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6Expressions and Equations
6Expressions and Equations
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1
Use the distributive property and combine like terms:
12x+16
10x+16
12x+2
10x+6
2
Define Like Terms
Terms that have the exact same variable or no variable
a number, variable, or product of number and variable
something that is alike
parts of a math statement
3
Definition of variable.
A number that cannot change.
The number that is multiplied by the variable.
An expression that consists of one or more variables.
A letter or symbol that represents a number that can change.
4
Which uses the Associative Property of Multiplication?
2 X (5 X 8) = (2 X 5) X 8
2 + (5 + 8) = (2 + 5) + 8
2 X (5 X 8) = 2 X 5 X 8
2 (5 X 8) = (2 X 5) 8
5
Factor the expression 15x-25y
5(3x-5y)
15x(1-10y)
I still don't know how to factor an expression
15(x-25y)
6
Identify the constant in the expression x - 4y + 108
1
4
-4
108
7
Use the Distributive Property and combine like terms if necessary.
18x + 21
8x + 21
8x + 7
15x + 21
8
Translating algebraic expressions
2x + 5
2x • 5
2x - 5
5x + 2
9
Write as an algebraic expression: 3 times the number of milk cartons,
m
, used by a 6th grade class
3m
3 - m
3 + m
3 / m
10
What is the commutative property?
a(b-c)=ab-ac
a+b=b+a
(a+b)+c=a+(b+c)
a(b+c)=ab+b+c
11
Define algebraic expression
A symbol, usually a letter, which takes the place of an unknown value
Factors are numbers you multiply together to produce a product.
A mathematical sentence that contains numbers, variables, and operations.
Expressions that are made up of terms separated by a plus or minus sign.
12
define terms
parts of a math problem
a part without a variable
a number attached to a variable
letters
13
Combine like terms
8a + 8
6a + 2
8a + 2
6a + 8
14
Identify the coefficient in the expression 5x + 8
13
8
x
5
15
Use the distributive property to simplify:
2x+6
3x+5
2x+5
2x+3
16
Combine like terms
1+3
4y+3x
3x+4y+2x
5x+4y+1
17
Write an algebraic expression for the following statement.
11-9n
9-11
9n-11
9n
18
Factor the expression. 12
n
+ 9
What's a factor?
12(n+9)
3(4n+3)
6(2n+9)
19
Write the expression using exponents: 8⋅r⋅r⋅r
11r
8r3
8⋅3r
8+3r
20
What is the definition of the distributive property?
multiply outer term to all the terms inside the parenthesis
Move outer term next to the variable inside the parenthesis
Ignore it and solve the equation
Add outer term to all the terms inside the parenthesis
21
Evaluate the expression for a= 4, b=6, c=2
2
10/2
5
8
22
Definition of constant.
The number that is multiplied by the variable.
A letter or symbol that represents a number that can change.
An expression that consists of one or more variables.
A number that cannot change.
23
Name the property in the definition and picture:
Commutative Properties
Identity Property of Multiplication
Associative Properties
Identity Property of Addition
24
Write an algebraic expression to represent the cost of 5 sandwiches,
s
, and a $1.50 bag of chips
5+s
5s+1.5
1.5s
6.50+s
25
Write the expression using exponents 5⋅c⋅c⋅d⋅d⋅d⋅d
5⋅2c⋅4d
11cd
5cd24
5c2d4