Vocabulary
What is a variable?
An unknown number represented by a letter!
In 53 what number is the base and what number is the exponent?
5 is the base and 3 is the exponent.
Write expressions for the following:
3 less than the quotient of a number and 6.
3 minus the quotient of a number and 6.
How are they different?
x / 6 - 3
3 - x / 6
You're taking 3 away from the quotient of x and 6 in the first expression and subtracting the quotient of x and 6 from 3 in the second expression.
Evaluate 4p - 9 when p = 8
23
What is PEMDAS used for?
Order of operations...
What is an expression?
A mathematical statement using only numbers and symbols (operation signs).
Write 3 x 3 x 3 x 3 in exponential form and solve.
34 = 81
The sum of 4 and 3 multiplied by the quotient of 4 and 2.
(4 + 3) x (4 / 2)
Evaluate a2 - 10 + 2b when a = 5 and b = 2
19
What do all of the letters in PEMDAS stand for?
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
What is a coefficient?
The number in front of ("connected to") a variable or term.
What is (3/4)2?
9/16
Twice the difference of a number and 7.
2(x - 7)
Evaluate (m/2) - 12 when m = 20
**Your answer will be negative.
-2
In the expression: 4 x 4 - 8 + (3 + 2)
What do you do first? What do you do second?
Parentheses, then multiply...
What is a term?
A known number, a variable, or the product of a known number and a variable.
The length, width, and height of a square is 7 feet. What is its volume?
343 cubic feet.
Blakes age is 8 years less than 4 times his sister's age. Write an expression to find Blake's age.
4x - 8
What is the value of 9(n + 2) - 5n when n equals 1/4?
a) 3
b) 10
c) 9
d) 19
d) 19
When you have a number next to a variable, what operation do you do with the number and variable?
Example: 6y
Multiply the number and variable...
Example: 6 times y
What is a constant?
A term that is a known number without any variables.
What is 10 x 123?
17,280
Anna is 2 years younger than 1/3 of her aunts age. Write and expression to find Anna's age.
1/3x - 2
Evaluate 5(x/2) - 3y when x = 4 and y = 1/3
9
Explain how would you solve the expression:
3 + 2 + 5 - 4 + 10 + 11 - 8 - 7 - 1
You would solve from left to right.