Lesson 1-3 Solving Equations. Properties of Equality Reflexive Propertya = a Symmetric PropertyIf a = b, then b = a. Transitive PropertyIf a = b and b.

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Presentation transcript:

Lesson 1-3 Solving Equations

Properties of Equality Reflexive Propertya = a Symmetric PropertyIf a = b, then b = a. Transitive PropertyIf a = b and b = c, then a = c. Addition PropertyIf a = b, then a + c = b + c Subtraction propertyIf a = b, then a - c = b - c Multiplication PropertyIf a = b, then ac = bc Division PropertyIf a = b, and c≠ 0then a/c = b/c Substitution PropertyIf a = b, then b may be substituted for a in any expression to obtain an equivalent expression

A solution of an equation is a number that makes the equation true. You must use the properties of equality to get the variable by itself. Solve each equation 2(y – 3) + 6 = 707w + 2 = 3w + 94

Solve the equation for x. Find any restrictions. 3x – 4 = 8ax – b = c ax + bx – 15 = 0 *Hint* Reverse the distributive property

You may have to write your own equation. The sides of a triangle are in the ratio 12:13:15 The perimeter is 120 cm. Find the lengths of the sides of the triangle.

The length of a rectangle is 3 cm greater than its width. The perimeter is 24cm. Find the dimensions of the rectangle.

2 – 40 even on pg 21-22