JeopardyLabs

Linear Systems

Quadratic Expressions

Quadratic Relations

Quadratic Equations

Trigonometry

100

When simplified, the equation 0.03x +0.5y = 14 becomes,

a) 3x + 5y = 140

b) 3x +50y = 14

c) 3x + 50y = 1400

c) 3x +50y = 1400

100

(-9)^-2 is equal to

a) 18

b) 81

c) 1/81

d) 1/-81

c) 1/81

100

Make an equation for a parabola that is reflected in the x-aaxis, is compressed by a factor of 2/3, is shifted 3 units to the left and 7 units down.

equation:

a=-2/3

h=-3

k=-7

equation: y=-2/3 (x+4)²-7

100

What is the quadratic equation formula?

ax² + bx + c = 0

100

△ABCis similar to △PQR with <A = <P = <C and <C = <R. Which side of △PQR corresponds to AB?

A. AC

b. QR

c. PQ

d. PR

c. PQ

200

Which is not a solution of x - y = 6?

a) (0, -6)

b) (9, -3)

c) (-8, -14)

b) (9, -3)

200

Evaluate (4¹ + 5^-2)⁰

a)1

b) 0

c) 104/25

d) 25/104

a) 1

200

parabola: y = -x² + 6

direct of opening:

Coordinates of vertex:

Eq'n of axis of symmetry:

Max/min value:

Domain (All possible x values):

Range (all possible y values):

direct of opening: downwards

Coordinates of vertex: (0,6)

Eq'n of axis of symmetry: y = 0

Max/min value: y = 6

Domain (All possible x values): {xfR}

Range (all possible y values): {yfR| y ≤ 6 }

200

Solve by factoring.

3x² - 10x + 8 = 0

3x² - 4c - 6x +8 = 0

x(3x - 4) - 2(3x - 4) = 0

(3x - 4)(x - 2) = 0

3x² - 10x + 8

24x²

200

What does "SOH CAH TOA" mean?

Sin OPP/HYP

Cos ADJ/HYP

Tan OPP/ADJ

300

How many solutions are found in the linear system:

y = 2x + 4 and 2y = 8 + 4x

a) infinite solutions

b) one

c) no solution

a) infinite solutions

300

Which is a perfect square trinomial?

a) x² + 6x +12

b) x² = 6x + 9

c) x²+6x-9

d) (x-5)²

b) x² = 6x + 9

300

y= 2(x+4)² - 5

direct of opening:

Coordinates of vertex:

Eq'n of axis of symmetry:

Max/min value:

Domain (All possible x values):

Range (all possible y values):

direct of opening: downwards

Coordinates of vertex:: (-1,-6)

Coordinates of vertex: y=-5

Eq'n of axis of symmetry: max = -5

Max/min value: {xfR}

{yfR| y< -5}

300

find min/max value for y=5x² - 40x + 76

y=5x² - 40x + 76

y= 5 (x² - 8x + 16 - 16) + 76

y=5 (x²- 8x + 16) +76 -80

y=5 (x - 4)² - 4

The vertex is (4, -4)

The min is y= -4

300

Determine the length of side p.

angle k = 62°

angle p = 52°

side k = 2.5

k/SIN k = p/SIN p

2.5/SIN 62° = p/SIN 52°

(2.5)(SIN52°)=(p)(SIN62°)

2.2m=p

400

John donated to a dog shelter in his town. He bought a total of 85 balls and chew toys combined. The balls cost $2 each, the chew toys were $4 each and the total amount spent was $264.

Define Variables and Solve.

Let x represent # of balls

Let y represent # of chew toys

Equation 1: x + y = 85

Equation 2: 2x + 4y = 264

Solve for x.

x = y + 85

Substitute x to 2nd eq'n Substitute y to 1st eq'n

2(-y+85)+4y=264 x + 46 = 85

-2y+170+4y=264 x = 85 - 47

2y=264-170 x = 38

2y=94

y=47

Therefore John bought 38 balls and 47 chew toys for the dog shelter.

400

2(3x-4)² - (x-5)(x+5)

Solve.

=2(9x² - 24x + 16) - (x²-25)

=18x² - 48x + 32 - x² + 25

= 17² - 48 + 57

400

Describe (using words) the transformations of this parabola.

y = -3 (x+2)² - 5

- The parabola is reflected across the x-axis

- Stretched by a factor of 3

- Horizontally shifted by 2 units to the left

- Vertically shifted 6 units down