Monomials
Is 87 a monomial? Why or why not?
Yes because it is a number.
Simplify:
x-5x8
x3
A rectangle has a width of 4xy3 and a length of 5x2y2. What is the area?
20x3y5
Write in scientific notation:
2,900,000
2.9*106
A cube has a side length of 3*106 inches. What is the volume?
2.7*1019 inches3
Is 4x9 a monomial? Why or why not?
Yes because it is a number multiplied by a variable.
Simplify:
4-3
1/64
16a8b8
Write in standard form:
2.05*10-5
0.0000205
Kasey spends $2.3*103 a month. There are 1.2*10 months in a year. How much money does Kasey spend each year.
Kasey spends $27,600 each year. (2.76*104)
Is 5a5b7 a monomial? Why or why not?
Yes because it is a number multiplied by variables.
Simplify:
b4b-7
1/b3
A cube has a length of 5x4. What is the volume?
125x12
Evaluate. Write in both scientific notation and standard form:
(5.3*105)(2*104)
scientific notation: 1.06*1010
standard form: 10,600,000,000
A corporation earned a profit of $2.5*104 for 1*103 days on a row. What was the corporation's total profit during this time period?
The corporation's total profit was $25,000,000. (2.5*107)
Is (27x3)/(32) a monomial? Why or why not?
Yes because it is a variable (x3) multiplied by a number (27/32).
Simplify:
((2x2y6)5)0(3x2y3)4
81x8y12
A circle has a radius of 6a3. What is the area?
36a6 pi
Evaluate. Write in both scientific notation and standard form:
(4.2*10-3)2
scientific notation: 1.764*10-5
standard form: 0.00001764
Dunkin Donut's parking lot is 1.6*105 square feet. Starbucks' parking lot is 3.2*105 square feet. How many times bigger is Starbucks' parking lot compared to Dunkin's?
Starbucks' parking lot is two times bigger than Dunkin's.
Is (46a2)/(9b) a monomial? Why or why not?
No because there is a variable in the denominator.
Simplify:
(36x4y-3)/(33x-3y2)
(27x7)/(y5)
A block has a width of mn4, a length of 2m2n, and a height of 3n5. What is the volume?
6m3n10
Evaluate. Write in both scientific notation and standard form:
(3.6*104)/(4*10-3)
scientific notation: 9*107
standard form: 90,000,000
The population of Montville is 4*106 and the population of Lincoln Park is 8*103. How many times the population of Lincoln Park is Montville?
Montville has 500 times the population of Lincoln Park. (5*102)