Evaluating Expressions 04:03 minutes
Transcript Evaluating Expressions
Let me tell you a story about evaluating expressions…
Once upon a time
"Once upon a time, there lived a girl in a tower
She was there every day, hour after hour."
"Her name was RapPunzel,
a mischievious damsel,
whose hair was a handful"
"The love of her life, Prince MC,
was in love with RapPunzel... as in love as can be.
They waited for the day and waited for the time
when the prince could scale the tower with a short little climb."
"But he's tired of waiting, what a waste of days.
He should evaluate expressions but he doesn't know the way"
Let's help MC Prince. At the start of this tale, RapPunzel’s hair is 50 inches long. Each month, it grows 5 inches." Let’s write this as an expression… 50 is the constant number in this expression, meaning it does not change. We said before that her hair grows at a rate of 5 inches per month. The number of months is the unknown quantity, which we will call x. We can also use any other variable.
Expression for the length of RapPunzel's hair
The number five is the coefficient of the variable. So… the expression to describe the length of RapPunzel's hair after a variable number of months is 5x + 50. Ok, let's use our expression to evaluate the length of RapPunzel's glorious hair over a period of a few months. Let’s set up a function table… When evaluating expressions, always remember to use the correct order of operations.
Calculation of further growth
After 1 month, the length of her hair is equal to 5(1) + 50, for a total length of 55 inches. After 2 months, the length is 2(5) + 50, which equals 60. Let’s fill in the table... OMG, after 6 months, RapPunzel’s hair is a staggering 80 inches long! But, disaster struck and RapPunzel discovered that her glorious hair was not so glorious after all ...  it was full of split ends. (Pause). Impulsively, ....
... she cut her hair. Now it's just 10 inches long. To keep her hair healthy, RapPunzel must trim her hair two inches every month. Despondent, MC Prince wondered, how much longer must he wait to be with his beloved? Let's modify our expression. 5x for the growth per month minus 2x for the trimming per month plus ten for the starting length.
Insert the right numbers
Now, simplify the expression. 3x + 10. MC Prince wondered, '...after six more months, how long will her hair be?...' Evaluate the expression, this time, letting x equal six… use the correct order of operations, 3(6) = 18; plus ten it is equal to twentyeight. Her hair will only be twentyeight inches long!
"Still waiting outside, MC Prince began to doubt
without Rapunzel in his life, he's like a plant in a drought
he had an idea, on which he was keen"
what's this? OH NO...he bought magic beans...

Variables

Simplifying Variable Expressions

Evaluating Expressions

Order of Operations

Distributive Property

Adding Integers

Subtracting Integers

Multiplying and Dividing Integers

Types of Numbers

Transforming Terminating Decimals to Fractions and Vice Versa

Transforming Simple Repeating Decimals to Fractions and Vice Versa

Rational Numbers on the Number Line
Yeaaaah paaaaaad
if you need to get rid of the coefficient as in 0.5x it is best to divide. so divide both sides by 0.5 and that will give you the answer.