Factoring & Solving Quadratics Review

Quadratics

100

Put the following into standard form:

y=-5+2x^2-2x

y=2x^2-2x-5

200

What is the name of a quadratic graph?

Parabola

300

Does this quadratic have a minimum or maximum?

f(x)=-3x^2 + 5x - 10

Max

400

What does an equation have to contain to be classified as a quadratic function?

x^2

500

Draw the graph of the parent quadratic function and give its equation

y=2x^2-28x+112

Graph drawn on white board.

Equation:  y = x^2

Factoring

100

Factor the following by GCF:

12x+30

6(2x+5)

200

Factor the following by GCF:

-40x^4-16x^2

-8x^2(5x^2+2)

300

Factor the following by GCF:

39x^2y^7z^3+30xy^3

3xy^3(13xy^4z^3+10)

400

Factor the following:

x^2+9x+20

(x+4)(x+5)

500

Factor:

2x^2-7x+5

(2x-5)(x-1)

Solving Quadratics

100

Solve by factoring:

x^2-8x = 0

x=8 or x = 0

200

Solve by factoring:

x^2+2x-76=4

x=8

x=-10

300

Solve by factoring:

3x^2-10x+7=0

x=7/3

x=1

400

Solve using the quadratic formula:

6x^2+x-15=0

x=3/2

x=-5/3

500

Solve using the quadratic formula:

9x^2+12x+1=-3

x=-2/3

2 numbers

100

Fill in the blanks with the same two numbers so that ___ • ___ = 15 and  ____ + ____ = 8

5 and 3

200

Fill in the blanks with the same two numbers so that ___ • ___ = -30 and  ____ + ____ =-1

-6 and 5

300

Fill in the blanks with the same two numbers so that ___ • ___ = 36 and  ____ + ____ =-13

-4 and -9

400

Fill in the blanks with the same two numbers so that ___ • ___ = -180 and  ____ + ____ = 41

-15-7i

500

Fill in the blanks with the same two numbers so that ___ • ___ = -100 and  ____ + ____ = -15

-20 and 5

Vocabulary

100

x² + 8x + 16

This is an example of _______________________

Perfect Square Trinomial

200

x² - 64

This is an example of ____________________.

Difference of Squares

300

4x² + 100

This is an example of ____________________.

GCF

400

Finish the pattern:  (a² - b²) = _________________

(a + b)(a - b)

500

Finish the pattern:  (a² -2ab + b²) = ______________

(a - b)²