algebra i

ALGEBRA I

1st Six Weeks 2017-18

Unit 2 – Solving Linear Inequalities September 25, 2017 – October 6, 2017 MONDAY

TUESDAY

WEDNESDAY

THURSDAY

September 25

26

27

28

Warm Up – p. 1

Warm Up – p. 4

Quiz

Warm Up – p. 9

Basic Compound Inequalities

Basic Comp Ineq – Day 2

Solving Inequalities

Solving Inequalities

Day 2

HW: WS

HW: WS

HW: WS

HW: WS

October 2

3

4

5

Quiz

Warm Up – p. 12

Warm Up – p. 13

Rewriting Equations and Formulas Day 1

Rewriting Equations & Formulas Day 2

HW: WS

HW: WS

Staff Development

FRIDAY 29

NO SCHOOL

6

Review!!!

TEST (Turn in Review)

HW: Finish Review

Coach Schmidt: ***Tutorials: Tuesday - Friday from 7:35 – 7:55 AM*** Ms. Martinez: ***Tutorials: Monday, Wednesday, Friday from 7:35 – 7:55 AM*** Mr. Landrum: ***Tutorials: Tuesday - Friday from 7:35 – 7:55 AM***

0

Warm-up #1

1

NOTES Solving Inequalities (Day 1) NOTE: On a number line, the graph of the ______________ in one variable is the set of points that represents __________________ of the inequality.

Symbol

Greater than

Greater than or equal to

Less than

Less than or equal to

>

≥


2𝑥 + 17

______________

Examples: Translate the verbal phrase into an inequality. Then solve the inequality and graph your solution. 10. The sum of 5 and x is greater than -14.

11. Twice the sum of 4 and a number x is greater than or equal to 32.

3

Warm-up #2

4

NOTES Solving Inequalities

(Day 2)

Greater

Greater than

Less

Less than

than

or equal to

than

or equal to

>

≥


−2𝑑 − 4

_______________

Examples: Solve the inequality, if possible. 7. 14𝑥 + 5 < 7(2𝑥 − 3)

8. 12𝑥 − 1 > 6(2𝑥 − 1)

6

NOTES Solve Compound Inequalities 

A Compound Inequality has ___ parts: Ex: 3  x  10 Ex: x  7 or x  2



2 Types: (1) Intersection: Use the word “_____”  A number must satisfy ______! Ex: 3  x  7

Ex:

4 x28

7

Ex: 2  2 x  1  5

(2) Union: Use the word “____”  A number must satisfy ___________! Ex: x  2 or x  1

Ex: x  4  2 or x  2  1

8

Warm-up #3

9

Literal Equations Rewriting Equations and Formulas The equation Ax  B  C is called a literal equation since the coefficients (#’s in front of the variable) and constant #’s have been replaced by ________. Solve for the indicated variable. Ex 1.

Solve p  qx  r for x .

Ex 2.

Solve the literal equation for x .

a.

e( x  f )  d

b.

ax  b  cx  d

10

Ex 3.

Solve the formulas for the indicated variable.

P  2l  2w

𝑤 𝑡

=𝑝

for w .

for t .

Ex 4. Write 2 x  3 y  6 so that y is a function of x .

Ex 5. Solve the following for y. a. 3𝑥 – 2𝑦 = 10 b. 10𝑥 – 𝑦 = 5

11

Warm-up #4

12

Warm-up #5

13