Variables
What is a variable?
A letter used to stand for an unknown number.
Also accepted: x, y, d, c, so on and so forth....
What is the biggest difference between an expression and an equation?
An equation has an equal sign (=), but an expression does not.
Can equations be solved?
Yes, because there is an equal sign (=)
In the EXPRESSION: 7x + 3
Which TERM is the coefficient?
7
Not 7x - The answer is 7 because if something is a coefficient we know it will have a variable attached.
How many letter are in the alphabet if you say it backwards?
26 Letters
What is the most common variable used in math?
The letter x
Identify the EXPRESSION
A. 5x + 3
B. 5x + 3 = 18
C. 5x3 = 40
The EXPRESSION is A. 5x + 3
Because there is NO EQUAL SIGN
Equation has the same four first letters as?
EQUAL
How is a CONSTANT different from a COEFFICIENT?
A CONSTANT is a standalone number.
A COEFFICIENT is the number attached to the variable.
Honeybees are mathematical geniuses; they build their hives out of this specific 6-sided geometric shape because it perfectly holds the most honey without wasting space.
Hexagon
n + 5= 10
What does n equal?
n= 5
Check your work: 5 + 5= 10
Write your own EXPRESSION... GO!
Mrs. Goodell will decide if you get the points :)
When you are solving an EXPRESSION that has a variable on the left and a answer on the right of the equal sign, what is the MAIN GOAL?
Example: 2x + 10 = 18
Get x alone
In EXPRESSION: 16d + 50
Which TERM is the constant?
50 because it is NOT attached to a variable
How many is in a Baker's Dozen?
13
Historically, bakers added an extra loaf to a dozen to ensure they didn't accidentally shortchange customers on total bread weight.
If x= 5
Solve: 2x + 15
Answer: 2(5) + 15 = 25
Do you solve or simplify EXPRESSIONS?
You can simplify an EXPRESSION but you CANNOT SOLVE because there is NO EQUAL SIGN.
Write your own EQUATION... GO
Mrs. Goodell will decide if you get the points :)
Can EXPRESSIONS and EQUATIONS both have coefficients and constants?
Explain.
Expressions and Equations can have both coefficients and constants BUT it does not ALWAYS happen.
You are driving a city bus. At the first stop, 5 passengers get on. At the second stop, 3 passengers get off and 2 get on. When you finally reach the final destination, what color are the bus driver's eyes?
What are the color of your eyes? You are the one driving the bus.
A box of dog treats costs $8. If you buy (b) boxes, the total cost is $24. Write an equation to show this setup.
Answer: 8b = 24
Who sings the hit single "Express Yourself" that came out in 1989
Lyrics as followed...
"Don't go for second best, baby
Put your love to the test"
Madonna
Solve for x in the following EQUATION:
2x + 50 = 250
x= ?
x= 100
2x + 50 = 250
-50 -50
2x = 200
200 / 2
x = 100
Can an EQUATION have more than one constant?
Yes
Examples:
2x + 3 = 11 (Constants: 3 & 11)
5x + 4 + 2 = 16 (Constants: 4, 2, & 16)
*FUN FACT* A constant can be found on EITHER side of the equal sign
Gen Z is years 1997 to 2012
What generation starts in 2012 and goes to 2025
Generation Alpha