Jeopardy Final Review

Systems

100

If 2 graphed lines are parallel, how many solutions would there be?

No Solution

200

Solve the following system:

y = x - 4

y = -2x - 7

(-1, -5)

300

Solve the following system:

x = y + 4

10x + 2y = 16

(2, -2)

400

Solve the following system:

5x + 10y = -5

-5x - y = 32

(-7, 3)

500

Solve the following system:

2x + 2y = 2

5x + 4y = 2

(-2, 3)

Functions

100

What is the POINT in the following equation, written in point-slope form?

y - 5 = -2 (x + 4)

(-4, 5)

200

Is the following set of ordered pairs a function?

{(-2, 5), (3, -2), (9, 4), (-5, 5), (-2, 3)}

YES, every input has exactly one output.

300

Convert the equation into slope-intercept form:

y - 4 = -5 (x + 2)

y = -5x - 6

400

List the Domain & the Range of the following set of ordered pairs, determine if it is a function, and explain.

{(3, 4), (5, 6), (-2, 0), (-3, -6), (5, 0), (11, 9)}

Domain: {-3, -3, 3, 5, 11}

Range: {-6, 0, 4, 6, 9}

NO it is not a function as the domain value of 5 goes to 2 different range values.

500

Write the slope-intercept form of the equation between the two points:

(-1, 6) and (4, -4)

y = -2x + 4

Exponents

100

Simplify:

x² * x⁵

x⁷

200

Simplify:

a¹² / a⁶

a⁶

300

Simplify:

3x⁰

3

400

Simplify:

(3x⁴)²

9x⁸

500

Write the expression with only positive exponents:

w^-2x^-3 / y^-5z^-1

y⁵z / w²x³

Polynomials

100

Simplify:

(3x⁴ - 2x) + (4x⁴ + 6x)

7x⁴ + 4x

200

Simplify:

(3x³ + 4) - (6x³ - 7)

-3x³ + 11

300

Simplify:

-5(3x - 4)

-15x + 20

400

Simplify:

(x - 3)(x + 8)

x² + 5x - 24

500

Simpify:

(6x³ - 9x² + 12x)/ (3x)

2x² - 3x + 4

Factoring & Quadratics

100

Factor:

6x² + 10x

2x(3x + 5)

200

Factor out the GCF:

3m⁵ + 4m⁴ - 6m³

m³ (3m² + 4m -6)

300

Factor:

x² + 5x + 6

(x + 2)(x + 3)

400

Solve by Factoring:

x² - 7x - 18 = 0

x = 9 or x = -2

500

Solve the Quadratic:

x² - 100 = 0

x = 10 or - 10