9/3 Solving Equations

9/3 Solving Equations

​Algebra 1 Honors

AHS - 2021-2022 - Ms. Kunkel

​One - Step Equations

• ​The goal is to get the variable by itself on one side of the = sign.

• ​Use the inverse operation to accomplish this.

• ​State the property used for each step.

​One - Step Equations

• ​The goal is to get the variable by itself on one side of the = sign.

• ​Use the inverse operation to accomplish this.

• ​State the property used for each step.

​One - Step Equations - With fractions

• ​The goal is to get the variable by itself on one side of the = sign.

• ​Use the inverse operation to accomplish this.

• ​To cancel out a fraction, multiply by its reciprocal (flip it)

​One - Step Equations - With fractions

• ​The goal is to get the variable by itself on one side of the = sign.

• ​Use the inverse operation to accomplish this.

• ​To cancel out a fraction, multiply by its reciprocal (flip it)

Multiple Choice

Solve for m:

$$\frac{4}{5}m=\frac{1}{2}$$  

• 5/8

• 8/5

• 5/2

• 80

two-step equations

• ​Undo the Addition/Subtraction (to remove constant term)

• ​Undo the Multiplication/Division (to remove coefficient) leaving only the variable by itself on one side of the = sign.

two-step equations

• ​Undo the Addition/Subtraction (to remove constant term)

• ​Undo the Multiplication/Division (to remove coefficient) leaving only the variable by itself on one side of the = sign.

two-step equations-With fractions

• ​Undo the Addition/Subtraction (to remove constant term)

• ​Undo Fraction (multiply by reciprocal) leaving only the variable by itself.

• ​Don't forget to justify each step!

two-step equations-With fractions

• ​Undo the Addition/Subtraction (to remove constant term)

• ​Undo Fraction (multiply by reciprocal) leaving only the variable by itself.

• ​Don't forget to justify each step!

two-step equations-With fractions

• These examples are different because the numerator (top) has 2 terms being divided by one number in the denominator (bottom).

• Cancel out the denominator FIRST by multiplying both sides by the denominator. (The numerator will not change)

two-step equations-With fractions

• These examples are different because the numerator (top) has 2 terms being divided by one number in the denominator (bottom).

• Cancel out the denominator FIRST by multiplying both sides by the denominator. (The numerator will not change)