Midterm Review Algebra 2

Standard and Vertex Form

100

The vertex of the graph of a quadratic in standard form.

What is (-b/2a, y)?

200

Covert this to standard form y = (x – 1)²

What is x²-2x+132?

300

Write this in vertex form f(x)=x²-6x-2

What is f(x)=(x-3)²-11 

400

The y-intercept of the graph 

y = -2(x+3)² +8.

What is (0,-10)?

500

What is the axis of symmetry in the equation y=-(x+2)²+3

What is x=-2?

Vertical Motion

100

The part of the graph that represents the time or distance at which the object reaches maximum height.

What is the x-coordinate of the vertex?

200

The part of the graph that represents the time or distance at which the object hits the ground.

What are the x-intercepts?

300

The part of the graph that represents maximum height of the object.

What is the y-coordinate of the vertex?

400

A man is launched from a cannon atop a 74 foot tower. The height of the man, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the man will reach max height, to the nearest 100th of a second.

y=-16x²+152x+74

What is 4.75 seconds?

500

A ball of glitter is thrown upward from the top of a 128 ft cliff with an initial velocity of 112 feet per second. Its height (h) after t seconds is:

h = -16t² +112t +128.

Determine when the glitter ball will hit the ground and make a beautiful mess.

What is 8 seconds?

Random

100

Find the next 3 terms of the sequence: 

-12, -5, 2, ...

9, 16, 23

200

What is the vertex for the equation x² + 4x + 1?

What is (-2, -3)? 

300

Find the 12th term of the sequence: 5, 16, 27, ...

126

400

What is the axis of symmetry for the equation, x² - 6x + 7

What is (3, -2)?

500

Find the 4th, 5th, and 6th term of the arithmetic sequence given the following explicit formula: 

a_n = 6n - 15 

9, 15, 21

Writing Equations (Geometric)

100

Write an equation for the nth term of the geometric sequences.

3, 15, 75, 375, 1875, ... 

a_n = 3*5^n-1

200

Write an equation for the nth term of the geometric sequences. 

324, 108, 36, 12, 4, ...

a_n) = 324 * (1/3

300

Write an equation for the nth term of the geometric sequences. 

1, -2, 4, -8, 16, ....

a_n=1 * (-2)^n-1

400

Write an equation for the nth term of the geometric sequences. Then find the 8th term

3, 6, 12, 24, ...

a_n= 3*(2)^n-1

a₈= 384

500

Write an equation for the nth term of the geometric sequences. Then find the 10th term

128, 64, 32, 16, 8, ...

a_n= 128(1/2)^n-1

a₁₀= 0.25

Writing Equations (Arithmetic)

100

Write an equation for the nth term of the arithmetic sequences. 

1, 4, 7, 10, 13, ...

a_n = 1 + (n - 1)3

200

Write an equation for the nth term of the arithmetic sequences. 

3, 8, 13, 18, 23, ...

a_n = 3 + (n - 1)5

300

Write an equation for the nth term of the arithmetic sequences. 

-8, -2, 4, 10, 16, ...

a_n = -8 + (n - 1)6

400

Write an equation for the nth term of the arithmetic sequences. Then find the 7th term.

-6, 1, 8, 15, 22, ...

a_n = -6 + (n - 1)7

a₇ = 36

500

Write an equation for the nth term of the arithmetic sequences. Find the 10th term

11, 4, -3, -10, -17, -24, ...

a_n = 11 + (n - 1)(-7)

a₁₀ = -52