Transcript Concepts 1.1

Bell Work
Evaluate the expression.
9/8/14
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 
Next Chapter
Chapter 2
Equations
Heading
4/2/2016
2.1A Solving One-Step Equations
(add + subtract)
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.
Notes
• Linear Equations
• the exponent of the variable(s) is one.
• variable is not in the denominator, inside a
square root symbol, or inside an absolute
value symbol.
Linear Equation
x  5  14
8  3x  4
x  5  2
Not a Linear Equation
x2  4  8
x  5 1
x 7
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
• Steps for Solving Linear Equations
1. Simplify both sides of the equation.
• Distribute and/or combine like terms.
2. Collect the variables to one side of the equation.
• Collect to the side with the greater variable.
3. Use inverse operations to isolate the variable.
• PEMDAS backwards.
• The Golden Rule (of Mathematics)
What you do to one side,
you must do to the other.
Notes
• Inverse Operations
= Inverse means opposite
The inverse of …
• addition is subtraction.
• subtraction is addition.
• multiplication is division.
• division is multiplication.
Notes
Solve the equation.
Ex.
Ex.
Ex.
x  4  3 What is the
x  8  2 What is thex   1  9
inverse?  8  8 inverse?
x  1  9
4 4
Check your
Check your
1 1
x7
x

6
answer!
answer!
x  10
Now you try.
Ex.
Ex.
Ex.
x 6 8
6 6
x  14
x  7  3
7 7
x4
x   7   4
x  7  4
7 7
x  11
Notes
Solve the equation.
Ex.
Ex.
Ex.
x  3  8 What is the
x  9  2 What is the
x  4  6
inverse?  9  9
inverse?  4  4
3 3
Check your
Check your
x5
x


7
x


10
answer!
answer!
Now you try.
Ex.
Ex.
x3  7
3 3
x4
Ex.
x 8  5
8 8
x  3
x  6  3
6 6
x  9
Notes
Solve the equation.
Ex.
Ex.
9  x  12 What is7the
 x 5
inverse?
9
9
5
5
Check your
x3
2  x
answer!
Ex.
What is 
the
2  8 x
inverse?
8 8
Check your
10  x
answer!
Now you try.
Ex.
Ex.
Ex.
5  x  9
5
5
x  4
13  x  6
6
7  x
6
4  12  x
 12  12
8 x
Summary
Write a summary about today’s lesson.
To solve equations involving addition or
subtraction just do the inverse operation. If the
___________
subtraction if the problem
problem has addition, do ___________,
addition If you ever have a double
has subtraction, do ________.
change change.
negative do leave, _______,
9/8
Ticket Out the Door
Complete the Ticket Out the Door without talking!!!!!
Put your NAME & class hour on the index card.
When finished, turn your index card face DOWN.
Solve the equation.
x9  2
Today’s Homework
Rules for Homework
1. Pencil ONLY.
2. Must show all of your work.
• NO WORK = NO CREDIT
3. Must attempt EVERY problem.
4. Always check your answers.
Homework 2.1A
Solve the equation.
1.
x3 7
2.
x7 5
3.
x  4  5
4.
x  5  13
5.
x  6  2
6.
x  4  7
7.
x   3   7
8.
x   4   1
9.
x   2   9
10.
x   2   4
11.
x   5    2
12.
x   7   11
13.
5  x  13
14.
8 x  3
15.
9  x  5