1. BRAIN BLITZ/Warm-UP Short Answer:
Name:________________________________________________________________________________Date:_____/_____/__________
BRAIN BLITZ/Warm-UP
Short Answer:
Describe the difference between an equation and an inequality.
Write an inequality for the following situations:
You must be at least 16 years of age in order to get a driver’s license. If x represents age, write an inequality for those who are old enough to get a driver’s license.
The riding lawn mower will not start unless the person on the seat weighs a minimum of 100 lbs. Write an inequality that represents when the mower will NOT start.
Circle ALL of the choices that represent the following inequalities:
Graph the following :
x < 9
-4 ≥ x
x ≤ -10 -9 -8
-10
-10.5
> x 3 2 -3 5

2. One -Step Inequalities
Today’s Lesson:
What:
One -Step Inequalities
Why:
To solve one –step inequalities.

3. In an equation, there is _________ and only ________answer!!!
Solve the below equations:
x = 9
2) x = -2
In an equation, there is _________ and only
________answer!!!
x = -6
x = -3
ONE
ONE

4. Solving an inequality is very similar to
solving an equation . . .
Examples: 1)
3x > 99 3
x > 33 2)
x – 4 ≤ 44
x ≤ 48
Meaning:
“x” is ALL #’s bigger than
33, but can ____________ be
33 itself!!
Meaning:
“x” is ALL #’s less than
OR ____________ to 48 !
NOT
EQUAL
So, in an EQUATION, there is only __________________ answer. However, in an INEQUALITY, there is an ___________________________________ amount of answers– as long as the answer “fits” the criteria.
one
infinite

5. Re-write the inequality– putting x on the left!
Solve and graph the following one-step
inequalities:
x + 6 ≥ -4
x ≥ -10
Re-write the inequality– putting x on the left!
-2 > x - (-3)
x < -5

6. Re-write the inequality– putting x on the left!
Solve and graph the following one-step
inequalities:
3) 𝑥 2 ≤ -4
x ≤ -8
Re-write the inequality– putting x on the left!
4) < 5x
x > 5

7. Is the coefficient negative?
What about when a negative # is “with” x?
Solve: x > 16
QUESTION:
Does the above answer still “work” when you plug
it back into the original inequality?
No, it does not work!
Memorize this rule:
When multiplying or dividing by a negative number, we switch the inequality sign!!!
Is the coefficient negative?
For the following inequalities, do we switch the sign?? (Yes or No)
2x < -16
x_ > -5 -4
– 4x ≥ -24
x ≤ 42 NO
YES
YES NO

8. Switch sign because the coefficient is negative!!
Circle EVERY number that could be a
solution to the following inequalities
(switch sign when needed):
-8 + x ≥ -14
x ≥ -6 -6
-6.5 -7 6
Switch sign because the coefficient is negative!!
-3x < -30
x > 10 10 9
10.5 11 8

9. Switch sign because the understood coefficient is negative!!
3) x ≤ 4
Switch sign because the understood coefficient is negative!!
x ≥ 20 19
-19
-20 20 21
4) 𝑥 7 > -9
x > -63
-63
-61
-62.5
-64
-62

10. END OF LESSON
The next slides are student copies of the notes for this lesson. These notes were handed out in class and filled-in as the lesson progressed.
NOTE: The last slide(s) in any lesson slideshow represent the homework assigned for that day.

11. Re-write the inequality– putting x on the left!
Math-7 NOTES
DATE: ______/_______/_______
What: solving one -Step Inequalities
Why: To solve one –step inequalities.
NAME:
x + 15 = 9 2) x + 10 = -2
In an equation, there is __________ and only __________ answer!!!
Solve the below equations:
Solving an inequality is very similar to solving an equation . . .
We still have to isolate the variable, and we still follow the Golden Rule . . .
Examples:
1) _3_x > _99_ ) x – 4 ≤ 44
x > x ≤ 48
Meaning: Meaning:
“x” is all #’s bigger than 33, but “x” is all #’s less than OR ____________
can _______________ be 33 itself! to 48 !
So, in an EQUATION, there is only ____________________ answer. However, in an INEQUALITY, there is an ___________________________________ amount of answers– as long as the answer “fits” the criteria.
Re-write the inequality– putting x on the left!
Solve and graph the following one-step inequalities:
x + 6 ≥ -4
-2 > x - (-3)

12. What about when a negative # is “with” x? Solve: -4x > 16 QUESTION: 2
4) < 5x
What about when a negative # is “with” x?
Solve: x > 16
QUESTION:
Does the above answer still “work” when you plug it back into the original
inequality?
Memorize this rule:
For the following inequalities, do we switch the sign?? (Yes or No)
2x < -16
𝑥 −4 > -5
– 4x ≥ -24
x ≤ 42
Circle EVERY number that could be a solution to the following inequalities
(switch sign when needed):
-8 + x ≥ -14
-3x < -30
x ≤ 4
4) 𝑥 7 > -9 -6
-6.5 -7 6 10 9
10.5 11 8 19
-19
-20 20 21
-63
-63.5
-62.5
-64
-62

13. Math-7 homework - “solving one-step inequalities”
Name: _____________________________________________________________________________ Date: _____/_____/__________
Math-7 homework
“solving one-step inequalities”
Re-write inequality, putting x on the left (switch sign).
6x > -48
Remember to switch sign when you need to! -