lesson 1-3, page 19
DESCRIPTION
Lesson 1-3, page 19. Agenda Sept. 23. Journal Check Homework. Notes for section 1-4. Assignment 1-4 Foldable (counts as quiz score). Notes Warm-up: Find the solution set to 2x – 1 ≥ 9 if the replacement set is x = {4, 5, 6, 7}. Check x = 4 2x – 1 ≥ 9 2(4) – 1 ≥ 9 8 – 1 ≥ 9 - PowerPoint PPT PresentationTRANSCRIPT
Lesson 1-3, page 19
Agenda Sept. 23Agenda Sept. 23• Journal
•Check Homework
• Notes for section 1-4
• Assignment 1-4
•Foldable (counts as quiz score)
Notes Warm-up: Find the solution set to 2x – 1 ≥ 9 if the
replacement set is x = {4, 5, 6, 7}.
Check x = 4
2x – 1 ≥ 9
2(4) – 1 ≥ 9
8 – 1 ≥ 9
7 ≥ 9
x = 4 is not a solution
Check x = 5
2x – 1 ≥ 9
2(5) – 1 ≥ 9
10 – 1 ≥ 9
9 ≥ 9
x = 5 is a solution
Solution set: {5, 6, 7}Solution set: {5, 6, 7}
Lesson 1-4Lesson 1-4
learning target:learning target:
Apply inverse and identity propertiesApply inverse and identity properties
Additive IdentityAdditive Identity
PROPERTY:PROPERTY:
a + 0 = aa + 0 = a
EXAMPLE:EXAMPLE:
If n + 0 = 8, then n = ?If n + 0 = 8, then n = ?
(n = 8)(n = 8)
Additive InverseAdditive Inverse
PROPERTY:PROPERTY:
a + -a = 0a + -a = 0
EXAMPLE:EXAMPLE:
If n + 5 = 0, then n = ?If n + 5 = 0, then n = ?
(n = -5)(n = -5)
Multiplicative Property Multiplicative Property of Zeroof Zero
PROPERTY:PROPERTY:
a a • • 0 = 00 = 0
EXAMPLE:EXAMPLE:
If 7n = 0, then n = ?If 7n = 0, then n = ?
(n = 0)(n = 0)
Multiplicative IdentityMultiplicative Identity
PROPERTY:PROPERTY:
a a • 1• 1 = a = a
EXAMPLE:EXAMPLE:
If 12n = 12, then n = ?If 12n = 12, then n = ?
(n = 1)(n = 1)
Multiplicative InverseMultiplicative Inverse
PROPERTY:PROPERTY:
a a • 1/a = 1• 1/a = 1
EXAMPLE:EXAMPLE:
If 3n = 1, then n = ?If 3n = 1, then n = ?
(n = (n = ⅓⅓))
How do you remember which is How do you remember which is which?which?
Hint #1: Which operation is used?Hint #1: Which operation is used? EX: Additive = + Multplicative = xEX: Additive = + Multplicative = x
Hint #2: Inverse means Hint #2: Inverse means ““oppositeopposite”” EX: Additive inverse means EX: Additive inverse means ““add the oppositeadd the opposite””
Hint #3: Identity means the original Hint #3: Identity means the original number stays the same.number stays the same.EX: Multiplicative identity means multiply by something EX: Multiplicative identity means multiply by something
to get the same number you start withto get the same number you start with
Time for Practice!Time for Practice!
In each of the following examples, identify n In each of the following examples, identify n and name the property that is being used. and name the property that is being used. Write the letter of the correct answer on Write the letter of the correct answer on your gel boardyour gel board
If n + 7 = 0, then n = ?If n + 7 = 0, then n = ?
A. A. n = 0n = 0, Additive , Additive Identity PropertyIdentity Property
B. B. n = -7n = -7, Additive , Additive Inverse PropertyInverse Property
C. C. n = -7n = -7, Multiplicative , Multiplicative Inverse PropertyInverse Property
D. D. n = 1/7n = 1/7, , Multiplicative Inverse Multiplicative Inverse PropertyProperty
If 8n = 0, then n = ?If 8n = 0, then n = ?
A. A. n = 0n = 0, Additive , Additive Identity PropertyIdentity Property
B. B. n = -8n = -8, Additive , Additive Inverse PropertyInverse Property
C. C. n = 0n = 0, Multiplicative , Multiplicative Property of ZeroProperty of Zero
D. D. n = -8n = -8, Multiplicative , Multiplicative Inverse PropertyInverse Property
If n + 13 = 13, then n = ?If n + 13 = 13, then n = ?
A. A. n = 1n = 1, Multiplicative , Multiplicative Identity PropertyIdentity Property
B. B. n = 0n = 0, Additive , Additive Inverse PropertyInverse Property
C. C. n = -13n = -13, Additive , Additive Inverse PropertyInverse Property
D. D. n = 0n = 0, Additive , Additive Identity PropertyIdentity Property
If 4n = 1, then n = ?If 4n = 1, then n = ?
A. A. n = 1n = 1, Multiplicative , Multiplicative Identity PropertyIdentity Property
B. B. n = ¼ n = ¼ , Multiplicative , Multiplicative Inverse PropertyInverse Property
C. C. n = -4n = -4, Additive , Additive Inverse PropertyInverse Property
D. D. n = ¼ n = ¼ , Multiplicative , Multiplicative Identity PropertyIdentity Property
Check for Understanding
Assignment 1-4B:
Page 23
#’s 12-13, 16-19, 22-29
Directions for 24-29: evaluate only
Place your name on the front of your foldable and write the page titles Place your name on the front of your foldable and write the page titles as shown below. You can do the pages with the arrows. as shown below. You can do the pages with the arrows.