S2 Unit 3 Jeopardy

Factoring

100

Factor: 

y² + 6y + 9

(y + 3)²

200

Factor:

2x² + 7x - 9

(x - 1)(2x+9)

300

Factor:

9x² + 51x + 70

(3x + 7)(3x + 10)

400

Factor:

2x³ - 6x² - 5x + 15

(x - 3)(2x² - 5)

500

Factor:

a² - x² - 2x - 1

(a + x + 1)(a - x - 1)

Solving Equations 1

100

Solve:

x(x-2) = 0

{0, 2}

200

Solve:

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

{-2, 3}

300

Solve:

x² + 4x + 4 = 0

{-2}

400

Solve:

x² + 10 = 15x - 34

{4, 11}

500

Solve:

(x - 3)(x + 5) = 20

{-7, 5}

Solving Equations 2

100

Solve:

(x - 6)(x - 3) = 0

{-6, 3}

200

Solve:

6x(3x - 1)(x + 4) = 0

{-4, 0, 1/3}

300

Solve:

x² = 25

{-5, 5}

400

Solve:

5x² - 5x = 30

{-2, 3}

500

Solve:

x³ + x² = 4x + 4

{-2, -1, 1, 2}

Word Problems 1

100

If a number is added to its square, the result is 56. Find the number(s)

7 and -8

200

The product of two consecutive negative ODD integers is 255. Find the integers

-17 and -15

300

The length of a rectangle is 3 more than the width. The area of the rectangle is 40 square meters. Find the dimensions of the rectangle.

5m x 8m

400

I have three consecutive positive integers. The sum of the squares of the first and third terms is 34. Find the integers.

3, 4, 5

500

A rectangular picture measures 24 in by 30 in. You want to add a frame of uniform width. If the entire picture and frame has an area of 1080 square inches, what is the width of the frame?

3 inches

Word Problems 2

100

Find two consecutive negative integers whose product is 90

-10, -9

200

The length of a rectangle is 5 cm greater than its width. Find the dimensions of the rectangle is its area is 105 square meters? SETUP ONLY! Do not solve!

x(x + 5) = 105

300

You have a 4 x 6 in picture. You want to add a frame of universal width around the picture in order for the framed picture to have an area double that of the original picture. Find the dimensions of the framed picture. SETUP ONLY! DO NOT SOLVE

(2x + 4)(2x + 6) = 48

400

A positive number is 30 less than its square. Find the number

6

500

A farmer plants a rectangular pumpkin patch in the northeast corner of a square plot of land. The area of the pumpkin patch is 600 square meters. What is the area of the square plot of land? SETUP THE PROBLEM! DO NOT SOLVE

(Find picture on handout to give to students!)

(x - 30)(x - 40) = 600