Algebra 2 Recap

Algebra 2 Recap

Based on yesterday's test

We need to recap what we've learned this year...

Sequences

Find the pattern in the list of numbers

Multiple Choice

Find the next three terms in this sequence: 10, 14, 18, 22

• 28, 34, 40

  
  

  Repeat the pattern

• 26, 30, 34

  
  

  Add 4

• Not enough information

Multiple Choice

What is the pattern (change) for the following sequence: -4, 8, -16, 32

• multiply by 2

• add 4 then times 2

• multiply by -2

Geometric or arithmetic?

Geometric : multiply (or divide)

Arithmetic : add (or subtract)

Multiple Choice

For the sequence: -1, -2, -4, -8, -16, state if is arithmetic, geometric or neither

• Arithmetic

• Geometric

• Neither

Closed form

Always start with your first term, and then end with the pattern

Multiple Choice

Write the closed form for the sequence: -4, 11, 26, 41

• A(n) = -4 + 15n

• A(n) = -4 - 15n

• A(n) = -4 + 11

• A(n) = -4 - 11n

Recursive formula

always in the form f(n) = f(n - 1) and then the pattern

Multiple Choice

Write the recursive form for the sequence: 6, 12, 18, 24, 30 ...

• f(n) = f(n - 1) + 6

  
  

  f(0) = 6

• f(n) = f(n - 1) * 6

  
  

  f(0) = 6

• f(n) = f(n - 1) * 2

  
  

  f(0) = 6

• f(n) = f(n - 1) + 2

  
  

  f(0) = 6

Finding slope of a line

Slope is the rate of change, with the ratio   $\frac{rise}{run}$  or

 $\frac{change\ y}{change\ x}$  

Multiple Choice

What is the slope of this line?

• $m=\frac{1}{2}$

• $m=-4$

• $m=2$

• $m=-\frac{1}{2}$

Multiple Choice

Find the slope between the two points: (-1, -5) and (-2, -6)

• $m=1$

• $m=5$

• $m=\frac{3}{11}$

• no picture, can't do it

Multiple Choice

Solve for x:

 $6\left(3x-1\right)-\left(-3x+7\right)=29$  

• x = 6

• x = 2

• x = 29

• not enough info

Multiple Choice

Find the x-intercepts for this equation (write as an ordered pair)

 $y=-16x+8$  

•  $\left(\frac{1}{2}\ ,\ 0\right)$  

•  $\left(0,\ \frac{8}{16}\right)$  

•  $\left(0\ ,\ \frac{1}{2}\right)$  

• (0, 0)