SECTION 2-1 : SOLVING ONE STEP EQUATIONS

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Presentation transcript:

SECTION 2-1 : SOLVING ONE STEP EQUATIONS ALGEBRA I @ SECTION 2-1 : SOLVING ONE STEP EQUATIONS

When you solve an equation, the object is to isolate the variable on one side with a coefficient of one and the constant on the other side of the equation. You can do this by using inverse operations and creating equivalent equations (equations that have the same solution).

ADDITION PROPERTY OF EQUALITY : You can add the same number to both sides of an equation and create an equivalent equation. Examples : SUBTRACTION PROPERTY OF EQUALITY : You can subtract the same number from both sides of an equation to create an equivalent equation. Examples :

MULTIPLICATION PROPERTY OF EQUALITY : You can multiply both sides of an equation by the same non-zero number. Examples : DIVISION PROPERTY OF EQUALITY : You can divide both sides of an equation by the same non-zero number. Examples :

Onto the real work….Solve each equation. ANSWER : 27 2) -12 + x = 17 ANSWER : 29 3) y + 23 = -12 ANSWER : -35 4) -20.7 = m – 34.23 ANSWER : -13.53

ALGEBRA I - SECTION 2-1 (Solving One Step Equations) ANSWER : -24 ANSWER : -12/5 ANSWER : -28 ANSWER : 8

ANSWER : 3/10 10) 4x = -36 ANSWER : -9 11) -5.5d = -22 ANSWER : 4

12) Gabe is driving 40 mph. Saira is driving 3/2 times as fast as Gabe 12) Gabe is driving 40 mph. Saira is driving 3/2 times as fast as Gabe. How fast is Saira driving? ANSWER : 60 mph