Algebra 2 Midyear Jeopardy

Fun with Equations

100

Solve: 4x + 7 = 31

x = 6

200

Solve: 2(3x - 4) = 34

x = 7

300

Solve: 3(x + 1) - 2x = 21

x = 18

400

Solve |3x - 1| = 14

x = 5 and

x=-13/3

500

Solve: x³ - 9x² + 20x = 0

x(x-4)(x-5)=0

x = 0, x = 4, x = 5

Simplifying Expressions

100

Simplify: a(b - c) - 2a(c + b)

-1ab - 3ac

200

Simplify: -(x + 7) -2(4x + y)

-9x -7 -2y

300

Simplify: -4(3x - 2) -2(4 + 3x)

-18x

400

Solve by substitution:

y = 3x + 1

2x + y = 11

(2, 7) or x = 2, y = 7

500

Simplify: (3+5i)(1-3i)

18 - 4i

Miscellaneous

100

Is this a function: {(1, 2), (2, 3), (2, 4)} 

No 

200

Write the polynomial in standard form

4g – g3 + 3g2 – 2

-g³ +3g² + 4g - 2

300

What is the end behavior of the polynomial?

-5x⁴ + 3x³ - 2x² + 14x - 11

Falls on the left, falls on the right

(Down and Down)

400

Expand (x – 6)(2x² + 5x + 1)

2x³ - 7x² - 29x - 6

500

Divide:

(x³ + 2x² - 3x - 10) ÷ (x - 2) = ? 

x² + 4x + 5

Slopes and Lines

100

Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.

   y = 7x – 4            y = 7x - 3

Parallel

200

What is the slope of the line passing through (3,9) (5,4)?

-5/2

300

Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.

y = 4x - 3         y = 3x - 4

neither

400

What transformations would take you from the graph of y = f(x) to y = f(x + 3) - 6?

Shift left 3 and down 6

500

Find the x- and y-intercept of the

line 2x + 3y = –18

x-intercept is –9; y-intercept is –6.

Quadratic Functions

100

Solve: x² + 5x - 14 = 0

x = -7, x = 2

200

What is the axis of symmetry of the graph of y=x²-6x-1?

x = 3

300

Solve:

(3x - 1)(2x + 5) = 0

x = 1/3 and x = -5/2

400

Find the vertex of the quadratic equation.

x² + 4x + 8

(-2, 4)

500

The x-intercepts of the graph of 

y=x^2+3x-28

What are x = -7 and x = 4?