Advanced Algebra - TrigonometryObjective:

SWBAT solve linear equations.1

Warm Up

Simplify:

1. 8b - 3( 4 – b )

2. -6 (m – 9) + 14m – 20

3. 2 (b + 5) + 3 (2b – 10)

4. -w3 + w2 - 7 w2 - 8w3

5. 7t (t2 + 2) + 9t (t – 2)

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Vocabulary

Equation: a statement that two expressions are equal.

Ex. x + 2 = 9, x2 – 4x +10 = 0,

Solution: all numbers that make an equation true.

Solution Set: the set of all the solutions of an or condition.

Equivalent Equations: equations with the same solution set

Ex. x + 1 = 5 and 6x + 3 = 27

Linear Equation: a linear equation in one variable has the form ax + b = c (aka first degree equation)

3

Which of the following are a linear equations?

4

a. 3x - 7=12 b. 24x + 5 = 5(x – 2)

c. 2x - 7x2 + 4x3 = 19 d. 12x + 3= -4x-8

e. f.

Solve an equation with variable on one side.

5

573

2x

Solve an equation with variable on both sides.

6

Solve:

8y – 16 = 13y + 9

Solve an equation using the distributive property.

7

Solve:

5a + 3(a + 2) = 22.

Solve an equation using the distributive property.

8

Solve:

4(2x – 9) + 5x = -3(10 – x)

HomeworkWorksheet # 1- 9

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