Download Concepts 1.1

Bell Work
9/9/14
Solve the equation.
1.
x  5  12
2.
x6 4
3.
x  5  4
4.
x 3  8
5.
x  7  3
6.
x  5  7
7.
9 x 3
8.
7  x2
9.
4 7 x
Yesterday’s Homework
1. Any questions?
2. Please pass your homework to the front.
• Make sure the correct heading is on your paper.
• Is your NAME on your paper?
• Make sure the homework is 100% complete.
• Incomplete work will NOT be accepted.
Heading
5/6/2017
Solving
One-Step
Equations
2.1B
(multiply + divide)
TSWBAT: solve one-step equations
using multiplication and division.
Students solve multi-step problems, including word
problems, involving linear equations and linear
inequalities in one variable and provide
justification for each step.
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
Solve the equation.
Ex.
Ex.
4x  20
4
2x  16
2
4
x 5
Ex.
42  7x
2
7 7
6 x
x  8
Now you try.
Ex.
5x  35
5
5
x  7
Ex.
80  8x
8
8
10  x
Ex.
9x  63
9
9
x7
Notes
Solve the equation.
Ex.
x
 4  6  4
4
x  24
Ex.
x
 2  8 2
2
x  16
Ex.
x
 3 10   3
3
30  x
Now you try.
Ex.
x
 6 9   6
6
54  x
Ex.
x
8  7 8
8
x  56
Ex.
x
 9  8 9
9
x  72
Notes
• Multiplying Fractions Review
Ex.
2 4 2 4 8


5 3 5 3 15
Ex.
4 3 4 3 12 2 6



5 2 5 2 10 2 5
Ex.
7 4 7

4 5 5
Just multiply the
tops together and
the bottoms
together.
You can reduce
this.
Notes
• Reciprocal
= Two numbers are reciprocals if their product is 1.
a
b
= If is a nonzero number, than its reciprocal is .
b
a
Find the reciprocal.
Ex.
3
4
Ex.
Ex.
4
3
7
5
5
7
Ex.
Ex.
1
2
2
1
3

8
8

3
Ex.
4
1

4
7
1
7
Notes
Solve the equation.
Ex.
 3 2
3
 3 x  8  
2
12
24
x
x  12
2
Ex.
 4 1
 4
   4 x  3   
 1
1 1
x  12
Now you try.
Ex.
Ex.
 3  1 x  2  3 
 3
 
1
 
1 1
x  6
 3  4 x  12  3 


  3
4

 4
1
36
x
4
x  9
Summary
Write a summary about today’s lesson.
To solve a one-step equation involving
division just do the inverse. If its
multiplication or _______
divide by the same number and vice
multiplication, ______
versa. Sometimes you have to multiply by the
reciprocal if there are fractions.
_________
Ticket Out the Door
Complete the Ticket Out the Door without talking!!!!!
Talking = time after the bell!
Put your NAME on the paper.
When finished, turn your paper face DOWN.
Solve the equation.
2
x  10
3
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 2.1B
Solve the equation.
1.
3x  12
4.
x
5
2
7.
1
x6
3
10.
2
4 x
3
2.
 4 x  20
5.
x
8
3
8.
1
 x7
4
11.
5
x  10
3
3.
 63  7 x
6.
x
 8
5
9.
1
 x  7
6
12.
4
 x  12
5