Jeopardy Review Part 1

Co-efficients

100

What is the constant in the following equation? 

6x² + 14x - 4 = 0

-4

200

What is the leading coefficient of the following:

3 + 6x² - 7x⁴

-7

300

Write the following in standard form:

10x³ + 12x⁴ - 5x + 8x²+ 5

12x⁴ + 10x³ + 8x² -5x + 5

400

Identify the leading coefficient and constant in the following expression.

3x² + 7x -6 + 2x³

Leading coefficient = 2

Constant = -6

500

Identify the leading coefficient and constant of the following expression:

10x³ + x⁴ +6 + 2x - 0

Leading coefficient = 1

Constant = 6

Distributive Property

100

Use distributive property: 1/3x (6x² - 3x + 9)

2x³ - x² + 3x

200

Use distributive property: 2(x + 3)

2x + 6

300

Use distributive property: 3x(x² +4x)

3x³ + 12x²

400

Use distributive property:

4x(x - 5)

4x² - 20

500

Use distributive property:

7y(x² - 3xy + 5x)

7x²y - 21xy² + 35xy

Multiplying Polynomials

100

Multiply: (x + 1)(x + 9)

x² + 10x + 9

200

What is (x + 4)² ?

x² + 8x + 16

300

The product of (2x + 3) and (2x - 3) is the following...

4x² - 9

400

Determine the product of the following:'

(4x - 2x²)(2x - 6)

- 4x³ + 20x² -24x

500

Find the product: 

(4x³ + 2x² + 6) (x⁵ + 4x⁴ - x³ + x² - 4)

4x⁸ + 14x⁷ - 12x⁶ + 12x⁵ + 22x⁴ - 22x³ + 14x² - 24

System of Equations

100

Which ordered pair is a solution to the following system of equations?

2x + 3y = 11

4x - y = 15

1] (1,3)  2] (2,-7)  3] (3,4) 4] (4,1)

(4,1)

200

Find a solution to the following system of equations:

5x +2y = 36

3x -2y = 12

(6,3)

300

The equation x + 3y = c has the point (4,7) in its solution set. What is c?

c = 25

400

Find an equation that has one of its solutions, the solution to the system of equations. 

6x + 5y = 11

2x + 6y = 15

8x + 11y = 26

500

Solve this system of equations using the substitution method. 

y = 5x - 7

3x - 4y = - 6

(2,3)

Sequences and Solutions

100

A sequence is defined recursively by 

a₁ = -2

a_n = 3a_n-1 + 1

What is the value of a₄?

a₄ = -41

200

Which of the equations below have the same solution?

1. 10(x-5) = -15

2. 4 + 2(x-2) = 9

3. 1/3x = 3/2

2 and 3

300

If x does not equal 0, then the common ratio of the sequence x, 2x², 4x³, 8x⁴, 16x⁵,.... is

1. 2x

2. 2

3. x

4. 1/2x

2x

400

If the point (K, -5) lies on the line whose equation is 3x + y = 7, then the value of K is. 

K = 4

500

Solve for x: (2x + 3) + (4x + 5) = 32

x = 4