Honors Unit 3 Benchmark

Polynomials

100

Find the product: (x+2)(x+4)

What is x²+6x+8

200

(-x² + 5x) - (x² - 6 - 5x)

-2x²+10x+6

300

(4x³ - 5x + 8) + (x² + 6x - 15)

4x³ + x² + x - 7

400

A rectangle has a length of 5x + 2 and a width of x - 4. Write an expression in simplest form to represent the area of the rectangle.

5x² - 18x - 8

Solve by Factoring

100

Solve the following quadratic equation by factoring. 

2x² - 5x - 3 = 0

x = -1/2 x = 3

200

Solve the following quadratic equation : 

2x² - 8x = 10

x = 5 x = -1

300

Solve the following quadratic equation : 2x² + 9x + 4 = 0

x = -1/2 x = -4

400

Solve the following quadratic equation : 4x² - 17x - 15 = 0

x = 5 x = -3/4

Graphing

100

Find the vertex 

(-1,2)

200

What is the vertex? 

y = -3x² + 3

(0,3)

300

Find the vertex.

y = 1/3x² + 6x + 3

(-9,-24)

400

Create your table of values for the equation.

y = -x² - 4x - 4  (use calculator)

x     y

-4   -4

-3    -1

-2    0

-1     -1

0      -4