ACED1 Create equations and inequalities in one variable and use them to solve problems Include equations arising from linear and exponential factors SWBAT create a single variable equation ID: 739546
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Slide1
Lesson 6: Creating Single Variable Equations and Inequalities
A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and exponential factors.
SWBAT create a single variable equationSlide2
EQUATIONS AND INEQUALITIES are used to represent a quantity that we want to end up with and the parts that we combine to get it.Slide3
Important Vocabulary
Equation
: a mathematical sentence that uses an equal sign (=) to show that two quantities are equal
Inequality
: a mathematical sentence that shows the relationship between quantities (That one quantity is either greater than or less than the other)
Quantity
: something that can be compared by assigning a numerical value
Solution
: a value that makes the equation true
Variable
: a letter used to represent a value or unknown quantity that can change or varySlide4
Equations/Inequalities
1. Five times the sum of a number and two is thirty-five.
2. Twelve subtracted from three times a number is less than fifteen.
3. Twice a number added to seven is greater than thirteen.
4. The sum of a number added to it self is at least 126.
5. When 6 is added to four times a number, the result is 50. Slide5
Example 1
You are trying to save $20 a week to buy a new CD player. During the last 4 weeks you have saved $35, $15, $10, and $12. How much do you need to save this week to average $20 for the 5 weeks?Slide6
Example 2
On an algebra test, the highest grade was 42 points higher than the lowest grade. The sum of the two grades was 138.Slide7
Example 3
Brianna has saved $600 to buy a new TV. The TV she wants costs $1,800 and she saves $20 a week. Write an equation that represents the how the money she makes and has saved can combine to the cost of the TV. Slide8
Guided Practice
1.
JaQuandon
has 5 of the newest
mixtapes
from Datpiff.com. Regis has 3 less than twice the number of
mixtapes
that
JaQuandon
has. Write an equation the demonstrates the relationship between the number of
mixtapes
JaQuandon
and Regis have.Slide9
Guided Practice 2
The width of a rectangle is 8 inches more than the length. The perimeter is 32. Slide10
Guided Practice 3
The sum of 3 consecutive integers is 159. After creating the equation, can you find the 3 numbers?Slide11
Independent PracticeSlide12
Ticket out the Door
Six time the difference of 5 times a number and 10.
Jenny has 4 more than twice as much as cookies as Carry.Slide13
Lesson 6 part 2
A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and exponential factors.
SWBAT create a single variable inequality Slide14
Inequalities
Less than <
Less
than or equal to ≤
Greater than >
Greater than or equal to ≥
Fewer than
Below
Less than
Smaller
than
No more than
Not above
Does not exceed
At most
Maximum
More
than
Exceeding
Above
Bigger
than
At least
No fewer than
Not under
No less than
MinimumSlide15
Quick Check!
1. A number is no more than 5
2. Clark has at least 8 hats
3. Marcus exceeded his saving of $200
4. Tony borrowed fewer than 30 pencils Slide16
Example 1
Antara
has $500 in a savings account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week. Slide17
Example 2
Keisha
charges a $1.75 flat rate to braid hair in addition to $0.65 per braid.
Lanoria
has no more than $10 to spend. How many braids can she get?Slide18
Guided Practice 1
Jessica
wants to order some
dvds
from Amazon. Each
dvd
costs $15.99 and shipping for the entire order is $9.99. Jessica can spend no more than $100.Slide19
Guided Practice 2
The
bowling alley charges a flat rate of $50 for a birthday party plus $5.50 for each person. Destiny can’t spend more than $100. Slide20
Ticket Out the Door
The
sum of 3 consecutive numbers is 33. Write an
equation
to represent the situation.
Laquacious
received an 82 on her first test and a 76 on her second test. Write an equation that could be used to figure out the score will she need to make on her third test in order to have a test average of 80.
Cedrick’s
mom told him that he could spend no more than $50 at the mall. He purchased a t-shirt for $20 and would like to purchase some new snap backs. If a snap back costs $9, write an equation or an inequality for the number of snap backs that
Cedrick
can buy.