EOC Review

Quadratics

100

What is the value of the positive zero of the function, f, defined by f(x) = 4x² + 3x - 1? 

x = -1

200

What is the vertex of the quadratic on a graph?

f(x) = 2x² + 4x - 5

(-1,-7)

300

What is the value of the smaller zero of the function f(x) = 2x² – 8x – 24?

x = -2

Exponents

100

3x⁴y³ / 6x²y

x²y²/2

200

(5x³y⁸)²

25x⁶y¹⁸

300

8m³r^-2 / 4m⁵r

2 / m²r³

Word Problems

100

The cost to rent a construction crane is $750 per day plus $250 per hour of use. What is the maximum number of hours the crane can be used each day if the rental cost is not to exceed $2500?

7 hours

200

The function a(n) = 3n – 7 represents the value of the nth term in a sequence. What is the sum of the 2nd and 8th terms of the sequence? 

16

300

Karen has two dogs. The larger dog weighs 3 pounds more than the smaller dog. The combined weight of the two dogs is 15 pounds. What is the weight, in pounds, of the smaller dog? 

6 pounds

Equations

100

Solve for x.

3(x - 4) = 2 (-2x + 1)

x = 2

200

9 = (v + 4) / (v + 12)

v = -13

300

7 - (5t - 13) = -25

t = 9

Random

100

A function is shown below.

g(x) = 19.60 + 1.74x

What is the value of g(30)? 

g(30) = 71.8

200

Two functions are shown below.

f(x) = 3x + 7

g(x) = 2x + 12

What is the value of x where the graphs of f(x) and g(x) intersect?

x = 5

300

The width of a rectangle is 3/4 its length. 

The perimeter of the rectangle is 420 ft.

What is the length, in feet, of the rectangle?

The length is 120