Algebra 1B Sem 2 Final Review

Chapter 11

100

What is the equation of the parabola that moves the parent graph of y=x² three units left?

y=(x+3)²

 

200

What is the vertex of the graph:  y=(x+7)² - 1

(-7, -1)

300

What is the axis of symmetry of y = 4x² - 3x + 1

x = 3/8

400

Solve:  0 = (x + 2)(x - 6)

x = -2   or   x = 6

500

Solve using the quadratic formula:  0 = 5x² + 2x - 3

x = -1   or   x= 0.6 (3/5)

Chapter 12

100

Solve: -5x < 40

x > -8

200

Solve: 10 < 2x+4 < 22

7 < x < 9

300

Write as a compound inequality.  x > -9 and x < 2

-9 < x < 2

400

Solve:  |x+4| > 9

x < -13 or x > 5

500

Give a third number that would form a triangle with: 2, 5, and ____.  

3 < x < 7

Chapter 13

100

Solve the system:  

y=2x + 1

y=2x - 3

No Solution.  Inconsistent System

200

Solve the system:

y=3x+1

2x+3y=14

(1, 4)

300

Solve the system:

2x - 5y = 10

3x + 5y = -20

(-2, -2.8)

400

Solve the system:  

y=x² - 3

y=-2x - 4

(-1, -2)

500

AHS bought 10 t-shirts, some priced at $8 and some on sale for $4.  They spent $68.  How many $4 t-shirts did they buy?

3

Chapter 14

100

Give a number that is a rational number but not an integer.

example: 1/2

200

Simplify:  √(24)

2√(6)

300

√(20x³y)

2x √(5xy)

400

Find the distance between: (5, 1) and (-8, 2)  Round to the nearest tenth if necessary.  

x=13

500

√(5x)=10

x = 20

Chapter 15

100

Find the next three terms:  5, 8, 11, 

14, 17, 20

200

Write the explicit formula for: 3, 8, 13, 18

a(n) = 3 + 5(n-1)

300

Write the recursive formula for: 200, 100, 50, 25

g₁= 200

g_n= (1/2)g_n-1

400

Find the missing term in the arithmetic sequence: 

11, ____, 37

24

500

If the geometric sequence has a constant ratio of -3 and g₅=900.  Determine g₃.

100