Exponents
Scientific Notation
Polynomials
Roots and Radicals
Word Problems
100
Zero-Exponent Rule
Solve:
550
Zero
100
Write the given number in scientific notation.
550000000=
5.5 * 108
100
Classify each expression as a monomial, binomial, trinomial, or polynomial and give the degree and the degree and the leading coefficients.
-3x4
Classification: Monomial
Degree: 4
Leading coefficient: -3
100
Find the square root of :
√49
7
100
There are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $45. For one performance, 35 advance tickets and 25 same-day tickets were sold. The total amount paid for the tickets was $1275.
What was the price of each kind of ticket?
x = 15
y = 30
200
The Quotient Rule
Solve:
12x5y3 / 6x2y
2x3y2
200
Write the given number in standard form
5.96 * 102
596
200
Classify each expression as a monomial, binomial, trinomial, or polynomial and give the degree and the degree and the leading coefficients.
-5x + 7
Classification: Binomial
Degree: 1
Leading coefficient:-5
200
Simplify.
√125n
5√5n
200
The sum of two numbers is 58 and the difference is 8.
Let A be the bigger number
Let B be the smaller number
What are the numbers?
A= 33
B= 25
300
The Power Rule
Solve :
(2x3y2)3
8x9y6
300
Write the given number in scientific notation.
0.0000000009
9 * 10-10
300
Classify each expression as a monomial, binomial, trinomial, or polynomial and give the degree and the degree and the leading coefficients.
-x + x3 - 2x2
Classification: Trinomial
Degree: 3
Leading coefficient: 1
300
Put it in exact form:
3√54
3
300
One month Jessica rented 5 movies and 3 video games for a total of $32. The next month she rented 2 movies and 6 video games for a total of $38.
Find the rental cost for each movie and each video game.
x = 3.25
y = 5.25
400
The Product Rule
Solve:
(-2xy)(x2y)
-2x3y2
400
Write the given number in standard form
3.28 * 10-3
.00328
400
Classify each expression as a monomial, binomial, trinomial, or polynomial and give the degree and the degree and the leading coefficients.
4x - 7 + 8x2
Classification: Trinomial
Degree: 2
Leading coefficient: 8
400
Simplify
√180
6√5
400
Two buses leave towns 528mi apart at the same time and travel toward each other. One bus travels 14 mi/hr faster than the other.
If they meet in 4 hours, what is the rate of each bus?
x = 59
500
Negative exponent rule
Solve:
25-2
1/252
500
Perform the indicated operations and give your answer in scientific notation.
(5 * 102)(3.5 * 103)
1.75 * 106
500
Classify each expression as a monomial, binomial, trinomial, or polynomial and give the degree and the degree and the leading coefficients.
-7x + 8x6 + 3x5 + 9
Classification: Polynomial
Degree: 6
Leading coefficient:8
500
Multiply and simplify radicals
500
A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 higher than in the first. The tax in the first city was 8.5%, and the tax in second city was 8%. The total hotel tax paid for the two cities was $1027.50.
How much was the hotel charge in each city before tax?
x = 5,500
y = 7,000