Unit 4 Jeopardy

Literal & Inequalities

100

Solve for a

ax + y = g

a = (g-y)/x 

or 

a = g/x - y/x

200

Solve and write your solution in interval notation:

2x - 6 > 18

(12, infinity)

300

Solve for y

6x + 3y = 15

y = -2x + 5

400

Solve for y  

4x - 6y + 12 = 0

y = 2/3 x + 2

500

Solve and state the solution in interval notation.

6(x + 3) < 4 - 2(x + 5)

(-infinity, -3)

Polynomials

100

Identify each for the polynomial: 4 + 5x - 7x³

a) Degree of the polynomial

b) Leading Term

c) Leading Coefficient

d) Type

a) Degree of the polynomial : 3

b) Leading Term : -7x³

c) Leading Coefficient : -7

d) Type: Trinomial

200

Identify each for the polynomial: 5x² - 3

a) Type

b) Constant

c) List all terms

a) Type: binomial

b) Constant: -3

c) List all terms: 5x², -3

300

Perform the following operations:

(3x² - 5x + 6) - 2(x³ + 5x - 4)

-2x³ + 3x² - 15x +14

400

Perform the following operation.

(x + 5) (3x² + 4x - 2)

3x³ + 19x² +18x - 10

500

Perform the following operation.

(2x - 3)²

4x² - 12x + 9

Factoring

100

Factor the following expression: 

-15y⁷ - 40y⁶

-5y⁶ (3y + 8)

200

Factor the following expression:

2y³ - 6y² - 7y + 21

(2y² - 7) (y - 3)

300

Factor the expression:

x² + 6x - 55

(x + 11) (x - 5)

400

Factor the expression: 

4a²b - 25b

b (2a + 5) (2a - 5)

500

Factor the expression: 

8x³ - 27

(2x - 3) (4x² + 6x + 9)

Linear and Quadratic

100

State whether each below are Linear or Quadratic: 

a)  5(x² - 3) = 2x + 4

b)  4 - 3x + 7 = 2(x - 3)

c) 13 = 5x² + 7

a) Quadratic

b) Linear

c) Quadratic

200

Explain how to solve for a linear equation.

Get all variables to one side of the equation and constants on the other side.  Then isolate the variable.

300

Explain when to use the square root method and the zero product property when solving an equation.  

When you have a quadratic equation, we use the square root method when there is not a bx term.  If there is a bx term we use zero product (factoring).

400

Solve: 

4x - 3 = 7 - 2(2x + 5)

Solution: All real numbers

500

Solve: 

1/2x - 3 = 2 (1/4x + 6)

Solution: No Solution

Solving Equations

100

Solve: 

5y² - 45 = 0

Solution: y = 3, -3

200

Solve

x² - 5x + 4 = 0

Solution: x = 4, 1

300

Solve:

2y + 5(3y - 1) = 6 + 3y + 6y - 7

Solution: y = 1/2

400

Solve: 

5/9 (x - 4) = 2 (1/18 x - 3)

x = -17/2

500

Solve:

3x² + x = 10

Solution: x = 5/3, -2