warm ups solve for x. 1. x + 14 = 16 2. -11 + x = 4 3. 5x – 3 = 4x + 2 4. -10x + 3 = 5 – 11x 5....

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Warm ups Solve for x. 1. x + 14 = 16 2. -11 + x = 4 3. 5x – 3 = 4x + 2 4. -10x + 3 = 5 – 11x 5. 6x + 3 – 4x = x - 6 1.x = 2 2.x = 15 3.x = 5 4.x = 2 5.x = -9

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Page 1: Warm ups Solve for x. 1. x + 14 = 16 2. -11 + x = 4 3. 5x – 3 = 4x + 2 4. -10x + 3 = 5 – 11x 5. 6x + 3 – 4x = x - 6 1.x = 2 2.x = 15 3.x = 5 4.x = 2 5.x

Warm ups

Solve for x.

1. x + 14 = 16

2. -11 + x = 4

3. 5x – 3 = 4x + 2

4. -10x + 3 = 5 – 11x

5. 6x + 3 – 4x = x - 6

1. x = 2

2. x = 15

3. x = 5

4. x = 2

5. x = -9

Page 2: Warm ups Solve for x. 1. x + 14 = 16 2. -11 + x = 4 3. 5x – 3 = 4x + 2 4. -10x + 3 = 5 – 11x 5. 6x + 3 – 4x = x - 6 1.x = 2 2.x = 15 3.x = 5 4.x = 2 5.x

7-1 Solving Inequalities using Addition and

SubtractionObjective: To solve inequalities

by adding or subtracting.

Standard 5.0

Page 3: Warm ups Solve for x. 1. x + 14 = 16 2. -11 + x = 4 3. 5x – 3 = 4x + 2 4. -10x + 3 = 5 – 11x 5. 6x + 3 – 4x = x - 6 1.x = 2 2.x = 15 3.x = 5 4.x = 2 5.x

Inequalities – not equal

is at least

is at most

Page 4: Warm ups Solve for x. 1. x + 14 = 16 2. -11 + x = 4 3. 5x – 3 = 4x + 2 4. -10x + 3 = 5 – 11x 5. 6x + 3 – 4x = x - 6 1.x = 2 2.x = 15 3.x = 5 4.x = 2 5.x

Examples

1. 2.

3. 4.

5.

29 68g ( 21) 7y

11 5x 13 2 3 39z z

3 17 2 14r r

Page 5: Warm ups Solve for x. 1. x + 14 = 16 2. -11 + x = 4 3. 5x – 3 = 4x + 2 4. -10x + 3 = 5 – 11x 5. 6x + 3 – 4x = x - 6 1.x = 2 2.x = 15 3.x = 5 4.x = 2 5.x

Graphing – letter always on left

Shade on number line – the arrow will tell you what direction to shade

< open circle to left

x < 7

> open circle to right

x > -2

0 7

-2 0

Page 6: Warm ups Solve for x. 1. x + 14 = 16 2. -11 + x = 4 3. 5x – 3 = 4x + 2 4. -10x + 3 = 5 – 11x 5. 6x + 3 – 4x = x - 6 1.x = 2 2.x = 15 3.x = 5 4.x = 2 5.x

Graphing (continued)

< closed circle to left

x < -13

> closed circle to right

x > 18

-13 0

0 18

Page 7: Warm ups Solve for x. 1. x + 14 = 16 2. -11 + x = 4 3. 5x – 3 = 4x + 2 4. -10x + 3 = 5 – 11x 5. 6x + 3 – 4x = x - 6 1.x = 2 2.x = 15 3.x = 5 4.x = 2 5.x

4 Things you need:

1. Circle

2. Number and zero

3. Shaded or open circle

4. Arrow (shading)

TOO:

y > 28 r<31 16x z

Page 8: Warm ups Solve for x. 1. x + 14 = 16 2. -11 + x = 4 3. 5x – 3 = 4x + 2 4. -10x + 3 = 5 – 11x 5. 6x + 3 – 4x = x - 6 1.x = 2 2.x = 15 3.x = 5 4.x = 2 5.x

Translate, solve, and graph

Three times a number is more than the difference of twice that number and three.

Page 9: Warm ups Solve for x. 1. x + 14 = 16 2. -11 + x = 4 3. 5x – 3 = 4x + 2 4. -10x + 3 = 5 – 11x 5. 6x + 3 – 4x = x - 6 1.x = 2 2.x = 15 3.x = 5 4.x = 2 5.x

Homework

Pg. 388 # 17 - 39 Don’t forget to shade! (It’s okay to be shady today)