Algebra Final Exam

Slope/Functions

100

Solve:   7x+3y=-21

y=-7/3x-7

200

f(x)=-2x-5

Find the range if the domain is {0,1,-2}

(-5,-7,-1)

300

Determine the zero of the function

y=x+7

x=-7

400

What is the slope?  y=4/3x+3

4/3

500

Determine the zero of the function

6x-y=-3

x=-1/2

Inequalities/Radicals

100

√9y³

3y√y

200

√42x²y⁵

xy²√42y

300

³√72ab⁵

2b ³√9ab²

400

Solve:   6u-18-4u<22

u<20

500

The student council is sponsoring a concert fundraiser.  Tickets are $3 for students and $5 for adults.  The council wants to raise at least $1,000.  If 200 students attend, how many adults must attend?

a≥ 80

Variations/Exponents

100

a^-2b⁰c^-1

1/a²c¹

200

7xy^-8z

7xz/y⁸

300

The profit for a string fundraiser varies directly with the number of chocolates sold.  If Adam makes $6.25 when she sells 5 chocolates, how many chocolates must she sell to reach $25.

She must sell 20 chocolates.

400

The time it takes to paint a hotel varies inversely with the number of painters.  If it takes 24 hours for 5 painters to finish, how many painters will it take to finish in 15 hours?

It takes 8 painters.

500

Solve:   16⁰

1

Polynomials/Trinomials

100

Solve:   c²-4c-12

(x-6)(x+2)

200

Solve:   2m²+10m+25

Prime

300

Solve:   (7r²-6r-6)(2r-4)

14r³-40r²+12r+24

400

Solve:   (5a-3b)+(2a+6b)

7a+3b

500

Determine the length of the rectangle with a length of 7x-1 and a width of 2x+3.

14x²-19x-3

Parallel and Perpendicular

100

Solve:   y=5/2x-4 parallel to (-2,3)

y=5/2x+8

200

Solve:   y=-2x+5 perpendicular to (4,-10)

y=1/2x-12

300

Solve:    2x-y=6; parallel to (-6,-9)

y=2x+3

400

Solve:  3x+4y=12 perpendicular to (7,1)

y=4/3x-25/3

500

Is the following line parallel, perpendicular, or neither?

y=2x-5 and y=2x+3

Parallel