Order of Operations
Simplify the expression:
43 + 16 ÷ 4
47
Which property does this show?
3 + 5 = 5 + 3
Commutative Property
Evaluate n + 9 for n = 18
27
Write the phrase as an algebraic expression:
the product of 5 and m
5m
3 x 13
39
Simplify the expression:
3 + 7(5) - 1
37
Which property is being used?
6 + 0 = 6
Identity Property
Evaluate the expression for the given value of the variable:
2x - 3 for x = 29
55
Evaluate the expression for the given value or the variable:
2 divided by u
2 / u
4,190 ÷ 24
174 r 14
Simplify the expression:
[1 + (2 + 5)2] x 2
100
Which property is being used?
4 x (4 x 2) = (4 x 4 ) x 2
Associative Property
Evaluate the expression for the given value of the variable:
5y2 + 3y2 for y = 2
26
Evaluate the expression for the given value or the variable:
3 times the sum of x and 6
3(x +6)
4a + 6b + a -b
4a and a 6b and b
5a + 5b
Maki paid a $14 basic fee plus $25 a day to rent a car. Simplify the expression 14 +5(25) to find out how much it cost her to rent the car for 5 days.
$139
Which property is this?
6( x + y) = 6x +6y
Distribution Property
Evaluate the expression for the given value of the variables:
5a - 3b for a = 4 and b = 3
16
Evaluate the expression for the given value or the variable:
4 divided by the difference of x and 27
4 / x - 27
The quotient of x times y and b plus c
xy / b+c
Bertha earned $8.00 per hour for 4 hours babysitting and $10.00 per hour for 5 hours painting a room. Simplify the expression 8 x 4 + 10 x 5 to find out how much Bertha earned in all.
$82
Which property is this?
xy = yx
Commutative Property
Evaluate the expression for the given value of the variables:
r2 + 15k r = 15 and k = 5
300
Evaluate the expression for the given value or the variable:
A 5-foot pine tree was planted and grew 2 feet each year. Write an algebraic expression for the height of the tree after t years.
5 + 2t
5