Semester 1 Final

Quadratics

100

Factor 2x^2 - 7x - 15

What is (2x+3)(x-5)

200

What is the vertex for y=-(x-2)^2+3

2,3

300

Find the minimum value: y=x^2 - 8x + 3

What is -13

400

Find the zeros: y= -2(x+3)^2+2

What is -2,-4

500

Find the vertex of y= 2x^2 + 4x + 1

What is vertex (-1,-1) y-int 1

Polynomials

100

What is the end behavior? y = -3x^5 + 2x^4 - x^2 + 5x - 4

What is up/down

200

Solve: 2x^3 + 6x^2 - 20x = 0

What is 0,-5,2

300

Give all zeros and end behaviors y=(2x+3)(x-1)(x-4)

What is zeros -3/2, 1, 4, down and up

400

Solve x^4 - 3x^2 - 4 = 0

What is 2, -2, i, -i

500

Write a polynomial with zeros -2, 3, 1

What is y=x^3-2x^2-5x+6

Radicals/Polynomials

100

Sqrt(3x+10) - 5 = 2

What is 13

200

Find f(2) given f(x) = 5x^7+9x^6+2x^4-7x^3+4x+9

What is -7

300

Simplify (x-3)^2 - 10x

What is x^2 - 16x + 9

400

Divide 3x^3 - 5x^2 + 8x - 4 by x-2

What is 3x^2+x+10 r 16

500

 sqrt(5x-4) + 2 = x

What is 8

Exponents/Functions

100

(x^3)(y^4) multiplied by (x^-5)(y^2)

What is y^6/x^2

200

f(x) = (3x^2)+5x-2 g(x) = 2x+3 find (f-g)(x)

What is 3x^2+3x-5

300

Simplify (x^5/3y^-1/2)^6

What is x^10/y^3

400

f(x) = x+2 g(x) = x^2 - 4 find (f/g)(x)

What is 1/x-2 x cannot be 2,-2

500

f(x) = x^2 + 9 g(x) = (x) - 2 Find (f + g)(3)

What is 19

Exponential

100

Determine growth or decay and the y-intercept: y=3(1/2)^x

What is decay/3

200

Write an equation for an exponential equation with initial value of 3 and a rate of 1/3

What is y=3(1/3)^x

300

Invest $5,000 for 7 years at 3.2% compounded annually. How much to the nearest cent?

What is $6,233.44

400

A city with 700,000 grows 3.5% for 22 years. How many people to the nearest person?

What is 1,492,058

500

When will $5,200 be $7,400 invested annually at 4% interest?

What is 9 years