PM Alg final review

Systems of Equations

100

Solve the System of Equation

y=6x+6

y=3x+6

(0,6)

200

Solve the System of Equations

3x+y=6

4x+2y=8

(2,0)

300

Solve the System of Equations

4x+3y=6

3x+3y=7

(-1,10/3)

400

Solve the System of Equations

2x+3y=-11

-8x-5y=9

(2,-5)

500

Two groups go to the movies. Each group is made up of adults and children.  Group A bought 3 adult tickets and 4 child tickets and spent $40.  Group B bought 4 adult tickets and 6 child tickets and spent $56.  How much did each ticket cost?

Adult $8

Child $4

Exponent Properties

100

Multiply Together

(-2x²)(6x⁶)

-12x⁸

200

Multiply Together

(2x³)⁴(x³)³

16x²¹

300

Divide

(p¹²t⁷r²)/(p²t⁷r)

p¹⁰r

400

((2x⁵y⁸z)(16x⁷y⁴z³))⁰

1

500

simplify the expression

625^3/4

125

Scientific Notation

100

Expand into standard form

8.43x10⁴

84,300

200

put into scientific notation

.000034

3.4x10^-5

300

Multiply together

(1.2x10³)(1.45x10¹²)

1.74x10¹⁵

400

Divide

(1.035x10⁸)/(2.3x10⁴)

4.5x10³

500

Multiply

(2.01x10^-4)(8.9x10^-3)

1.789x10^-6

Sequences

100

Find the equation for the Sequence

-6, -24, -96, ....

A_n=-6(4)^n-1

200

Find the equation for the sequence

72, 36, 18, ....

A_n=72(1/2)^n-1

300

Find the 9th term of the sequence

-6, 12, -24, ...

-1536

400

Find the 18th term of the sequence

2, 6, 18, ...

258,280,326

500

Find the 10th term of the sequence

72, 48, 32, ....

4096/2187

Polynomials

100

Factor

x²+17x+42

(x+3)(x+14)

200

Find the solutions

-24-10x+x²=0

(x+2)(x-12)=0

x=-2 and x=12

300

Find the solutions

2x²+9x-18=0

x=3/2 and x=-6

400

Find the solutions

4X²=25

x=5/2 and x=-5/2

500

Find solutions to

4X²-24x+36=0

x=3