2. 2
+ 5
4
Come up with as many solutions as you
can for this equation.
3. ALGEBRA – the branch of math where
quantities (i.e. positive & negative numbers)
are represented by letters or symbols and
problems are solved in the form of equations.
EQUATION – a mathematical sentence that
shows equality. Equations always contain the
“=” symbol.
Example: 5Y = 20 + Y
4. VARIABLE – a symbol used to represent a
number. In algebra variables are often letters.
Example: n, x, y
EXPRESSION – a pattern for similar problems.
Expressions do not contain the “=” symbol.
Example: 3 + n
5. LIKE TERMS – a term where the variable is the
same.
Example:
Coefficient Variable
4x
“x” can stand for anything.
“x” = apples
Then 4x = 4 apples.
“x” = monkeys
Then 4x = 4 monkeys
9. Herman is in a spelling bee. Contestants get
3 points for every word they spell correctly.
Herman has 42 points. How many words has
he spelled correctly?
How can we turn this word problem into an
algebraic equation?
Let h represent the number of words Herman
spelled correctly.
Then the number of points is 3 times h or 3h.
Since Herman has 42 points, the algebraic
equation is…
10. 3h = 42
Now, we need to find out what h represents.
Lets use algebra tiles. We’ll show h as
16. How can we find out what is?
3h = 42
h = 14
Answer: Herman has spelled 14 words
correctly.
REWIND!!!!!!
17. Herman is in a spelling bee. Contestants get
3 points for every word they spell correctly.
Herman has 42 points. How many words has
he spelled correctly?
How can we turn this word problem into an
algebraic equation?
Let h represent the number of words Herman
spelled correctly.
Then the number of points is 3 times h or 3h.
Since Herman has 42 points, the algebraic
equation is…
18. 3h = 42
Now, we need to find out what h represents.
We find this by “isolating the variable”
We manipulate the equation until it’s in the
form h =
