Final Exam Review

Graphing

100

A solution to the equation 5x-7y=-35

(-7,0) and (0,5) are just a couple of them!

200

Given the equation 2x+4y=10, finish the ordered pair:

(10,?)

(10,-5/2)

300

Find the x and y-intercepts of 6x+9y=18

(3,0) and (0,2)

400

Calculate slope given these 2 points:

(3, -5) and (3, 7)

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500

Write the equation for the line in slope intercept form given these two points:

(5/2, 4) and (0, -1)

y=2x-1

Systems of Equations

100

Is the system consistent?

y=2x-4

y=2x-7

No

200

Is the system independent?

2x+4y=8

4x+8y=16

No

300

Solve the system

x-y=5

x+y=3

(4,-1)

400

Solve the system

2x-y=10

y=3x-5

(-5,-20)

500

Solve the system

2x+3y=12

3x-y=-6

(6/11, 48/11)

Exponents and Polynomials

100

Add (x²+3x-2)+(4x-8)

x²+7x-10

200

Multiply -4x³(3x²-5x-27)

-12x⁵+20x⁴+108x³

300

Simplify (16x²-15)(16x²+15)

256x⁴-225

400

Simplify (4xy)^-3(8x³y⁶)²

x³y⁹

500

Multiply (2x-1)(4x²-5x+24)

8x³-14x²+53x-24

Radicals

100

Does the equation have 0, 1, or 2 real solutions?

2x²-4x+7=0

0 real solutions

200

Simplify sqrt(125/36)

5sqrt(5)/6

300

Simplify cbrt(16x⁵y³/729)

2xycbrt(2x²)/9

400

Solve x²-16=0

x=-4,4

500

Solve -3x²-12x+4=8

x= (6+/- sqrt(33))/3

Miscellaneous

100

Find the range: 4,6,89,12,0,32,-1

90

200

Find the median: 1,2,3,4,5,6

3.5

300

What is the probability of drawing a heart in a standard deck of cards?

1/4

400

What is the probability of rolling an 11 with two standard dice?

1/18

500

Find the mean: 4,5,12,-5,-8,24,10

6