Evaluating Algebraic Expressions
Writing Expressions
Properties of Addition
Properties of Multiplication
The Distributive Property
100
Evaluate (k+10) when k=14
14+10=24
100
The sum of 4 and 15
4+15
100
What is the commutative property of addition?
changing the order of addends does not change the sum
100
What is the commutative property of multiplication? Give an example
the order of factors does not change the product: 7 x 4 x 2=2 x 4 x 7
100
evaluate 4(n+5)
4n+20
200
a divided by b, when a=27 and b=3
27 divided by 3 = 9
200
the difference of r from 36
36-r
200
What is the associative property of addition?
changing the grouping of addends does not change the sum
200
What is the associative property of multiplication? give an example
the grouping of factors does not change the product. (7 x 4) x 2= 7 x (4 x 2)
200
evaluate: 20(5-p)
100-20p
300
evaluate xy when x=4 and y=11
(4)(11)=44
300
the quotient of 15 and 3
15 divided by 3
300
What is the addition property of zero? give an example.
adding any number to zero will be that number. example: 5+0=5
300
what is the multiplication property of one? give an example
any number times 1 is that number. example: 5 x 1=5
300
evaluate: 2(n+5+12)
2n+10+24=2n+34
400
Evaluate 45+3w when w=5
45+3(5)=45+15=60
400
An ice skater is penalized 1.2 points for a fall. Write an expression for the ice skater's final score.`
x-1.2
400
tell which property is illustrated: (5+0)=2=5+2
the addition property of 0
400
what is the multiplication property of 0. give an example
any number times 0 is 0. example: 5 x 0=0
400
evaluate: 23+(4+f)2
23+8+2f=31+2f
500
It costs 50 dollars to rent ice skates, and then an addition $2 for each hour that you have the skates. If you have the skates for 3 hours, how much money will you need to pay?
50+2h=50+2(3)=50+6=$56
500
One number is four times another. The larger number is x. Write an expression for the smaller number.
x/4
500
tell which two properties are illustrated: (5+x)+3=3+(5+x)=(3+5)+x=8+x
1) commutative property of addition 2) the associative property of addition
500
name the three properties (in order) that are shown: 5 x (y x 1) =(y x 1) x 5 =y(1 x 5) =y x 5
1) commutative prop of multiplication 2) associative prop of multiplication 3) multiplication property of 1.
500
Each day, you run on a treadmill for r minutes and lift weights for 15 minutes. Write and evaluate an expression you can use to show how many minutes of exercise you do each day.
5(r+15)=5r+75