Powers of 10
Find the value of 107
10000000
Simplify (-6)*(-6)2
-216
Find the value of the expression 107 x 103
107,000
Find the degree of the polynomial 3x3y6+5xy+x3
9
Classify the polynomial according to its degree and number of terms.
2s3t
quartic monomial
Write 10,000 as a power of 10.
104
Simplify 63/6
36
The planet Mars has an average distance from the sun of about 141,600,000 miles. Write this number in scientific notation.
1.416 x 108
Classify the polynomial according to its degree and number of terms.
8x
linear monomial
A company distributes its product by train and by truck. The cost of distributing by train can be modeled as -0.06x2 + 40x - 100, and the cost of distributing by trucks can be modeled as -0.03x2 + 22x - 145, where x is the number of tons of product distributed. Write a polynomial that represents the difference between the cost of distributing by train and the cost of distributing by trucks.
-0.03x2+18x+45
Write 0.01 as a power of 10.
10-2
Simplify (2/4)-3
8
Simplify (8.82 x 105) / (9 x 102) and write the answer in scientific notation.
9.8 x 102
A toy rocket is launched from a platform 34 feet above the ground at a speed of 90 feet per second. The height of the rocket in feet is given by the polynomial -16t2+90t+34, where t is the time in seconds. How high will the rocket be after 3 seconds?
160 feet
Find the degree of the polynomial 8x3y5 + 1.5xy + x2
8
Find the value of the power 104
10000
Evaluate a-2b0 for a=-3 and b=-3.
1/9
Simplify (4.1 x 1011) / (1 x 105)
4.1 x 106
Add: (5c5-c)+(c5+7c-2)
6c5+6c-2
Add (4b5 - b4)+(b5+6b4 -2)
5b5+5b4-2
Write 1,000,000 as a power of 10.
106
Simplify (-2)*(-2)4
-32
The planet Earth has an average distance from the sun of about 93,000,000 miles. Write this number in scientific notation.
9.3 x 107
A company distributes its product by train and by truck. The cost of distributing by train can be modeled as -0.09x2+34x-100, and the cost of distributing by trucks can be modeled as -0.04x2+22x-175, where x is the number of tons of product distributed. Write a polynomial that represents the DIFFERENCE between the cost of distributing by train and the cost of distributing by trucks.
-0.05x2+12x+75
A toy rocket is launched from a platform 31 feet above the ground at a speed of 96 feet per second. The height of the rocket in feet is given by the polynomial -16t2+96t+31, where t is the time in seconds. How high will the rocket be after 3 seconds?
175 feet