Transcript TODAY IN ALGEBRA…  Warm Up: Solving one-step equations  Learning Goal: 6.2 You will solve Inequalities using multiplication and division  Independent Practice.

TODAY IN ALGEBRA…
 Warm Up: Solving one-step equations
 Learning Goal: 6.2 You will solve
Inequalities using multiplication and
division
 Independent Practice
WARM UP:Solve for x for the one-step equations.
1. 7𝑥 = −21
7
7
𝒙 = −𝟑
3.
2
5
− ∙
5
− 𝑥
2
=
Undo multiplication
with:
DIVISION
2. 3
2
15 ∙ −
5
Undo a fraction
15(−2)
with:
5
𝑥=
𝒙 = −𝟔
RECIPROCAL
𝑥
∙3
= 8∙3
𝒙 = 𝟐𝟒
Undo division
with:
MULTIPLICATION
REVIEW: Graph the following inequalities.
1. 3 > 𝑎
2. 𝑥 > −6.5
1
3.
1
2
3
5
≥𝑛
−3 −1
−8 −6 −4
4. 𝑣 ≤ −2
1
−2
0
2
6.2 SOLVING ONE-STEP INEQUALITIES: USING DIVISION
KEEP YOUR EQUATION ALIGNED!
EXAMPLE 1:
6𝑥 ≤ 48
6
6
𝒙≤𝟖
GRAPH:
6
8
EXAMPLE 2:
−4𝑥 > 24
−4
−4
FLIP SIGNS ! 𝒙 < −𝟔
GRAPH:
10
TRY ON YOUR OWN:
1. 5𝑣 ≥ −25
5
5
𝒗 ≥ −𝟓
−7 −5 −3
−8 −6 −4
2. −12 < −3𝑏
−3
−3
𝟒<𝒃
2
4
6
6.2 SOLVING ONE-STEP INEQUALITIES: USING MULTIPLYING
KEEP YOUR EQUATION ALIGNED!
EXAMPLE 1:
𝑥
4 ∙ 4 < 5∙ 4
𝒙 < 𝟐𝟎
GRAPH:
EXAMPLE 2:
𝑥
−6 ∙ −6 > 2 ∙ −6
FLIP SIGNS ! 𝒙 < −𝟏𝟐
GRAPH:
18 20 22
TRY ON YOUR OWN:
𝑣
1. −4 ∙ ≥ 12 ∙ −4
−4
𝒗 ≤ −𝟒𝟖 FLIP SIGNS !
−50−48−46
−14−12−10
𝑏
2
2. 2 ∙ 8 ≤ ∙ 2
𝟏𝟔 ≤ 𝒃
14 16 18
HOMEWORK #2:
Pg. 366: 1-14, 28-33
If finished, work on other assignments:
HW #1: Pg. 359: 1-9, 10-22 even, 24-26, 28, 31