the following phrase:
eight less than a number is less than ten.