April 07, 2014
LT 1B: I can solve one­step and two­step inequalities.
p.4
How do I solve one­step and two­step inequalities?
• Just like you solve one­step equations!__________ x ­ 3 < ­4
4x ≤ ­16
­8 ≤ 8 + y
x
­2 > 3
14 < 5x ­ 9
­ x ­ 3 ≥ ­2
2
3x + 17 > 4
The sum of 5 and x is more than ­11.
Inequality:
The difference of n and 15 is less than or equal to 37.
Inequality:
4 times a number minus 5 is greater than or equal to 15.
Inequality:
April 07, 2014
10 minus half of a number is less than 20.
Problem solving #1
p.5
Inequality:
Problem solving #2
Problem solving #3
Summary
*
*CW
p.5­7 (8, 11, 19, 23)
P p.5­7 (all)
For 1­4, 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) There are less than 50 fish in the tank.
2) The temperature today ranged from ­10 degrees to 3 degrees.
4) At a theater, people 55 years old and older pay a reduced admission price.
April 07, 2014
p.6
For 5­11, write and solve each inequality.
5) The sum of 11 and m 6) Seven more than a is greater than ­23.
number is less than seven.
7) Two times a number minus 13 is less than 47.
9)
The difference when 10)
A family needs to half of a number is greater 1.57 is subtracted from 3 drive 95 miles in less than or equal to 132.
times a number is less than 1 hour and 45 than or equal to 10.62.
minutes. What average speed must they drive?
Twenty­four minus 8)
11) Suppose you can rent a snowmobile for an initial 12) Is 6 a solution of the fee of $25, plus $12.50 per hour. For how many hours can you rent a snowmobile and still spend less than $90.
13) Describe and correct the error in solving the inequality.
inequality ­8 + x < 2? Show your work.
14) Describe and correct the error in solving the inequality and graphing the solution.
15) Multiple Choice. You want to buy a jacket and you can spend at most $30. You have a coupon for $3 off any item at the store. Which inequality can you use to find the original prices p of jackets that you can buy?
A. 3 + p ≥ 30
B. 30 + p ≤ 3
C. p ­ 3 ≤ 30
D. p ­ 30 ≥ 3
April 07, 2014
p.7
For 16­27, solve and graph each inequality.
16) a + 17 < 37
17) 8 + w ≥ 10
c
­1.5
20) 96 ≤ 12n
22) ­0.5t > ­6.5
23) ­8w + 9 ≥ 93
19) ­7 ≥
18) ­13 > b ­ 7
21) 2
­ x < 6 3
24) 1.2a ­ 0.97 < 2.63
25) 49y + 249 ≤ ­976 26) ­32 + (­41x) ≤ ­155 27)
5.95 ­ 2.95x > ­11.75
April 07, 2014
IF Box 3
x is at least ­3, but no more than 3
inequality:
graph:
Checking:
p.2­3
Remembering
April 07, 2014
April 07, 2014
April 07, 2014
1­3
4­7
math
2­3
5­7
math
April 07, 2014
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
April 07, 2014
LT 1B: I can solve one­step and two­step inequalities.
p.4
How do I solve one­step and two­step inequalities?
almost
• Just like you solve one­step equations!__________ x ­ 3 < ­4
­8 ≤ 8 + y
x
­2 > 3
4x ≤ ­16
x
2 ­ 3 ≥ ­2
14 < 5x ­ 9
­
3x + 17 > 4
The sum of 5 and x is more than ­11.
Inequality:
The difference of n and 15 is less than or equal to 37.
Inequality:
4 times a number minus 5 is greater than or equal to 15.
Inequality:
April 07, 2014
April 07, 2014
10 minus half of a number is less than 20.
Problem solving #1
Inequality:
Problem solving #2
Problem solving #3
p.5
April 07, 2014
Problem Solving #1
1.
You want to buy a shirt at a clothing store, and you can
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
C. p ­ 20 ≥ 5
B. p ­ 5 ≤ 20
D. 5 + p ≤ 20
April 07, 2014
Problem Solving #2
April 07, 2014
Problem Solving #3
Aba is in a Math class that has five quizzes, and each quiz is worth 10 points. To get an "A", he needs at least 42 points on all of his quizzes. 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.
April 07, 2014
Summary:
**
*
Solving inequalities is just like solving equations.
Flip inequality sign when you
divide or multiply by a negative.
April 07, 2014
CW
P
p.5­7 (8, 11, 19, 23)
p.5­7 (all)
SHOW WORK!
answers
p.5­7 answers
April 07, 2014
April 07, 2014
April 07, 2014
Attachments
One Step Inequalities.pdf