LT4b: I can solve one­step and two­step inequalities.
p. 21
How do I solve one­step and two­step inequalities?
• Just like you solve one­step equations! __________ Unit 8
Solve and graph each inequality.
x ­ 3 < ­4
x
3
­2 >
4x ≤ ­16
­ x ­ 3 ­2
≥
14 < 5x ­ 9
3x + 17 > 4
­8 ≤ 8 + y
2
The sum of 5 and x is more than ­11.
Inequality:
The difference of n and 15 is less than or equal to 37.
4 times a number minus 5 is greater than or equal to 15.
Inequality:
Inequality:
almost
Solve and graph each inequality.
10 minus half of a number is less than 20.
Problem solving #1
p. 22
Unit 8
Inequality:
Problem solving #2
Problem solving #3
Summary
*
*CW
p.22­24(3,12,14,21,27)
Practice p.22­24(all)
Write an inequality to describe each situation. Then, graph the inequality on a number line.
1) The price of a ticket for a concert was more than $25.
3) At a theater, people 55 years old and older pay a reduced admission price.
2) The temperature today ranged from ­10 degrees to 3 degrees.
4) There are less than 50 fish in the tank.
p. 23
Write and solve each inequality.
7)
5)
Seven more than a number is less than seven.
8) Two times a number minus 13 is less than 47.
6)
The sum of 11 and m is greater than ­23.
A family needs to drive 95 miles in less than 1 hour and 45 minutes. What average speed must they drive?
10)
9)
Twenty­four minus half of a number The difference when 1.57 is subtracted from 3 time a number is less than or is greater than or equal to 132.
equal to 10.62.
11) Suppose you can rent a snowmobile for an initial fee of $25, plus $12.50 per hour. For how many hours can you rent a snowmobile and still spend less than $90.
12) Is 6 a solution of the inequality ­8 + x < 2? show your work.
13)
14)
Unit 8
Describe and correct the error in solving the inequality or in graphing the solution.
15)
Describe and correct the error in solving the inequality.
Solve and graph each inequality.
p. 24
16) a + 17 < 37
17) 8 + w ≥ 10
Unit 8
c
­1.5
20) 96 ≤ 12n
19) ­7 ≥
22) ­0.5z > ­6.5
25) 5.95 ­ 2.95x > ­11.75
18) ­13 > b ­ 7
2
21) ­ x < 6 3
23) ­8z + 9 ≥ 93
26) ­32 + (­41x) ≤ -155
24) 1.2a ­ 0.97 < 2.63
27) 49y + 249 ≤ -976
IF
#1
#2
Solve for x.
=
#1
#2
Pull
Shen
2­3
6­7
Shen
8­11
12­15
16­18
Shen
Shen
Shen
9­11
13­15
16­18
Shen
Shen
Shen
19­20
Shen
1­3
4­7
21­24
Shen
Shen
20 Shen
22­24
check this out...
8 > 2
add 4
subtract 5
add -2
subtract -3
multiply by 3
divide by 2
multiply by -2
divide by -4
LT4b: I can solve one­step and two­step inequalities.
p. 21
How do I solve one­step and two­step inequalities?
• Just like you solve one­step equations! __________ Unit 8
almost
Solve and graph each inequality.
x ­ 3 < ­4
x
3
­2 >
4x ≤ ­16
­ x ­ 3 ­2
≥
14 < 5x ­ 9
3x + 17 > 4
­8 ≤ 8 + y
2
The sum of 5 and x is more than ­11.
Inequality:
The difference of n and 15 is less than or equal to 37.
4 times a number minus 5 is greater than or equal to 15.
Inequality:
Inequality:
Solve and graph each inequality.
10 minus half of a number is less than 20.
Problem solving #1
p. 22
Unit 8
Inequality:
Problem solving #2
Problem solving #3
Summary
*
*CW
p.22­24(3,12,14,21,27)
Practice p.22­24(all)
Write an inequality to describe each situation. Then, graph the inequality on a number line.
1) The price of a ticket for a concert was more than $25.
3) At a theater, people 55 years old and older pay a reduced admission price.
2) The temperature today ranged from ­10 degrees to 3 degrees.
4) There are less than 50 fish in the tank.
Problem Solving...
want to buy a shirt at a clothing store, and you can
1. You
spend at the most $20. You have a coupon for $5 off
any item at the store. Which inequality can you use to
find the original prices p of the shirts that you can buy?
A. 20 + p ≤ 5
B. p ­ 5 ≤ 20
C. p ­ 20 ≥ 5
D. 5 + p ≤ 20
Problem Solving...
2.
Problem Solving...
3.
Aba is in a Math class that has five quizzes, and each quiz is worth 10 points. To get an "A" for her quizzes, he needs at least 42 points. His first four scores are:
9 points, 8 points, 10 points, 7 points (for a total of 34 points).
He wanted to know what was the lowest score he could get on his last quiz to get an A.
Summary:
*
*
Solving inequalities is just like solving equations.
Flip inequality sign when you
divide or multiply by a negative.
Attachments
One Step Inequalities.pdf