Sequences and Series
Quadratic Function
Exponential and Logarithm Functions
Matrices and Determinant
Conic Section
100

The sequence is defined recursively by

a1=3,an=an−1+4.

What are 3, 7, 11, 15?

100

The quadratic x2−6x+10 has no real roots. This is because the discriminant is what value?

What is negative?

100

Solve exponential equation

2x=16

x=4

100

Simplify 


100

Find the center and radius x^2 + (y + 8)^2 = 9

what is center being (0,-8)

radius 3

200

A geometric sequence has a1=9 and a4=9/8. Find the common ratio.

What is r=1/2?

200

Solve using the quadratic formula:

2x2−3x−7=0.

What is x=(3±sqr65)/4?

200

Solve using logarithms

3x=20

x≈2.73

200

Identify element a23 from A = 


What is a23 = 2

200

Find the vertices: 

y2/16 - x2/36=1

(0,4) and (0,-4)

300

The 8th term of an arithmetic sequence is 52, and the 20th term is 100. Find the common difference.

What is d=4?

300

The graph of y=x2+4 is the graph of y=x2 shifted this direction.

What is up 4 units?

300

A population grows as

P=200(1.1)t

Find the population after 3 years.

266.2

300

What term do we use to describe a matrix that places a column of constants in the same matrix as the coefficients.

Augmented Matrix

300

Where is the center of the ellipse?

(x-2)2/9 + (y-1)2/4=1

(2,1)

400

A sequence satisfies an=an−1+an−2 with a1=1, a2=4. Find a5. Answer:  

What is 14?

400

The parabola y=a(x−4)2+7 passes through (6,15). Find a.

What is a=2?

400

Convert to exponential form

log⁡2(8)=x

2x=8

400

What is the formula for the determinant of a 2x2 matrix?
[ a b ]
[ c d ]

What is ad - bc?

400

Is the graph a parabola, circle, ellipse, or hyperbola?

x+ 25y2=50 

Ellipse

500

Find the common ratio of the sequence: 6,3,3/2,3/4,…

What is 1/2?

500

A quadratic has roots 4 and −1. Write the quadratic in standard form.

What is x2−3x−4?

500

Evaluate logarithm

log⁡10(1000)

3

500

Evaluate the determinant of
[ 6 -2 ]
[ 5  1 ]

What is 16?

500

Locate the foci of the equation:

x2/4 - y2/1 =1

(±sqrt(5),0)

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