2 - Xenia Community Schools

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5 Minute Check
Write an inequality for each sentence.
Complete on the back of your homework or
in your notes.
1. You cannot spend more than $50.
2. More than 800 fans attended the dance.
3. The heavyweight division is 200 pounds or
greater.
4. Kevin ran less than 5 miles.
5 Minute Check
Write an inequality for each sentence.
Complete on the back of your homework.
1. You cannot spend more than $50.
5 Minute Check
Write an inequality for each sentence.
Complete on the back of your homework.
1. You cannot spend more than $50.
t < 50
5 Minute Check
Write an inequality for each sentence.
Complete on the back of your homework.
2. More than 800 fans attended the dance.
5 Minute Check
Write an inequality for each sentence.
Complete on the back of your homework.
2. More than 800 fans attended the dance.
f > 800
5 Minute Check
Write an inequality for each sentence.
Complete on the back of your homework.
3. The heavyweight division is 200 pounds or
greater.
5 Minute Check
Write an inequality for each sentence.
Complete on the back of your homework.
3. The heavyweight division is 200 pounds or
greater.
h > 200
5 Minute Check
Write an inequality for each sentence.
Complete on the back of your homework.
4. Kevin ran less than 5 miles.
5 Minute Check
Write an inequality for each sentence.
Complete on the back of your homework.
4. Kevin ran less than 5 miles.
K<5
Tuesday, Dec 2
Lesson 6.8.7
Solve One-Step Inequalities
Solve One-Step Inequalities
Solve One-Step Inequalities
Solve One-Step Inequalities
Solve One-Step Inequalities
Solve One-Step Inequalities
Solve One-Step Inequalities
Solve One-Step Inequalities
Objective: To solve one-step linear
inequalities.
Solve One-Step Inequalities
If you add or subtract the same number from
each side of an inequality, the inequality
remains true.
This is the same as an equation.
Solve One-Step Inequalities
Remember when graphing:
< or > use an open dot
< or > use a closed dot
Solve One-Step Inequalities
Solve and graph the solution.
x + 7 > 10
To Solve an Addition or Subtraction
Inequality.
Step 1- Determine which side of the
inequality has a variable and constant.
Solve One-Step Inequalities
Solve and graph the solution.
x + 7 > 10
To Solve an Addition or Subtraction
Inequality.
Step 1- Determine which side of the
inequality has a variable and constant.
Solve One-Step Inequalities
Solve and graph the solution.
x + 7 > 10
To Solve an Addition or Subtraction
Inequality.
Step 2 - Add the opposite of the variable
side constant to both sides, making sure to
line up the constants.
Solve One-Step Inequalities
Solve and graph the solution.
x + 7 > 10
-7 -7
x
> 3
To Solve an Addition or Subtraction Inequality.
Step 2 - Add the opposite of the variable side
constant to both sides, making sure to line up the
constants.
Solve One-Step Inequalities
Solve and graph the solution.
x + 7 > 10.
-7 -7
x
> 3
Where does the dot go?
Solve One-Step Inequalities
Solve and graph the solution.
x + 7 > 10.
-7 -7
x
> 3
Is it open or closed?
Solve One-Step Inequalities
Solve and graph the solution.
x + 7 > 10.
-7 -7
x
> 3
Which direction does the line go?
Solve One-Step Inequalities
Solve and graph the solution.
x + 7 > 10.
-7 -7
x
> 3
Solve One-Step Inequalities
Solve and graph the solution.
x-3< 9
Do this on your own.
Solve One-Step Inequalities
Solve and graph the solution.
x-3< 9
+3 +3
x < 12
Solve One-Step Inequalities
Solve and graph the solution.
n+2> 2
Do this on your own.
Solve One-Step Inequalities
Solve and graph the solution.
n+2> 2
-2 -2
n
> 0
Solve One-Step Inequalities
Solve and graph the solution.
2+y< 3
Do this on your own.
Solve One-Step Inequalities
Solve and graph the solution.
2+y< 3
-2
-2
y < 1
Solve One-Step Inequalities
Solve and graph the solution.
t+6> 2
Do this on your own.
Solve One-Step Inequalities
Solve and graph the solution.
t+6> 2
-6 -6
t
> -4
Solve One-Step Inequalities
Solve and graph the solution.
2 1
y+7> 2
Do this on your own.
Solve One-Step Inequalities
Solve and graph the solution.
2 1
y+7> 2
-2 -2
7 7
1 2
7 4
3
y > 2 - 7 = 14 – 14 = 14
Solve One-Step Inequalities
If you multiply or divide the same number from
each side of an inequality, the inequality
remains true.
This is the same as an equation.
Solve One-Step Inequalities
Solve and graph the solution.
5x < 45
To Solve a Multiplication or Division
Inequality
Step 1 – Determine the coefficient.
Solve One-Step Inequalities
Solve and graph the solution.
5x < 45
To Solve a Multiplication or Division
Inequality
Step 1 – Determine the coefficient.
Solve One-Step Inequalities
Solve and graph the solution.
5x < 45
To Solve a Multiplication or Division
Inequality
Step 2 – Multiply both sides by the
reciprocal of the coefficient.
Solve One-Step Inequalities
Solve
5x <
5
x <
and graph the solution.
45
5
9
To Solve a Multiplication or Division
Inequality
Step 2 – Multiply both sides by the
reciprocal of the coefficient.
Solve One-Step Inequalities
Solve and graph the solution.
5x < 45
5
5
x < 9
Where does the dot go?
Solve One-Step Inequalities
Solve and graph the solution.
5x < 45
5
5
x < 9
Is it open or closed?
Solve One-Step Inequalities
Solve and graph the solution.
5x < 45
5
5
x < 9
Which direction does the line go?
Solve One-Step Inequalities
Solve
5x <
5
x <
and graph the solution.
45
5
9
Solve One-Step Inequalities
Solve and graph the solution
10x < 80.
Do this on your own.
Solve One-Step Inequalities
Solve and graph the solution.
1
10
·10x < 80 ·
x < 8
1
10
Solve One-Step Inequalities
Solve and graph the solution.
x > 2
6
Do this on your own.
Solve One-Step Inequalities
Solve and graph the solution.
x > 2
6
6· x
1· 6
>
2· 6
1· 1
Solve One-Step Inequalities
Solve and graph the solution.
d < 2
3
Do this on your own.
Solve One-Step Inequalities
Solve and graph the solution.
d < 2
3
3· d
1· 3
<
2· 3
1· 1
Solve One-Step Inequalities
Solve and graph the solution.
2k > 4
5
Do this on your own.
Solve One-Step Inequalities
Solve and graph the solution.
2k > 4
5
5 · 2k
2· 5
>
4· 5
1· 2
Solve One-Step Inequalities
Laverne is making bags of party favors for
each of the 7 friends attending her birthday
party. She does not want to spend more
than $42 on party favors. Write and solve an
inequality to find the maximum cost of each
party bag.
Do this on your own.
Solve One-Step Inequalities
Laverne is making bags of party favors for each of the 7
friends attending her birthday party. She does not want
to spend more than $42 on party favors. Write and solve
an inequality to find the maximum cost of each party bag.
7p < 42
1 ·7p < 42 · 1
7
7
p<6
Solve One-Step Inequalities
Johanna’s parents give her $10 per week for
lunch money. She cannot decide whether she
wants to buy or pack her lunch. If a hot lunch
at school costs $2 write and solve an
inequality to find the number of times per
week she can buy her lunch.
Do this on your own.
Solve One-Step Inequalities
Johanna’s parents give her $10 per week for lunch money.
She cannot decide whether she wants to buy or pack her
lunch. If a hot lunch at school costs $2 write and solve an
inequality to find the number of times per week she can
buy her lunch.
2x < 10
1 ·2x < 10 · 1
2
2
x<5
Solve One-Step Inequalities
Suppose David has $65 to spend on his
concert ticket and some shirts. He already
spent $32 on his ticket. Write an equality
that can be used to find how much he can
spend on shirts.
Do this on your own.
Solve One-Step Inequalities
Suppose David has $65 to spend on his
concert ticket and some shirts. He already
spent $32 on his ticket. Write an equality
that can be used to find how much he can
spend on shirts.
32 + S < 65
-32
-32
S < 33
Solve One-Step Inequalities
Johanna’s parents give her $10 per week for lunch money.
She cannot decide whether she wants to bu her
In three math tests, you score 91, 95 and 88
points. How many points must you score on
the forth test to have an A average (at least
90 points)?
Solve One-Step Inequalities
Johanna’s parents give her $10 per week for lunch money.
She cannot decide whether she wants to bck her
In three math tests, you score 91, 95 and 88
points. How many points must you score on
the forth test to have an A average (at least
90 points)?
91 + 95 +88 + x > 90 · 4
4
274 + x > 360
– 274
-274
x > 86
4·
Solve One-Step Inequalities
Johanna’s parents give her $10 per week for lunch money.
She cannot decide whether she wants to buck her
Does the order of operations in an inequality
matter? Explain.
Solve One-Step Inequalities
Johanna’s parents give her $10 per week for lunch money.
She cannot decide whether she wants to back her
Does the order of operations in an inequality
matter? Explain.
Yes, x > 5 is not the same as 5 > x
However, x > 5 is the same as 5 < x
Write and Graph Inequalities
Agenda Notes
Homework –
Homework Practice 6.8.7
Due Wednesday, Dec 3
Chapter 6.8 Test - Thursday, Dec 4
Accum Rev 8 – Due Thursday, Dec 4

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