Concepts 1.1
Download
Report
Transcript Concepts 1.1
Bell Work
9/9/14
Solve the equation.
1.
x 5 12
2.
x6 4
3.
x 5 4
4.
x 3 8
5.
x 7 3
6.
x 5 7
7.
9 x 3
8.
7 x2
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
4/12/2016
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
x5
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.
9 x 63
9
9
x7
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
12
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
x6
3
10.
2
4 x
3
2.
4 x 20
5.
x
8
3
8.
1
x7
4
11.
5
x 10
3
3.
63 7 x
6.
x
8
5
9.
1
x 7
6
12.
4
x 12
5