The inverse operation of addition is ____________. The inverse operation of division is ____________.
subtraction; multiplication
2(x + 5) = 14
x = 2
Solve and graph: 10p - 18 ≤ 2
p ≤ 2
*Graph on board*
Write and solve an equation: Kaylee is 3 years older than her sister. Kaylee's age is 11 years old. How old is her sister?
n + 3 = 11
n = 8
Julie's sister is 8 years old.
This is the factor version of the expression 5x + 35
What is 5 (x +7) ?
What is your first step besides drawing a line down the equal sign? Be specific
3x + 2 = 14
SUBTRACT 2 ON BOTH SIDES
Name the four symbols that can be found in an inequality.
less than, greater than, less than or equal to, greater than or equal to
7(4 - t) = -84
t = 16
Solve and graph: 2(6x - 5) < 14
x < 2
*Graph on board*
Write, solve, and graph an inequality. Bella earns $7.50 per hour on the weekends babysitting. How many hours will she need to babysit to earn at least $120?
7.50x ≥ 120
x ≥ 16
Bella must babysit for at least 16 hours.
*Graph shown on the board*
This is the factor version of the expression 10c + 25.
What is 5 (2c + 5) ?
What does Mrs. Cook say or do often?
May the best group win
The letter in an equation or inequality is called a _______________.
Variable
-3x - 13.7 = 7.3
x = -7
Solve and graph: 5(a + 4) ≥ 10
-2 ≤ a
*Graph on board*
Write and solve an equation: Tyler has 4 boxes of apples. Each box has the same number of apples. After Tyler eats 3 apples, there are 109 apples left in the boxes. How many apples were in each box?
4x - 3 = 109
b = 28
There were 28 apples in each box.
This is the factor version of the expression 4v - 30.
What is 2 (2v - 15) ?
What do you do after you divide by -52?
-52x + 5 > 15
FLIP THE SIGN!!
Isolate
Solve and graph: -1/2 (8x - 32) ≥ -4
x < 5
*Graph on board*
Write and solve an equation: Ms. Hutter goes to the grocery store and purchases 17 bags of raisins and a $2.97 jar of peanut butter. Her total cost was $34.76. What was the cost for a bag of raisins?
17r + 2.97 = 34.76
r = 1.87 Each bag of raisins cost $1.87
This is the factor version of the expression 6w + 39
What is 3 (2w + 13) ?
Name this character, be SPECIFIC
BABY YODA
What are the differences between equations and inequalities?
Equations have one solution; inequalities have a solution set
Equations have one sign (equal sign); inequalities have multiple signs
An equation is a relationship between two expressions that are equal; an inequality is a relationship between two expressions that are NOT equal
2(4x - 3) = -22
x = -2
Solve and graph: 0.8(15x + 45) ≥ -6x
x ≥ -2
*graph on board*
Write, solve, and graph an inequality. Carter has $100. He wants to buy a book for $20 and some CDs for $15 each. At most, how many CDs can Carter buy?
20 + 15c < 100
c < 5
*Graph on board*
This is the factor version of the expression 12n - 42.
What is 6 (2n - 7) ?
WHO STOLE CHRISTMAS?