Skylar's Jeopardy

Solving Multiple Step Equations

100

Solve for a: 5+14a=9a-5

a=-2

200

Solve to find the solution: y=-x+6 and y=3x-2

(2,4) Infinite Solutions

300

Solve for x: 2(x-5)=5x+23

x=-11

400

Solve for a: 4(2a+3)=-3(a-1)+31

a=2

500

Solve for x: 3(3x-8)-5(3x-8)=4(x-2)-6(x-2)

x=3

Systems of Equations and Inequalities

100

Solve with desmos: y=x-4 and x+y=10

(7,3)

200

Solve with desmos: 2x+y=11 and y=3x-9

(4,3)

300

The first step in solving by substitution is solving for a variable. Solve for x: -4x-5y=-17+45y

x=4.25-12.5y

400

Solve with substitution and find the solution: 2x-y=-4 and 6x-3y=-12

-12=-12 Infinite Solutions

500

Solve with substitution: y=13x+28 and 5x+15=30

(3,67)

Polynomials

100

Factor out the GCF: 5x-35

5(x-7)

200

Factor out the GCF: -10x²+60x

-10x(x-6)

300

Factor: 17x²+51x

17x(x+3)

400

Factor: 18m²n⁴-12m²n³+24m²n²

3m²n²(6n²-4n+8)

500

Factor: 36t⁵+40t⁴-160t³-20t²

4t²(9t³+10t²-40t-5)

Quadratics

100

What is the y-intercept: y=2x+8

8

200

What is the x-intercept: 2x=7y-9

-4.5

300

What are the zeros? Plug into desmos: 2x²+9x-5

x=-5 x=.5

400

What point is the vertex? Plug into desmos: 2x²+12x+25x

(-9.25, -171.125)

500

What is the axis of symmetry? Plug into desmos: 2x²+17x-9

-4.25

Factoring

100

Factor by grouping: y³+y²+2y+2

(y+1) (y²+2)

200

Factor by grouping: 2ab+14a+b+7

(b+7)(2a+1)

300

Factor by grouping: 35uv-15u⁴+49v-21u³

(7v-3u³)(5u+7)

400

Factor the trinomial: x²-7x+10

(x-5)(x²-2)

500

Factor the trinomial: 5x³-40x²+60x

5x(x-6)(x-2)