Transcript Algebra Jeoprady algebra_jeopardy

Algebra Jeopardy
Distributive
Property
Order Of
Operations
Evaluate
Algebraic Expr.
Exponents
Diagraming
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Category
Distributive Property
What does “distributive property” mean?
Category
Distributive Property
When adding or subtracting to find
sums or differences, you distribute or
pull common factors from equivalent
terms.
Category
Distributive Property
explain why ac + bc = ( a + b )c
Category
Distributive Property
ac + bc = ( a + b )c
is equal because you are distributing the “c”
to both the “a” and the “b”
Category
Distributive Property
63 and 56
pull out the greatest common factor (GCF)
for these two products
Category
Distributive Property
63 and 56
to find the GCF for each product, multiply
9 X 7 (= 63) and 8 X 7 (=56)
7 is the common factor that is the largest
or greatest, the GCF
Category
Distributive Property
24x + 18y
find the GCF in these expressions
Category
Distributive Property
24x + 18y
6 is the GCF of both 24 and 18
(6 ∙ 4)X + (6 ∙ 3)y
Category
Distributive Property
24x + 18y
Turn the above expression into a story
problem answer with the GCF being the
number of items per bag. “X” is apples and
“y” is oranges. Mrs. Bauman is shopping at
Safeway – how many bags of apples and
oranges does she buy?
Category
Distributive Property
24x + 18y
Mr. Bauman went to Safeway and bought
apples “x” and oranges “y” in bags. Each
bag had 6 apples or oranges in them.
24 ÷6 = 4 apples and 18 ÷6 = 3 oranges
She bought 4 bags of apples and 3 bags of
oranges.
Category
Order of Operations
When someone says, “Use the Order of
Operations” when solving algebraic expressions,
what are you to do?
Category
Order of Operations
Step 1
solve all operations inside parentheses/exponents
Step 2
multiply and divide from left to right
Step 3
add and subtract from left to right
Category
Order of Operations
solve this expression by using the Order of
Operations:
36 – ( 2 + 9 ) ∙ 3
Category
Order of Operations
Step 1
36 – ( 2 + 9 ) ∙ 3
( 11 )
Step 2
36 – 11 ∙ 3
33
Step 3
36 – 33 = 3
Category
Order of Operations
solve this expression by using the Order of
Operations:
2∙a + 4∙b
when
a=3
b=6
Category
Order of Operations
Step 1: do parenthesis - none
2∙a + 4∙b
Step 2: replace “a/b” values – multiply L to R
2∙3+4∙6
6 + 24
Step 3: add from L to R
6 + 24 = 30
Category
Order of Operations
solve this expression by using the Order of
Operations:
3y ∙ 3 + 42 + y + 5 ∙ 2
Category
Order of Operations
Step 1: do parenthesis – none/exponent
3y ∙ 3 + 42 + y + 5 ∙ 2
42 = 4 ∙ 4 = 8
Step 2: multiply L to R
3y ∙ 3 + 42 + y + 5 ∙ 2
3y ∙ 3 = 9y
5 ∙ 2 = 10
Step 3: add from L to R
9y + 8 + y + 10 = (9y + y) + (8 + 10) = 10y + 18
Category
Order of Operations
Explain your Order of Operations strategy to
solve:
x + 2x + 3x + (7-1)2
Category
Order of Operations
x + 2x + 3x + (7-1)2
Step 1: calculate parenthesis first
subtract (7-1) = (6)2
Step 2: multiply exponent second
multiply (6)2 = 6 ∙ 6 = 36
Step 3: add expression values from L to R
re write expression and add like values
x + 2x + 3x + 36 = 6x + 36
Category
Evaluate Algebraic Expression
What is the definition of variable?
Category
Evaluate Algebraic Expression
A variable is a letter or symbol used to
represent an unknown number or quantity
that is varied.
Category
Evaluate Algebraic Expression
What is the definition of algebraic expression?
Category
Evaluate Algebraic Expression
A algebraic expression a combination of one
or more numbers and letters.
Category
Evaluate Algebraic Expression
evaluate the expression 4x – 6 when x = 3
Category
Evaluate Algebraic Expression
When x = 3 in the expression 4x – 6 , then
4∙3 – 6 = 12 – 6 = 6
Category
Evaluate Algebraic Expression
simplify the expression
2(3x) + 4 + (5x)4 + 1
Category
Evaluate Algebraic Expression
2(3x) + 4 + (5x)4 + 1 = 6x + 4 + 20x + 1
= 6x + 20x + 4 + 1
= 26x + 5
Category
Evaluate Algebraic Expression
define co-efficient, then identify them at
each stage of solving the expression below
2(3x) + 4 + (5x)4 + 1
Category
Evaluate Algebraic Expression
a coefficient is the number that is combined
with a variable (letter) in an expression
2(3x) + 4 + (5x)4 + 1 = 6x + 4 + 20x + 1
= 6x + 20x + 4 + 1
= 26x + 5
Category
Exponents
What is the definition of exponent?
Category
Exponents
An exponent is the small raised number that
tells how many times the base number is
used as a multiplication factor.
Category
Exponents
What is the power of the expression 6 2 ?
Then solve 6 2 .
Category
Exponents
The power of the expression 6 2 is the small
raised 2.
6 2 is 6 ∙ 6 = 36
Category
Exponents
Why does not 5 5 equal 25?
Category
Exponents
The multiplication power of 5 in 5 5 means
5∙5∙5∙5∙5
5 ∙ 5 = 25 ∙ 5 = 125 ∙ 5 = 625 ∙ 5 = 3,125
Category
Exponents
What is the answer to 6 2 + 3 2 ?
Category
Exponents
6 2 + 3 2 = (6 ∙ 6) + (3 ∙ 3)
= 36 + 9
= 45
Category
Exponents
explain why: 6 8 does not equal 6 ∙ 8
Category
Exponents
6 8 does not equal 6 ∙ 8 because:
the exponent 8 means to multiply the
product of 6 times 6 eight times
6 ∙ 6 ∙ 6 ∙ 6 ∙ 6 ∙ 6 ∙ 6 ∙ 6 = 1,679,616
6 ∙ 8 = 48
48 does not equal 1,679,616
Category
Diagraming
What is the definition of diagram?
Category
Diagraming
The definition of diagram is:
a picture or drawing that represents an
algebraic expression.
Category
Diagraming
diagram the expression
2a + 3 + a + 4
Category
Diagraming
2a +
3 + a + 4
3
4
equals
3
4
Category
Diagraming
diagram the expression
x+y+2+x+x+y+1
Category
Diagraming
x + y+ 2 + x + x + y + 1
X
Y
2
X
X
Y
1
equals
X
X
X
Y
Y
2 1
Category
Diagraming
diagram the expression
5c + 2c = (5 + 2)c
Category
Diagraming
5c + 2c = (5 + 2)c
C
C
C
C
C
+
C
C
equals
(
)c
Category
Diagraming
There are “a” trucks.
There are “b” boxes in each truck.
There are “c” soccer balls in each box.
How would you diagram this problem if you
had 5 soccer balls per box, 4 boxes per
truck, and 3 trucks hauling soccer balls?
Category
Diagraming