Precalculus Review

Quadratics

100

Evaluate 2^x + 2x + 10 for x = -2

25/4

200

Solve by factoring x^2 - 3x + 2 = 0

What is x = 1, 2

300

Solve using quadratic formula x^2 - 6x + 7 = 0

What is 3 + or - sqrt root of 2

400

Describe the three transformations that have happened to the following quadratic equation in vertex form:

y = -(x+3)² + 5

It has been reflected across the x axis, moved to the left 3 units, and moved up 5 units.

500

Solve for x

 -(x + 1)^2-25=0

-1+5i and -1 -5i

Equations and Complex Numbers

100

Solve |2x -5| = 11

x = 8 and x = -3

200

Solve the system 2x - 3y = -2 

                          x + 2y = 6

What is (2, 2)

300

Simplify (2 +3i)(-2 - i)

-1 - 8i

400

Solve log₃(2x+1) = 2

x = 4

500

solve for x 4^(x-5)=29

x = 7.43

Trigonometry/Circles

100

What ratios do sine, cosine, and tangent represent?

SOH CAH TOA

Sin=opp/hyp, cos=adj/hyp, tan=opp/adj

200

Convert 9pi/2 to degrees

810

300

Write the equation for a circle with the center at    (-4, 0) and a diameter of 10

(x + 4)² + y² = 25

400

Based on the unit circle, what is cos(pi/4)? EXACT ANSWERS ONLY (NO DECIMALS)!

sqrt(2)/2

500

Solve for angle A in a triangle if side a =17, side b =15 and angle B = 55degrees.

68.2 degrees

Miscellaneous

100

simplify the square root of 192

What is 8 sqrt 3

200

Find the x - intercepts for y = 3x^2 - 243

9 , -9

300

Find the 28th term in the sequence -15,-7,1...

201

400

Divide 3x^3 -2x -20 by x-2

What is 3x^2 + 6x +10

500

Simplify (x^2 + 2x - 24)/(x^2 - 11x +28)

What is (x +6)/(x-7)