Transcript Factor the expression. - Ridgefield Public Schools

Chapter 5 Expressions
Algebraic
Expressions
Sequences
Properties
Of
Operations
Simplify
Algebraic
Expressions
Final J e o p a r d y
Add and
Subtract
Linear
Expressions
Factor
Linear
Expressions
Algebraic
Category
1
Expressions
30 sec.
Evaluate each expression if
w = 6, x = 5, y = 4, and z = 3.
2z
6
GAME BOARD
Algebraic
Expressions
30 sec.
Evaluate each expression if
w = 6, x = 5, y = 4, and z = 3.
9-w
3
GAME BOARD
Algebraic
Category
1
Expressions
45 sec.
Evaluate each expression if
w = 6, x = 5, y = 4, and z = 3.
3 + 4x
23
GAME BOARD
Algebraic
Category
1
Expressions
Evaluate each expression if
m = 9, n = 7, and p = 3.
m
3
2
1 min.
27
GAME BOARD
Algebraic
Category
1
Expressions
2 min.
Evaluate each expression if
m = 9, n = 7, and p = 3.
2.5p + 2.5
5
2
GAME BOARD
Sequences
Describe the relationship between the
terms in the arithmetic sequence.
0, 7, 14, 21, …
30 sec.
+7
GAME BOARD
Sequences
Describe the relationship between the
terms in the arithmetic sequence.
2, 5, 8, 11, …
30 sec.
+3
GAME BOARD
Sequences
Describe the relationship between the
terms in the arithmetic sequence.
0.3, 0.6, 0.9, 1.2, …
1 min.
+0.3
GAME BOARD
Sequences
Give the next three terms in each
sequence.
7, 12, 17, 22, …
1 min.
27, 32, 37
GAME BOARD
Sequences
The enrollment at Chase Middle School is
expected to increase by 60 students each
year for the next 5 years. If their current
enrollment is 530 students, find their
2 min.
enrollment after each of the next 5 years.
590, 650, 710, 770, 830
GAME BOARD
Properties
Of
Operations
Name the property shown by the
statement.
5× 4 = 4× 5
30 sec.
Commutative Property of
Multiplication
GAME BOARD
Properties
Of
Operations
Name the property shown by the
statement.
5 + (9 + 2) = (5 + 9) + 2
30 sec.
Associative Property of
Addition
GAME BOARD
Properties
Of
Operations
Use the Distributive Property to rewrite
the expression.
-7(8n - m)
1 min.
-56n + 7m
GAME BOARD
Properties
Of
Operations
1 min.
30 sec.
State whether the following conjecture is
true or false. If false, provide a
counterexample.
“The product of an odd number and an even
number is always odd.”
False
Student answers will vary
GAME BOARD
Properties
Of
Operations
Simplify the expression. Justify each step.
2d(3)
2 min.
2d(3) = 2(d ×3) = 2(3d) Associative Property of Multiplication
= (2 ×3)d
= 6d
GAME BOARD
Commutative Property of Multiplication
Simplify
Simplify
Algebraic
Expressions
1 min.
Identify the terms, like terms,
coefficients, and constants in the
expression.
5a + 2 - 7
terms: 5a, 2, -7; like terms: 2, -7;
coefficient: 5; constants: 2, -7
GAME BOARD
Simplify
Algebraic
Expressions
1 min.
Identify the terms, like terms,
coefficients, and constants in the
expression.
9k + 7 - k + 4
terms: 9k, 7, -k, 4;
like terms: 9k, -k; 7, 4;
coefficients: 9, -1;
GAME BOARD
constants: 7, 4
Simplify
Algebraic
Expressions
Write the expression in simplest form.
5h - 6 - 8 + 7h
1 min.
12h - 14
GAME BOARD
Simplify
Algebraic
Expressions
Write an expression in simplest form for
the perimeter of the figure.
1 min.
30 sec.
6a + 2
GAME BOARD
Simplify
Algebraic
Expressions
2 min.
The bicycle path at the park is a loop that covers a
distance of m miles. Mike biked 3 loops each on
Monday and Wednesday and 2 loops on Friday. On
Sunday, Mike biked 11 miles. Write an expression in
simplest form that represents the total distance
that Mike biked this week.
8m + 11 mi
GAME BOARD
Add and
Subtract
Linear
Expressions
Add.
(-7x +1) + (4x - 5)
1 min.
-3x - 4
GAME BOARD
Add and
Subtract
Linear
Expressions
Add.
(11x + 2) + (-8x - 2)
1 min.
3x
GAME BOARD
Add and
Subtract
Linear
Expressions
Subtract.
(14x + 7) - (-3x + 2)
1 min.
17x + 5
GAME BOARD
Add and
Subtract
Linear
Expressions
The Giants scored (2x – 7) points,
while the Buccaneers scored (- 5x –
3) points. How many more points did
the Giants score than the
1 min.
30 sec.
Buccaneers?
(7x-4) points
GAME BOARD
Add and
Subtract
Linear
Expressions
2 min.
The table shows the number of goals scored
during each game. Write an expression for the
total number of goals scored in these 3 games.
Game
1
2
3
Goals
3x
4x-1
x+5
8x + 4
GAME BOARD
Factor
Linear
Expressions
Find the GCF of the pair of monomials.
15r, 25
30 sec.
5
GAME BOARD
Factor
Linear
Expressions
Find the GCF of the pair of monomials.
11gh, 33g
30 sec.
11g
GAME BOARD
Factor
Linear
Expressions
45 sec.
Factor the expression.
7 +14x
7 (1 + 2x)
GAME BOARD
Factor
Linear
Expressions
Factor the expression.
45x -18
45 sec.
9 (5x – 2)
GAME BOARD
Factor
Linear
Expressions
A square picture frame has a
perimeter of (24x + 36) inches.
What is the length of one side of the
2 min.
picture frame?
6x + 9
GAME BOARD
500 points
3 min.
GAME BOARD
At the Queens Outlet store, you buy
x computer games for $15 each and a
magazine for $6. Write an
expression in simplest form that
represents the total amount of
money you spend.
$15x + $6