RiDdLe TiMe:
What is always in front of you, but can't be seen
Your future
What is a variable
a letter or unknown value (place holder)
x + 2 = 5
x = 3
If I have a letter next to a number and no math operation. What operation is being used?
Ex. 8n or 8(4)
Multiplication
Add the following:
123.63 + 74.12
=197.75
Write the following number in expanded form and circle the number in the hundred's place
54,302,473
50,000,000 + 4,000,000 + 300,000 + 2,000 + 400 + 70 + 3
What is balance in an equation
When each side of the equals sign (when simplified) is the same:
Ex. 7+2 = 8+1
7 * x = 56
x = 8
Write an algebraic equation using 56 as the answer
Any equation that uses a variable and equals 56.
82.7 - 3.45
=79.25
82.7
- 3.45
Integers
Solve the following:
24 - 52
= -28
What does it mean to isolate a number
to remove everything on that side of the equals sign to leave it by itself
Ex: 6+4 = 8 - 1
Isolate 6 -> 6 = 8 - 1 - 4
8n = 64
n = 8
Is the following an equation or an expression?
8x + 32
Expression
(No Equals Sign)
Multiply the following:
8.1 x 3
=24.3
8.1
x 3
-337 + -782
-1,119
What is the inverse of the following operations:
Multiplication ->
Addition ->
Division ->
Subtraction ->
Multiplication -> Division
Addition -> Subtraction
Division -> Multiplication
Subtraction -> Addition
51/x = 3
x = 17
Write the following in a numeric expression:
eight more than b
b + 8
Multiply the following:
4.5 x 12.1
=54.45
12.1
x 4.5
Expand and solve the following:
56
5 * 5 * 5 * 5 * 5 * 5 = 15,625
What is substitution in algebraic problems?
taking the variable out and replacing it with another value
ex: if x = 3 then 4+ x = 10 - x changes to
4 + 3 = 10 - 3
Using substituation, if d = 7, a = 3, and n = 4, simplify the following equation and tell me if the equation is true.
d + 2a - 6n = n - 15
True because
d + 2a - 6n = n - 15
7 +2(3) - 6(4) = 4-15
7+6-24 = -11
13-24 = -11
-11 = -11
If x = 5 and b = 2, using substitution, solve the following equation:
8x + 10(3+b) =
=85
8(5) + 10(3+2)
Divide the following:
30.2 / 2
=15.1
2|30.2