7th Grade Math Pre-Algebra Unit 5 - Statistics, Polynomials, Nonlinear Functions

What is the value of 6! ?
( ! is the symbol for 'factorial'.)
On your way home from a ski trip you stop for dinner at the Country Kitchen. There are 12 choices for a side dish with your dinner. You are allowed 2 different side dishes with your dinner. How many combinations of two different side dishes are there?
1. 78
2. 66
3. 132
4. 11,880
An arrangement where order is not important is called a ___________ .
1. permutation
2. combination
You have a chance to win a day off at school. Each student will draw a number from a box. There are 900 numbers in the box. What are the odds that you will not draw the winning number?
1. 900 to 1
2. 899 to 1
3. 1 to 900
4. 1 to 899
Check the correct statements below:
1. The formula for calulating the probability of two independent events is:
  P(A and B) = P(A) x P(B)
2. The formula for calulating the probability of two dependent events is:
  P(A and B) = P(A) x P(B)
3. The formula for calulating the probability of two mutually exclusive events is:
  P(A or B) = P(A) + P(B)
4. The formula for calulating the probability of two dependent events is:
  P(A and B) = P(A) x P(B following A)
You have the following cards:
2,6,4,5,9,7,8

Find the following probability:
P(5 or greater than 6) = __________
Check which statements apply to a polynomial:
1. x + 4/x² is a polynomial.
2. A polynomial is an algebraic expression that contains one or more monomials.
3. The term √4y can appear in a polynomial.
4. x² + 3y + 6 is a binomial.
5. The degree of the polynomial:
  a⁴ - 7a² + 17, is 4
Check the correct statements below:
1. 5a³ - 7
  The degree of this polynomial is 3.
2. -14x²y - 17xy³
  The degree of this polynomial is 3.
3. 8mn³ -7
  The degree of this polynomial is 4.
4. 7jk²
  The degree of this polynomial is 2.
5. 14a²b² +5a
  The degree of this polynomial is 4.
What is the sum of:

(3a² - 8a - 14)
+ (- 9a² + 17a - 12)
1. 12a² + 9a - 26
2. - 6a² - 9a - 26
3. - 6a² + 9a - 26
4. 6a² + 9a - 26
Find the difference:

(8m³ - 6m² + 5)
- (- 9m³ + 19m + 22)
1. m³ - 6m² - 19 m + 27
2. 17m³ - 6m² - 19 m - 17
3. -17m³ - 6m² - 19 m + 17
4. -m³ - 6m² - 19 m + 27
If x = - 4, and y = 8, what is the product of:

- 4 xy(-2y² + 9)
What is the product of:
- 6a(3a² - 4a + 2)
1. - 42a² -12a
2. - 18a³ - 24a² - 12a
3. - 18a³ +24a² -12a
4. 18a³ +24a² -12a
The graphs of nonlinear functions
1. are straight lines
2. are not straight lines
3. may be either straight or curved lines
Which function is a cubic function?
1. 2y = 15x - 17
2. a = 7b² - 8b + 17
3. y = 2x³ - 3x - 4
4. a = b² + 25
Make a graph of the function represented in the following table.

Check the correct statenments below about this function.
1. This is a linear function.
2. This is a nonlinear function.
3. This function is a quadratic function
4. This function is a cubic function.