Bell Work 9/8/14Evaluate the expression.

1. 11 8 2. 3 6 3. 5 8

4. 3 4 5. 12 5 6. 8 14

7. 6 8 8. 12 7 9. 15 6

Chapter 2Equations

Next Chapter

Solving One-Step Equations (add + subtract)

04/19/23

Heading

TSWBAT: solve one-step equations using addition and subtraction.

Students solve multi-step problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step.

2.1A

• Linear Equations

Notes

• the exponent of the variable(s) is one.

Linear Equation Not a Linear Equation5 14x

8 3 4x 842 x

5 1x

5 2x 7x

• variable is not in the denominator, inside a square root symbol, or inside an absolute value symbol.

Notes• Solving Equations

• Goal: to get the variable by itself on one side of the equation. This is known as isolating the variable.

• This is also called solving (to solve) an equation.

• When we solve an equation, we find the value that makes the equation TRUE, called the solution.

Notes

What you do to one side, you must do to the other.

• The Golden Rule (of Mathematics)

1. Simplify both sides of the equation.

2. Collect the variables to one side of the equation.

• Steps for Solving Linear Equations

3. Use inverse operations to isolate the variable.

• Distribute and/or combine like terms.

• Collect to the side with the greater variable.

• PEMDAS backwards.

Notes• Inverse Operations

= Inverse means opposite

The inverse of …

• addition is subtraction.

• subtraction is addition.

• multiplication is division.• division is multiplication.

NotesSolve the equation.

What is the inverse?

Check your answer!

Now you try.

Ex.4 3x 4 4

7x

What is the inverse?

Check your answer!

Ex.8 2x 8 8

6x

Ex. 1 9x

1 1

10x

Ex.6 8x 6 6

14x

Ex.7 3x 7 7

4x

x 1 9

Ex. 7 4x

7 7

11x

x 7 4

NotesSolve the equation.

What is the inverse?

Check your answer!

Now you try.

Ex.3 8x 3 3

5x

What is the inverse?

Check your answer!

Ex.9 2x 9 9

7x

Ex.4 6x 4 4

10x

Ex.3 7x 3 3

4x

Ex.8 5x 8 8

3x

Ex.6 3x 6 6

9x

NotesSolve the equation.

What is the inverse?

Check your answer!

Now you try.

Ex.9 12x 9 9

3x

What is the inverse?

Check your answer!

Ex.7 5x 5 5

2 x

Ex.2 8 x 8 8

10 x

Ex.5 9x 5 5

4x

Ex.13 6x 6 6

7 x

Ex.4 12 x

12 12

8 x

Summary

Write a summary about today’s lesson.

To solve equations involving addition or ___________ just do the inverse operation. If the problem has addition, do ___________, if the problem has subtraction, do ________. If you ever have a double negative do leave, _______, change.

subtractionsubtraction

additionchange

Complete the Ticket Out the Door without talking!!!!!

9/8 Ticket Out the Door

Put your NAME & class hour on the index card.

When finished, turn your index card face DOWN.

Solve the equation.

9 2x

Today’s Homework

1. Pencil ONLY.2. Must show all of your work.

• NO WORK = NO CREDIT3. Must attempt EVERY problem.4. Always check your answers.

Rules for Homework

Homework 2.1ASolve the equation.

1. 3 7

4. 5 13

7. 3 7

10. 2 4

13. 5 13

x

x

x

x

x

2. 7 5

5. 6 2

8. 4 1

11. 5 2

14. 8 3

x

x

x

x

x

3. 4 5

6. 4 7

9. 2 9

12. 7 11

15. 9 5

x

x

x

x

x