Algebra 22.4

Pinkston

SAT Question

The formula relates Fahrenheit and Celsius temperatures. If F = C, then F =A. -40B. -32C. 32D. 36E. 40

932

5F C

932

5x x

9(5) (5) 32(5)

5x x

5 9 160x x 4 160x

40x

Determine whether the given number is a solution of the inequality:

1. 2x – 3 > -3 for x = 1

2. 4x – 1 ≤ 3x + 2, for x = 3

2(1) 3 3 1 3 Yes

4(3) 1 3(3) 2 11 11 Yes

Graphing inequalities:x ≤ 3 (closed circle)

x > -2 (open circle)

-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

x ≤ 3

3x x

x such that x ≤ 3

SetBuilderNotation

When solving inequalities, if we multiply or divide both sides by

a negative number, the inequality symbol reverses.

≤

Classwork: 8 – 24 even/77

8 8 3x 5x

-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

16 9 8.1x .9x

-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

Write the answer in set-builder notation:

5x x

Write the answer in set-builder notation:

.9x x

Classwork: 8 – 24 even/77

18 3 5

4 8x

-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

3 5(8) (8)

4 8x

2

6 5x 5

6x

Write the answer in set-builder notation:

5

6x x

Classwork: 8 – 24 even/77

24 2 7 5 9y y

-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

2 2y y 7 3 9y 9 9 2 3y

2

3y

2

3y

2

3y y

Get ready for a “Small Quiz” to be written

on your grade sheet.

1. Solve for r:

Quiz. Copy the problems and write the answer.

Put your grade paper on the front of your row, quiz side down.

2 2l w p

2mvF

r

2. Solve for w:

THE END