Patrick Star's Algebra 1 Jeopardy

Quadratics

100

X-Intercepts are also called?

What is roots, zeros, and solutions.

200

Find the root of the following quadratic

x^2 + 14x − 15 = 0

What is x=1 and x=-15

300

Factor and solve the following quadratic

x^2−9=0

x=+3 or -3

400

Find the x-intercepts from the following:

y= 3(x + 4)(x − 3)

x=-4 and x=3

500

Find the x-intercepts from the following:

y = (2x − 3)(5x + 4)

x=3/2 and x=-4/5

Exponent Rules

100

What do you do to the coefficient when you have a product of powers question?

What is keep it the same.

200

If a number is elevated to a negative exponent what do you do with the negative exponent?

What is make the variable and the exponent the denominator.

300

Simplify the following

(-6x²y-12xy²)/-2xy

3x+6y

400

Simplify the square root of 392

What is 14 times the square root of 2

500

Simplify the following

(24x³y⁴-18x²y²-6xy)/-6xy

-4x²y³+3xy+1

Linear Functions

100

Find the intercepts of y=5x+75. (Identify the slope and y-intercept)

Slope:-5

Y-int: (0,75)

200

What is the slope of a line that passes through the points (-2,7) and (4,-6)

What is 13/-6

300

Find the x and y-intercepts from the equation -3x+6y=-24 

X-int:(8,0)

Y-int:(0,-4)

400

The cost of renting a car (y), in dollars, for a day and driving it (x) miles can be modeled by y=.10x+25. What is the cost per mile?

What is .10 cents

500

(a) varies directly as b. If a=2 when b=14, find b when a=6

What is b=42

Simplifying expressions and solving equations

100

Solve for x:

x-z=y

What is X=Y+Z

200

Solve for y:2(x+y)=z

What is y=-x+z/2

300

Solve for y: 

3x-5y=10

What is y=3/5x-2

400

Solve the following inequality:

2x+51<5x

17<x

500

Simplify

4(x²-2)-4(-3+5x)

4x²-20x+4

Polynomials

100

What is the quadratic form of the following

(X+9)²

What is x²+18x+81

200

Solve:

(2x+1)(x-1)

What is 2x²-x-1

300

Solve:

(y+4)(y-4)

y²-16

400

Solve:

(x+3)(x²+2x-4)

x³+5x²+2x-12

500

Solve:

-7m(3m²+4m+5)

What is -21m³-28m²-35m