Alg. 2 Semester Review

Quadratic Equations

100

Write in standard form,  4x² - 5 = 2x + 7

4x² - 2x - 12

200

Multiply, ( x + 1)(3x - 1)

3x² + 2x - 1

300

Solve by Factoring, x² + 11x - 12

x = - 12  &  x = 1

400

Use the quadratic formula to solve,

    2x² + 4x - 3

x = -1 + (sqrt 10)/2

&

x = -1 - (sqrt 10)/2

500

Solve by Completing the Square,

               x² + 6x - 12

x = -3 + (sqrt 21)

&

x = -3 - (sqrt 21)

Polynomial Equations

100

Write in Standard form, 4x⁴ - 3x⁵ + x - 3

-3x⁵ + 4x⁴ + x - 3

200

Add, (4x - 3x² - 2) + (x² + 7 - 3x)

-2x² + x + 5

300

Multiply,  x(x³ - 2x² + 4x)

x⁴ - 2x³ + 4x² 

400

Divide,  (x³ - 3x - 1) / (x - 3)

x² + 3x + 6 + 17/(x-3) 

500

Factor by Grouping then solve,

   x^3 + 2x^2 - 16x - 32 = 0

x = -2

x = 4

x = -4

Matrices

100

what is the dimension of the matrix

2   3

6   7

8   9

3 x 2

200

what is the element in a₂₄ ?

   1   2   3   0

   9   2   4  -1

   0   8   7   3

   5   7   9   2

a₂₄ = -1

300

Add,

1   -3          -9   4

-5   2           7   3

-8   1

 2   5

400

Subtract,

1   -3          -9   4

-5   2           7   3

10   -7

-12  -1

500

Multiply,

1   -3          -9   4

-5   2           7   3

-30   -5

 59   -14

Evaluating Expressions

100

Evaluate 2x - 9 when x = -2

-13

200

Evaluate when 2x² - (x + 7) when x = -3

14

300

Evaluate abc when a = -1, b = -2, & c = -3

-6

400

Evaluate f(x) = x⁴ - 3x² + 5  for f(-2)

9

500

Evaluate f(x) = -5x³ - 2x²+ 3x - 4 for f(-1)

-4

Misc.

100

How many children does Dr. Raines have?

2

200

How many team state titles does LCA have in track?

2

300

How many years has LCA been in operation?

21 years

400

In what city was the Declaration of Independence singed?

Philadelphia, Pennsylvania 

500

In what year did the US Civil War end?

1865