2.1 Solving One Step Equations Objective: Solve equations using addition and subtraction. Discuss: 2...

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2.1 Solving One Step Equations Objective: Solve equations using addition and subtraction. Discuss: 2 = 2. What if I add 3 to both sides?

Transcript of 2.1 Solving One Step Equations Objective: Solve equations using addition and subtraction. Discuss: 2...

Page 1: 2.1 Solving One Step Equations Objective: Solve equations using addition and subtraction. Discuss: 2 = 2. What if I add 3 to both sides?

2.1 Solving One Step Equations

Objective: Solve equations using addition and subtraction.

Discuss: 2 = 2. What if I add 3 to both sides?

Page 2: 2.1 Solving One Step Equations Objective: Solve equations using addition and subtraction. Discuss: 2 = 2. What if I add 3 to both sides?

2.1 Solving One Step Equations

Remember: Adding or subtracting ANY number to BOTH Sides does not change the equation.

Remember: ADDING undoes SUBTRACTION

Remember: SUBTRACTING undoes ADDITION

Page 3: 2.1 Solving One Step Equations Objective: Solve equations using addition and subtraction. Discuss: 2 = 2. What if I add 3 to both sides?

2.1 Solving One Step Equations

SIMPLIFY: Combine like terms and/or distribute on the left and right if NEEDED.

SORT: variables on one side, numbers on the other

SOLVE: isolate the variable, must be a single POSITIVE variable.

Page 4: 2.1 Solving One Step Equations Objective: Solve equations using addition and subtraction. Discuss: 2 = 2. What if I add 3 to both sides?

2.1 Solving One Step Equations

GOAL: ISOLATE the variable.

That means get it by itself on one side with numbers and/or other variables on the other side.

Whatever I do unto one side of the equals sign; do unto the other.

To do this, follow the GOLDEN RULE of Equation Solving

Page 5: 2.1 Solving One Step Equations Objective: Solve equations using addition and subtraction. Discuss: 2 = 2. What if I add 3 to both sides?

Practice with Examples

Example 1: Solve x + 13 = 27

Always Check The Solution with Substitution!

Page 6: 2.1 Solving One Step Equations Objective: Solve equations using addition and subtraction. Discuss: 2 = 2. What if I add 3 to both sides?

Practice with Examples

Example 2: Solve - 7 = b - 37

Always Check The Solution with Substitution!

Page 7: 2.1 Solving One Step Equations Objective: Solve equations using addition and subtraction. Discuss: 2 = 2. What if I add 3 to both sides?

Practice with Examples

Example 3: Solve 4x= 6.4

Always Check The Solution with Substitution!

Page 8: 2.1 Solving One Step Equations Objective: Solve equations using addition and subtraction. Discuss: 2 = 2. What if I add 3 to both sides?

Practice with Examples

Page 9: 2.1 Solving One Step Equations Objective: Solve equations using addition and subtraction. Discuss: 2 = 2. What if I add 3 to both sides?

Practice with Examples

Page 10: 2.1 Solving One Step Equations Objective: Solve equations using addition and subtraction. Discuss: 2 = 2. What if I add 3 to both sides?

Practice with Examples

Example 6: p. 84 in book

Always Check The Solution with Substitution!

Page 11: 2.1 Solving One Step Equations Objective: Solve equations using addition and subtraction. Discuss: 2 = 2. What if I add 3 to both sides?

Section 2.1 Homework

Homework P. 85 10 – 48 even.