Leilun’s Algebra Jeopardy!

Factoring Trinomials

100

Find the GCF.

3x⁴-9x²-12x

GCF: 3x

200

Simplify.

5n(3n³-n²+8)

product: 15n⁴-5n³+40n

300

Factor.

4x⁵-24x³+8x

answer: 4(x-6x²+2x)

400

Simplify.

-x³(9x⁴-2x³+7)

answer:-9x⁷+2x⁶-7x

500

Factor.

-6x⁴-18x³-12x²

answer: -6x²(x²+3x+2)

Properties of Exponents

100

Simplify.

x¹⁰/x⁴

quotient: x⁶

200

Simplify.

(4xy)^-1

answer: 1/4xy

300

Simplify.

(4a³b²)(3a^-4b^-3)

product: 12/ab

400

Simplify.

12g⁸h⁴/g³h⁵

quotient: 12g⁵/h

500

Simplify.

(2x³y^-3)(2x^-1y³)

product: 4x²

Slope and Y-Intercept

100

Find the slope and y-intercept.

3x-4y=-16

slope: m=3/4

y-intercept: b=4

200

Find the slope intercept form of these coordinates.

(0,3) 

(5,6)

(10,9)

(15,12)

slope intercept form: y=3/5x+3

300

Find the slope intercept form of these coordinates.

(-2,-8)

(0,4)

(2,0)

(4,4)

slope intercept form: y=2x-4

400

Find the slope and y-intercept.

y+2=1/2(x-2)

slope: m=1/2

y-intercept: b=-3

500

Find the slope intercept form of these coordinates.

(-21,15)

(-14,11)

(-7,7)

(0,3)

(21,-9)

slope intercept form: y=-4/7x+3

Polynomial Expressions

100

Simplify.

(5x-3)(2x+1)

product: 10x²-x-3

200

Simplify.

(3x+1)(x+4)

product:3x²+13x+4

300

Simplify.

(6x³-12x+1)+(8x²+10x-6)

answer:6x³+8x²-2x-5

400

Simplify.

(3x²+x-5)(2x-7)

product: 6x³-19x²-17x+35

500

Simplify.

5(4x³-2x²+1)+3(7x²-5x-4)

answer: 20x³+11x²-15x-7

System of Equations

100

5x-6y=-32

3x+6y=48

(2,7)

200

x+2y=24

8x-6y=16

(8,8)

300

-6x-3y=-3

5x-6y=28

(2,-3)

400

7x+2y=28

14x+9y=21

(6,-7)

500

-8x-12y=28

2x+3y=-7

all solutions