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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
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