Math 2 Exam Review Part 1

Polynomials

100

(-4x²+2x-3)+(5x²-4x+8)

x²-2x+5

200

(6x²+4)-(3x²+5)

3x²-1

300

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

6x²-4x-10

400

(2x-4)(3x²-6x+1)

6x³-24x²+26x-4

500

(2x²-4x+6)(x²+5x-2)

2x⁴+6x³-18x²+38x-12

Factoring

100

Factor 14n²+10n

2n(7n+5)

200

Factor m³-m²+2m-2

(m²+2)(m-1)

300

Factor m²-11m+18

(m-9)(m-2)

400

Solve by Factoring:

x²-9x+14=-4

x=3, 6

500

FactorFactor and solve:

-5x^2+14=-6

x=-2 and x=2

Radicals

100

Simplify sqrt(75)

5 * sqrt(3)

200

Simplify sqrt(512m³)

16m*sqrt(2m)

300

Simplify sqrt(18) + sqrt(2)

4 * sqrt(2)

400

Find the area of a rectangle with length = sqrt(24) and width = sqrt(8)

8*sqrt(3)

500

If P is power (in watts) and R is resistance (in ohms), then the voltage V necessary to run the circuit is V = sqrt(PR). Find the voltage necessary to run a 40-watt amplifier with a resistance of 150 ohms.

20*sqrt(15)

Quadratics

100

Find the axis of symmetry for the equation y = 2x²+8x-5.

x = -2

200

Find the vertex of y = -3x²+18x-13 without a graph.

(3, 14)

300

Find the zeros by factoring: x²+4x=0

x = -4 and x = 0

400

Solve the following quadratic equation by using the quadratic formula: y = 4x²-17x-15

x = 5 and x = -3/4

500

Solve the following quadratic equation by completing the square: x²+10x+16=0. MUST SHOW WORK!

x = -2 and x = -8

Quadratics Applications

100

Calculator active: A ball being thrown in the air can be modeled by the equation h=-4.9t²+14t+49, where h represents height in feet and t represents time in seconds. How long does it take for the ball to reach its maximum height?

1.43 seconds

200

Calculator active: The equation -15t²+60t+3 represents the height of a water balloon at t seconds. How long will it take for the water balloon to hit the ground?

3.95 seconds

300

Calculator active: -16t²+64t+80 represents the height of a rocket at t time in seconds. How long does it take the rocket to reach 100 ft on its ascent?

0.34 seconds

400

The equation P=-3x²+12x+2 represents the amount of P profit for the x cost of an item. What is the maximum profit for the sale of the item?

$14

500

The equation h=-16t²+198t+25 represents the height of a diver jumping off a cliff after t seconds. What is the height of the diver after 5 seconds?

615 ft

Random Math Stuff

100

Solve for x:

4(2x-1)-3x=16

x=4

200

 Radicals:

sqrt72

6sqrt2

300

use the quadratic formula to solve:

a:1

b:10

c:18

-5+sqrt7 and -5-sqrt2

400

9|x-1|=18

x=3 and x=-1

500

what are the transformations: 

1/2 |x+5|-3

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