Algebra 2 Semester Review

Roots & Radicals

100

i² = ?

-1

200

Simplify sqrt(x¹⁶)

|x⁸|

300

Simplify sqrt(45/80)

3/4

400

Solve for n in sqrt (5n - 4) - 9 = 0

n = 17

500

(3-10i)(3+10i)

109

Quadratic Equations & Functions

100

x if x² = 9

-3, 3

200

x if 2x² = 98 

x = -7, 7

300

x if x² - 10x + 25

5

400

x if 2x² + 9x - 5 = 0

x = -5, 1/2

500

How does the graph of y = x² change if the equation becomes y = 4(x + 2)² - 3

To the left 2 units and up 3 units compressed by 4

Matrices

100

| 1  3  5 |   +   | -1  7  8 |

| 4  7  9 |        | -9  2  7 |

| 0  10  13 |

| -5  9  16 |

200

      | 2  4  6 |

4 * | 1  2  3 |

      | 0  3  7 |

|  8  16  24 |

|  4   8   12 |

|  0  12  28 |

300

det | 0  1  1 |

      | 2  3  0 |

      | 0  0  2 |

-4

400

Find (x, y) if 

2x - y = 10

3x + 2y = 1

(3, -4)

500

Find (x, y, z) if 

x - y + z = 0

2x - 3z = -1

-x - y + 2z = -1

(1, 2, 1)

Conics

100

Midpoint of 

( -1, 2 ) and ( 3, 4 )

( 1, 3)

200

Distance between 

( 9, 2 ) and ( 12, 6 )

5

300

Equation of the circle if radius = 30 units and center is ( -3, -4 )

(x+3)² + (x+4)² = 900

400

Find the equation of the ellipse if 

vertices are (6, -8) and (6, 4) 

co-vertices are (3, -2) and (9, -2)

(y+2)² / 36  +  (x-6)² / 9  = 1

500

Find an equation for the hyperbola with 

vertices at (-8, 8) and (-8, 0) 

foci at (-8, 12) and (-8, -4)

[(y-4)² / 16]  - [(x+8)² / 48] = 1

Random

100

The capital of Chile

Santiago

200

Who won the Madrid Open

Carlos Alcaraz

300

Wyoming’s largest lake, it lies right in the middle of a national park.

Yellowstone Lake

400

Military alliance the US joined in 1949

NATO

500

The seven scores in a tennis game

love, 15, 30, 40, deuce, ad-in, ad-out