Systems and Polynomials Jeopardy

Substitution

100

What variable will you substitute in the problem below?

y = 2x

3x + y = 5

y

200

Solve using substitution:

y = 2x + 5

y = -3x + 10

(1,7)

300

Solve using substitution:

x + 4y = 16

3x + 4y = 8

(-4,5)

400

Solve using substitution.

-y = -5x + 11

x – 3y = -9

(3,4)

Elimination

100

What variable will you eliminate in:

x + 8y = 20

−x + 2y = −30

X.

200

Solve using Elimination:

2x + 3y = 11

-2x + 5y = 13

(1,3)

300

Solve using elimination

-2y + 7x = 5

-3y + 7x = 4

(1,11)

400

Solve using elimination

18x – 12y = 42

-6x + 8y = 2

(5,4)

Multiplying Polynomials

100

6x ⋅ 7x 

49x^2

200

5x² (3x -9)

15x³ - 45x²

300

(-3x - 8)(-6x² + 4x)

18x³ + 36x² -32x

400

(3a² + y + 1)(8a + 2y)

24a³ + 8ay + 8a + 6a²y + 2y² + 2y

Factoring

100

What is the GCF of 24 and 18?

6

200

Factor: 

45x + 70

5(9x + 14)

300

Factor:

48x⁵ - 36x³

12x³(4x² - 3)

400

Factor:

16x³y + 12x²y – 4xy

4xy(4x² + 3x – y)

m Y s T e R y

100

Solve by graphing:

y= -5/3x +3

y= 1/3x - 3

(3,2)

200

What is the definition of a solution in a system of equations?

Where the lines intersect.

300

Write an equation for 2 lines, 1 parallel and 1 perpendicular to:

y= -4x + 18 

Answers will vary.

400

Simplify:

(2x + 5)(x – 7)(x – 3)

2x³ – 15x² – 8x + 105