Algebra-Geometry Review

Geometry

100

The reflexive property shows that if A=B and B=C then A=_

C

200

Which of these is not a congruence postulate, SAS, SSS, SSA, ASA

SSA

300

All interior angles of a hexagon add up to how many degrees?

360 degrees

400

What does similar mean in geometry

If we can map one figure onto the other using a sequence of rigid transformations and dilations, then the figures are similar.

500

What is an angle formed by two arms and having the vertex at the center of a circle.

A central angle

Cubic Functions

100

Find the roots of (x+1)(x-1)(x-3)

x=-1,1,3

200

Solve 3x³-6x²-x divided by x

3x²-6x–1

300

Factor x³ − 5x² + 4x − 20

(x-5)(x²+4)

400

Determine end behavior of 2x³−3x²+x−5

As x→∞ f(x)→∞, As x→−∞ f(x)→−∞

500

Factor  x³ + 5x² − 2x − 24

 (x - 2) (x + 3) (x + 4)

Logarithms

100

Solve log₁₀100

2

200

Solve 3*3^x=243

x=4

300

Solve log₂(x+3)=4

13

400

What is the logarithm base change rule? Use variables a, b and c

Log_ab = log_cb/Log_ca

500

What is the y-intercept of the function f(x)=log₂(x+3)? Put the answer in log base 2

(0,log₂(3))

Basic Trigonometry

100

The sine is the ratio of _

Opposite/Hypotenuse

200

What is the sin(pi/4) in radians

Sqrt(2)/2

300

What is the period of y=sin(x) in radians

2pi

400

In a unit circle what do the coordinates represent?

(cos(θ) , sin(θ)

500

In a right-angled triangle, if the length of the opposite side is 6 units and the length of the adjacent side is 8 units, what is the value of the tangent of the angle θ?

3/4

Other

100

What is the range of the parent square root function 

y≥0

200

What is the conjugate of 4+7i?

4-7i

300

What is the equation for a circle using variables x, h, k, and r

(x−h)²+(y−k)²=r²

400

What is the extraneous solution of sqrt(x+3)=x-1

x=2 and x=-1

500

What is the symmetry of the function x³-2x

Odd