1-3 Solving Equations

Big Idea:-Solve equations and inequalities

Solving Equations

Solution of the equation: a number that makes the equation true.

Solution

Properties of EqualityReflexive Property x = x

Symmetric Property if a = b then b = a

Transitive Property if c = d and d = e then c = e

Addition Property if x = 5 then x +3 = 5 + 3

Subtraction Property if y = 2 then y – 1= 2 -1

Multiplication Property if w = 6 then 3w = 3·6

Division Property if a = 10 then a/2 = 10/2

Substitution Property if a = 2 and a + 3 then 2 + 3

Ex 1: Solve. A) 7x + 3 = 2x - 12

B 4(m + 9) = -3(m – 4)

Ex 2: The formula for the surface area of a rectangular prism is A = 2(lw + lh + wh). Solve the formula for w.

Ex 3: Solve for x.

Find any restrictions on a and b.

ba

x8

Essential Question:

How are algebraic expressions different or same from algebraic equations?

Answer question on your Notes in complete sentences.