Jeopardy game by Joseph Rojas

2 System Equations

100

y = 10 + x; 

y = 2x

the value of x and y

x = 10; y = 20

200

y = 10x +1

y = 1/2x + 1

the value for x and y?

x = 0; y = 1

300

2y -3 = -1/2x

1/2x = 7y +3

the values for x and y

x = 6; y = 0

400

-x = -3y +18

3y = x +9

the values for x and y

there's no solution

500

Bobby wants to invest in the stock market. He wants to compare how many days it will take for both stock1 and 2 to have the same amount of money (m). Stock1 starts at $70 and increases 25 a day(t). Stock2 starts at 50 and increases $35 a day(t). 

It will take two days for both stocks to reach the same amount of money. (2, 120)

Absolute Value Equations and Inequalities

100

|x| +2 < 10 Solve

When in a number line, is the dot filled in?

-8 < x < 8

Is it filled in? No.

200

2|x| +2 ≥ 14  Solve

When in a number line, is the dot filled in?

6 ≤ x ≤ -6

Is it filled in? Yes.

300

1/2|x-4|> 4

When in a number line, is the dot filled in?

12>x<-4

Is it filled in? No

400

-1/3|3x|+12 ≤ 1 Solve

When graphed in a number line, is the dot filled in?

11≤x≤-11

Is it filled in? Yes

500

-2/6|2x|-2<-2

When graphed in a number line, is the dot filled in?

0 > x >0

Is it filled in? No

Binomial Theorem

100

3!

Solve by expanding

6

200

5!

120

300

₅C₃

10 

400

(x-3)³

x³-9x²+27x-27

500

(x+2)⁵

x⁵+10x⁴+40x³+80x²+80x+32

Inverse Functions

100

f(x) = 3x

Find the inverse

f^-1(x) = x(1/3)

200

f(x) = 3x+5

Find the inverse

f^-1(x) = x(1/3)-(5/3)

300

1/3y = x+3

Find the inverse

f^-1(x) = x(1/3)-3

400

f(x) = x²+5

find the inverse

f^-1(x) = -+√x-5

500

f(x) =√x-2, y ≥ 0

find the inverse

 f^-1(x) = x²+2

Factoring Quadratic Equations

100

x² +3x+2 

(x+2)(x+1)

200

a²-15a+36

(a-3)(a-12)

300

2x³+8x²-64x

2(x+8)(x-4)

400

5x²-35x+60

5(x-3)(x-4)

500

5x⁴-10x³-75x²

5x²(x-5)(x+3)